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Keywords = fuzzy description logics

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24 pages, 1929 KB  
Article
Enhancing Innovation and Resilience in Entrepreneurial Ecosystems Using Digital Twins and Fuzzy Optimization
by Zornitsa Yordanova and Hamed Nozari
Digital 2026, 6(1), 25; https://doi.org/10.3390/digital6010025 - 19 Mar 2026
Viewed by 318
Abstract
Entrepreneurial ecosystems are multi-actor, uncertain, and dynamic environments in which policymakers and investors must balance innovation, resilience, and cost. Despite the growing literature on entrepreneurial ecosystems, much of the existing research has focused on identifying the components and relationships among actors and has [...] Read more.
Entrepreneurial ecosystems are multi-actor, uncertain, and dynamic environments in which policymakers and investors must balance innovation, resilience, and cost. Despite the growing literature on entrepreneurial ecosystems, much of the existing research has focused on identifying the components and relationships among actors and has provided less prescriptive frameworks for evaluating resource allocation policies before implementation. To address this gap, this study presents a digital twin-based and fuzzy multiobjective optimization framework for resource orchestration in entrepreneurial ecosystems. The proposed framework combines dynamic ecosystem representation with multiobjective decision-making under uncertainty and allows for the testing of different resource allocation and policy scenarios before actual intervention. To solve the model, exact optimization in GAMS was used for small- and medium-sized samples, and NSGA-II and ACO algorithms were used for large-scale problems. The advantage of the proposed method is that, unlike purely descriptive approaches or deterministic models, it simultaneously considers uncertainty, time dynamics, and trade-offs between innovation, resilience, and cost in an integrated decision-making framework. Experimental evaluation was conducted based on simulated data calibrated with reliable public sources, and the performance of the algorithms was compared with reference methods in terms of computational time, solution quality, and stability. The results showed that metaheuristics, especially NSGA-II, significantly reduced the solution time in large-scale problems and at the same time produced solutions closer to the Pareto frontier and with greater stability. Sensitivity analysis also showed that in the designed scenarios, policy budgets have a more prominent effect on innovation, while resource capacity and structural diversification play a more important role in enhancing resilience. Also, improving resource efficiency has had the greatest effect on reducing the total system cost. From a theoretical perspective, the present study operationally models the logic of resource orchestration in entrepreneurial ecosystems through the integration of digital twins and fuzzy multi-objective optimization. From a managerial perspective, this framework acts as a decision-making engine that allows for ex ante testing of policies, clarification of trade-offs, and extraction of resource allocation rules under uncertainty. Full article
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21 pages, 387 KB  
Article
Inclusive Education in Context: A Comparative Analysis of Support Systems for Disabled Students in Pakistani and Kenyan Universities
by Muhammad Qasim Rana, Angela Lee and Lekan Damilola Ojo
Adm. Sci. 2026, 16(2), 81; https://doi.org/10.3390/admsci16020081 - 6 Feb 2026
Viewed by 789
Abstract
The pursuit of disabled students’ inclusion in higher education remains a significant global concern, particularly in developing nations where systemic and institutional barriers persist. Despite progressive legislative and policy frameworks promoting inclusive education, Kenyan and Pakistani universities continue to encounter structural, financial, and [...] Read more.
The pursuit of disabled students’ inclusion in higher education remains a significant global concern, particularly in developing nations where systemic and institutional barriers persist. Despite progressive legislative and policy frameworks promoting inclusive education, Kenyan and Pakistani universities continue to encounter structural, financial, and attitudinal challenges that hinder equal participation in learning and research for disabled students. This study aims to identify, analyze, and prioritize the complementary support strategies necessary for disabled students’ inclusion in learning and research opportunities in both Kenyan and Pakistani higher education institutions. Employing a quantitative research design, data were gathered through structured questionnaires distributed among disabled students in institutions of higher learning. The data were analyzed using the fuzzy synthetic evaluation (FSE) approach, which integrates fuzzy logic with descriptive statistics to objectively determine the weight, level of agreement, and internal consistency of the identified support strategies. Among the six support strategies, Physical Facility Support emerged as the most crucial in Pakistan, followed by Attitudinal and Community Support. On the other hand, the Kenyan group indicated Policies and Advocacy as the most essential support strategy for disabled students’ inclusion in higher education. The findings underscore that the two countries differ in how they prioritize support strategies for the inclusion of students with disabilities. This study contributes theoretically by advancing the application of the FSE model within inclusion research, offering a rigorous, data-driven framework for understanding multidimensional support strategies for disabled students. Full article
38 pages, 5207 KB  
Article
A Deterministic Assurance Framework for Licensable Explainable AI Grid-Interactive Nuclear Control
by Ahmed Abdelrahman Ibrahim and Hak-Kyu Lim
Energies 2025, 18(23), 6268; https://doi.org/10.3390/en18236268 - 28 Nov 2025
Cited by 1 | Viewed by 866
Abstract
Deploying deep reinforcement learning (DRL) in safety-critical nuclear control is limited less by raw performance than by the absence of licensable, audit-ready evidence. We introduce a Deterministic Assurance Framework (DTAF) that converts controller behavior into licensing-grade proof by combining the following: (i) deterministic [...] Read more.
Deploying deep reinforcement learning (DRL) in safety-critical nuclear control is limited less by raw performance than by the absence of licensable, audit-ready evidence. We introduce a Deterministic Assurance Framework (DTAF) that converts controller behavior into licensing-grade proof by combining the following: (i) deterministic licensing gates tied to formal safety and performance limits (e.g., Total Time Unsafe (TTU) = 0; bounded Transient Severity Score (TSS); and minimum Grid Load-Following Index (GLFI)); (ii) a portfolio of adversarial stress tests representative of off-nominal operation; and (iii) a traceability and explainability package that renders every evaluated action auditable. The DTAF is demonstrated on a high-fidelity pressurized-water-reactor (PWR) simulation model used as a software-in-the-loop testbed. Three governor architectures are evaluated under identical, fixed scenarios: a curriculum-trained Soft Actor–Critic (SAC) agent, and Differential-Evolution-optimized Proportional–Integral–Derivative (PID-DE) and Fuzzy-Logic (FLC-DE) Controllers. Performance is assessed deterministically via gate-aligned metrics—TTU, TSS, GLFI, cumulative control effort (CE_sum), valve-reversal count (V_rev), and speed overshoot (OS_ω). Across the adversarial portfolio, the SAC controller meets the predeclared licensing gates in single-run evaluations, whereas the strong conventional baselines violate gates in specific high-severity cases; where all methods remain within the safe envelope, the SAC delivers a higher GLFI and lower CE_sum, with fewer reversals and reduced overshoot. All licensing conclusions derive from deterministic single-run tests; a small, fixed-seed check (three seeds with descriptive intervals) is reported separately as non-licensing supplementary analysis. By producing transparent, reproducible artifacts, the DTAF offers a regulator-oriented pathway for qualifying DRL controllers in grid-interactive nuclear operations. Full article
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37 pages, 4381 KB  
Review
Enabling Reliable Freshwater Supply: A Review of Fuel Cell and Battery Hybridization for Solar- and Wind-Powered Desalination
by Levon Gevorkov, Hector del Pozo Gonzalez, Paula Arias, José Luis Domínguez-García and Lluis Trilla
Appl. Sci. 2025, 15(22), 12145; https://doi.org/10.3390/app152212145 - 16 Nov 2025
Cited by 1 | Viewed by 1527
Abstract
The global water crisis, intensified by climate change and population growth, underscores the critical need for sustainable water production. Desalination is a pivotal solution, but its energy-intensive nature demands a transition from fossil fuels to renewable sources. However, the inherent intermittency of solar [...] Read more.
The global water crisis, intensified by climate change and population growth, underscores the critical need for sustainable water production. Desalination is a pivotal solution, but its energy-intensive nature demands a transition from fossil fuels to renewable sources. However, the inherent intermittency of solar and wind power poses a fundamental challenge to the stable operation of desalination plants. This review provides a comprehensive analysis of a specifically tailored solution: hybrid energy storage systems (HESS) that synergistically combine batteries and hydrogen fuel cells (FC). Moving beyond a general description of hybridization, this study delves into the strategic complementarity of this pairing, where the high-power density and rapid response of lithium-ion batteries manage short-term fluctuations, while the high-energy density and steady output of fuel cells ensure long-duration, stable baseload power. This operational synergy is crucial for maintaining consistent pressure in processes like reverse osmosis (RO), thereby reducing membrane stress and improving system uptime. A central focus of this review is the critical role of advanced energy management systems (EMS). We synthesize findings on how intelligent control strategies, from fuzzy logic to metaheuristic optimization algorithms, are essential for managing the power split between components. These sophisticated EMS strategies do not merely ensure reliability, they actively optimize the system to minimize hydrogen consumption, reduce operational costs, and extend the lifespan of the hybrid energy storage components. The analysis confirms that a lithium-ion battery-fuel cell HESS, governed by an advanced EMS, effectively mitigates renewable intermittency to significantly enhance freshwater yield and overall system reliability. By integrating component-specific hybridization with smart control, this review establishes a framework for researchers and engineers to achieve significant levels of energy efficiency, economic viability, and sustainability in renewable-powered desalination. Full article
(This article belongs to the Section Energy Science and Technology)
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14 pages, 3608 KB  
Article
An Integrated Morphological Framework for Analyzing Informal Settlements: The Case of Saadi Neighborhood, Shiraz
by Sanaz Nezhadmasoum and Beser Oktay Vehbi
Urban Sci. 2025, 9(11), 448; https://doi.org/10.3390/urbansci9110448 - 30 Oct 2025
Cited by 2 | Viewed by 1253
Abstract
Informal settlements accommodate more than one billion people worldwide, yet their intricate urban forms are frequently perceived as chaotic, which impedes the formulation of sustainable upgrading strategies. The main objective of this research is to bridge a major methodological gap by developing analytical [...] Read more.
Informal settlements accommodate more than one billion people worldwide, yet their intricate urban forms are frequently perceived as chaotic, which impedes the formulation of sustainable upgrading strategies. The main objective of this research is to bridge a major methodological gap by developing analytical tools that can systematically decode the inherent spatial logic of such environments. This paper develops and applies an integrated four-part morphological framework designed to provide a deep, form-based reading of informal urbanism. The framework’s indicators were systematically derived from an extensive review of the literature and subsequently validated through the Fuzzy Delphi Method (FDM) with a panel of 15 experts, ensuring analytical robustness. The validated framework was then applied to the Saadi neighborhood, a representative informal settlement in Shiraz, Iran, using a multi-scalar, mixed-methods approach that integrated GIS, remote sensing, and in-depth field surveys. The analysis produced a comprehensive analytical atlas, culminating in a detailed morphological profile. The findings identify Saadi’s urban form not as disordered, but as a ‘consolidating, low-rise, fine-grained fabric shaped by topography,’ revealing a clear, self-organized spatial logic. The study concludes that the proposed framework is a robust and replicable tool for moving beyond pejorative descriptions of informality. By providing an evidence-based method to read the physical language of these settlements, the approach offers a crucial foundation for developing more context-sensitive and sustainable urban upgrading strategies. Full article
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24 pages, 4672 KB  
Article
Fuzzy Rule-Based Interpretation of Hand Gesture Intentions
by Dian Christy Silpani, Faizah Mappanyompa Rukka and Kaori Yoshida
Mathematics 2025, 13(19), 3118; https://doi.org/10.3390/math13193118 - 29 Sep 2025
Cited by 1 | Viewed by 1073
Abstract
This study investigates the interpretation of hand gestures in nonverbal communication, with particular attention paid to cases where gesture form does not reliably convey the intended meaning. Hand gestures are a key medium for expressing impressions, complementing or substituting verbal communication. For example, [...] Read more.
This study investigates the interpretation of hand gestures in nonverbal communication, with particular attention paid to cases where gesture form does not reliably convey the intended meaning. Hand gestures are a key medium for expressing impressions, complementing or substituting verbal communication. For example, the “Thumbs Up” gesture is generally associated with approval, yet its interpretation can vary across contexts and individuals. Using participant-generated descriptive words, sentiment analysis with the VADER method, and fuzzy membership modeling, this research examines the variability and ambiguity in gesture–intention mappings. Our results show that Negative gestures, such as “Thumbs Down,” consistently align with Negative sentiment, while Positive and Neutral gestures, including “Thumbs Sideways” and “So-so,” exhibit greater interpretive flexibility, often spanning adjacent sentiment categories. These findings demonstrate that rigid, category-based classification systems risk oversimplifying nonverbal communication, particularly for gestures with higher interpretive uncertainty. The proposed fuzzy logic-based framework offers a more context-sensitive and human-aligned approach to modeling gesture intention, with implications for affective computing, behavioral analysis, and human–computer interaction. Full article
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27 pages, 4366 KB  
Article
Fuzzy Logic-Based Optimization for Pseudocereal Processing: A Case Study on Buckwheat
by Mariana-Liliana Păcală, Anca Șipoș, Otto Ketney and Alexandrina Sîrbu
Processes 2025, 13(7), 2309; https://doi.org/10.3390/pr13072309 - 20 Jul 2025
Cited by 1 | Viewed by 1304
Abstract
In response to the increasing consumer interest in the health benefits of plant-based foods, in this study, fuzzy logic modeling (FLM) was used to optimize the lactic fermentation process of several buckwheat (Fagopyrum esculentum)-based substrates (B-bSs), which were bio-prospected [...] Read more.
In response to the increasing consumer interest in the health benefits of plant-based foods, in this study, fuzzy logic modeling (FLM) was used to optimize the lactic fermentation process of several buckwheat (Fagopyrum esculentum)-based substrates (B-bSs), which were bio-prospected for the development of pseudocereal-based fermented foodstuffs. The experimental methodology involved obtaining B-bSs, either green or roasted, under various milling conditions and subjecting them to two different types of thermal treatment. This experimental design allowed us to obtain a set of experimental data, based on which a fuzzy system was developed and calibrated. The main physicochemical characteristics (pH, total titratable acidity, dynamic viscosity, and color) and sensory attributes (appearance, color, aroma, taste, texture or mouthfeel, and overall acceptability) of B-bSs were evaluated. The fuzzy logic approach proved useful for monitoring the evolution of lactic fermentation and for the rapid and accurate identification of situations that require technological interventions, acting as a reliable tool for the ongoing optimization of fermentation processes. Our study’s results showed that the optimal technological variants identified using FLM corresponded to green buckwheat milled with a 0.12 mm gap disk and a hammer mill and subjected to ultrasonic water bath treatment. The hedonic descriptive sensory evaluation also validated this conclusion. Full article
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34 pages, 3299 KB  
Project Report
On Control Synthesis of Hydraulic Servomechanisms in Flight Controls Applications
by Ioan Ursu, Daniela Enciu and Adrian Toader
Actuators 2025, 14(7), 346; https://doi.org/10.3390/act14070346 - 14 Jul 2025
Cited by 1 | Viewed by 993
Abstract
This paper presents some of the most significant findings in the design of a hydraulic servomechanism for flight controls, which were primarily achieved by the first author during his activity in an aviation institute. These results are grouped into four main topics. The [...] Read more.
This paper presents some of the most significant findings in the design of a hydraulic servomechanism for flight controls, which were primarily achieved by the first author during his activity in an aviation institute. These results are grouped into four main topics. The first one outlines a classical theory, from the 1950s–1970s, of the analysis of nonlinear automatic systems and namely the issue of absolute stability. The uninformed public may be misled by the adjective “absolute”. This is not a “maximalist” solution of stability but rather highlights in the system of equations a nonlinear function that describes, for the case of hydraulic servomechanisms, the flow-control dependence in the distributor spool. This function is odd, and it is therefore located in quadrants 1 and 3. The decision regarding stability is made within the so-called Lurie problem and is materialized by a matrix inequality, called the Lefschetz condition, which must be satisfied by the parameters of the electrohydraulic servomechanism and also by the components of the control feedback vector. Another approach starts from a classical theorem of V. M. Popov, extended in a stochastic framework by T. Morozan and I. Ursu, which ends with the description of the local and global spool valve flow-control characteristics that ensure stability in the large with respect to bounded perturbations for the mechano-hydraulic servomechanism. We add that a conjecture regarding the more pronounced flexibility of mathematical models in relation to mathematical instruments (theories) was used. Furthermore, the second topic concerns, the importance of the impedance characteristic of the mechano-hydraulic servomechanism in preventing flutter of the flight controls is emphasized. Impedance, also called dynamic stiffness, is defined as the ratio, in a dynamic regime, between the output exerted force (at the actuator rod of the servomechanism) and the displacement induced by this force under the assumption of a blocked input. It is demonstrated in the paper that there are two forms of the impedance function: one that favors the appearance of flutter and another that allows for flutter damping. It is interesting to note that these theoretical considerations were established in the institute’s reports some time before their introduction in the Aviation Regulation AvP.970. However, it was precisely the absence of the impedance criterion in the regulation at the appropriate time that ultimately led, by chance or not, to a disaster: the crash of a prototype due to tailplane flutter. A third topic shows how an important problem in the theory of automatic systems of the 1970s–1980s, namely the robust synthesis of the servomechanism, is formulated, applied and solved in the case of an electrohydraulic servomechanism. In general, the solution of a robust servomechanism problem consists of two distinct components: a servo-compensator, in fact an internal model of the exogenous dynamics, and a stabilizing compensator. These components are adapted in the case of an electrohydraulic servomechanism. In addition to the classical case mentioned above, a synthesis problem of an anti-windup (anti-saturation) compensator is formulated and solved. The fourth topic, and the last one presented in detail, is the synthesis of a fuzzy supervised neurocontrol (FSNC) for the position tracking of an electrohydraulic servomechanism, with experimental validation, in the laboratory, of this control law. The neurocontrol module is designed using a single-layered perceptron architecture. Neurocontrol is in principle optimal, but it is not free from saturation. To this end, in order to counteract saturation, a Mamdani-type fuzzy logic was developed, which takes control when neurocontrol has saturated. It returns to neurocontrol when it returns to normal, respectively, when saturation is eliminated. What distinguishes this FSNC law is its simplicity and efficiency and especially the fact that against quite a few opponents in the field, it still works very well on quite complicated physical systems. Finally, a brief section reviews some recent works by the authors, in which current approaches to hydraulic servomechanisms are presented: the backstepping control synthesis technique, input delay treated with Lyapunov–Krasovskii functionals, and critical stability treated with Lyapunov–Malkin theory. Full article
(This article belongs to the Special Issue Advanced Technologies in Actuators for Control Systems)
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32 pages, 1553 KB  
Article
A Fuzzy Logic Framework for Text-Based Incident Prioritization: Mathematical Modeling and Case Study Evaluation
by Arturo Peralta, José A. Olivas and Pedro Navarro-Illana
Mathematics 2025, 13(12), 2014; https://doi.org/10.3390/math13122014 - 18 Jun 2025
Cited by 2 | Viewed by 2079
Abstract
Incident prioritization is a critical task in enterprise environments, where textual descriptions of service disruptions often contain vague or ambiguous language. Traditional machine learning models, while effective in rigid classification, struggle to interpret the linguistic uncertainty inherent in natural language reports. This paper [...] Read more.
Incident prioritization is a critical task in enterprise environments, where textual descriptions of service disruptions often contain vague or ambiguous language. Traditional machine learning models, while effective in rigid classification, struggle to interpret the linguistic uncertainty inherent in natural language reports. This paper proposes a fuzzy logic-based framework for incident categorization and prioritization, integrating natural language processing (NLP) with a formal system of fuzzy inference. The framework transforms semantic embeddings from incident reports into fuzzy sets, allowing incident severity and urgency to be represented as degrees of membership in multiple categories. A mathematical model based on Mamdani-type inference and triangular membership functions is developed to capture and process imprecise inputs. The proposed system is evaluated on a real-world dataset comprising 10,000 incident descriptions from a mid-sized technology enterprise. A comparative evaluation is conducted against two baseline models: a fine-tuned BERT classifier and a traditional support vector machine (SVM). Results show that the fuzzy logic approach achieves a 7.4% improvement in F1-score over BERT (92.1% vs. 85.7%) and a 12.5% improvement over SVM (92.1% vs. 79.6%) for medium-severity incidents, where linguistic ambiguity is most prevalent. Qualitative analysis from domain experts confirmed that the fuzzy model provided more interpretable and context-aware classifications, improving operator trust and alignment with human judgment. These findings suggest that fuzzy modeling offers a mathematically sound and operationally effective solution for managing uncertainty in text-based incident management, contributing to the broader understanding of mathematical modeling in enterprise-scale social phenomena. Full article
(This article belongs to the Special Issue Social Phenomena: Mathematical Modeling and Data Analysis)
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27 pages, 1030 KB  
Article
A Hybrid Mathematical Framework for Dynamic Incident Prioritization Using Fuzzy Q-Learning and Text Analytics
by Arturo Peralta, José A. Olivas, Pedro Navarro-Illana and Juan Alvarado
Mathematics 2025, 13(12), 1941; https://doi.org/10.3390/math13121941 - 11 Jun 2025
Cited by 2 | Viewed by 1711
Abstract
This paper presents a hybrid framework for dynamic incident prioritization in enterprise environments, combining fuzzy logic, natural language processing, and reinforcement learning. The proposed system models incident descriptions through semantic embeddings derived from advanced text analytics, which serve as state representations within a [...] Read more.
This paper presents a hybrid framework for dynamic incident prioritization in enterprise environments, combining fuzzy logic, natural language processing, and reinforcement learning. The proposed system models incident descriptions through semantic embeddings derived from advanced text analytics, which serve as state representations within a fuzzy Q-learning model. Severity and urgency are encoded as fuzzy variables, enabling the prioritization process to manage linguistic vagueness and operational uncertainty. A mathematical formulation of the fuzzy Q-learning algorithm is developed, including fuzzy state definition, reward function design, and convergence analysis. The system continuously updates its prioritization policy based on real-time feedback, adapting to evolving patterns in incident reports and resolution outcomes. Experimental evaluation on a dataset of 10,000 annotated incident descriptions demonstrates improved prioritization accuracy, particularly for ambiguous or borderline cases, and reveals a 19% performance gain over static fuzzy and deep learning-based baselines. The results validate the effectiveness of integrating fuzzy inference and reinforcement learning in incident management tasks requiring adaptability, transparency, and mathematical robustness. Full article
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35 pages, 432 KB  
Article
Correctness of Fuzzy Inference Systems Based on f-Inclusion
by Carolina Díaz-Montarroso, Nicolás Madrid and Eloísa Ramírez-Poussa
Mathematics 2025, 13(11), 1897; https://doi.org/10.3390/math13111897 - 5 Jun 2025
Viewed by 745
Abstract
Recent work has shown that the f-index of inclusion can serve as a foundation for modeling Generalized Modus Ponens. In this paper, we develop a novel fuzzy inference system based on this inference rule. To establish its soundness, we connect it to [...] Read more.
Recent work has shown that the f-index of inclusion can serve as a foundation for modeling Generalized Modus Ponens. In this paper, we develop a novel fuzzy inference system based on this inference rule. To establish its soundness, we connect it to a Fuzzy Description Logic LU enriched with fuzzy modifiers (also known as fuzzy hedges). This logic background provides to the approach a strength absent in most fuzzy inference systems in the literature, which allows us to formally prove a series of results that culminate in a final correctness theorem for the proposed fuzzy inference system. This paper also presents a running example aimed at showing the potential applicability of the proposal. Full article
(This article belongs to the Section E1: Mathematics and Computer Science)
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48 pages, 622 KB  
Article
A Proof Calculus for Automated Deduction in Propositional Product Logic
by Dušan Guller
Mathematics 2024, 12(23), 3805; https://doi.org/10.3390/math12233805 - 1 Dec 2024
Cited by 1 | Viewed by 1158
Abstract
Propositional product logic belongs to the basic fuzzy logics with continuous t-norms using the product t-norm (defined as the ordinary product of real numbers) on the unit interval [0,1]. This paper introduces a proof calculus for [...] Read more.
Propositional product logic belongs to the basic fuzzy logics with continuous t-norms using the product t-norm (defined as the ordinary product of real numbers) on the unit interval [0,1]. This paper introduces a proof calculus for the product logic which is suitable for automated deduction. The calculus provides one of possible generalisations of the family of modifications of the procedure (algorithm) of Davis, Putnam, Logemann, and Loveland (DPLL) in the context of fuzzy logics. We show that the calculus is refutation sound and finitely complete as well. The deduction, satisfiability, and validity problems are solved in the finite case. The achieved results contribute to the theoretical (logic and computational) description of multi-step fuzzy inference. Full article
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17 pages, 301 KB  
Article
Applying the Theory of Multi-Operations to Building Decision-Making Systems with a Large Number of Uncertainties
by Sergey Todikov, Yulia Shichkina and Nikolay Peryazev
Mathematics 2024, 12(23), 3694; https://doi.org/10.3390/math12233694 - 25 Nov 2024
Viewed by 1063
Abstract
This article is devoted to the practical application of multi-operations theory to the construction of decision-making systems and the description of the subsequent research results. Unlike classical multi-valued and fuzzy logic, where events are described by only two logical values, namely, “true” and [...] Read more.
This article is devoted to the practical application of multi-operations theory to the construction of decision-making systems and the description of the subsequent research results. Unlike classical multi-valued and fuzzy logic, where events are described by only two logical values, namely, “true” and “false”, when there are various types of uncertainty between these two states, the theory of multi-operations can be used to describe events using a larger number of logical values for the uncertainties between these states. This article demonstrates a new approach to processing input information using rank 3 multi-operations, i.e., considering input information for a set of three logical values and five values of uncertainty. This approach allows for saving time and resources when forming a subject area model for decision-making systems and when working with specific users. The application of this approach is illustrated in the article by using the example of determining the area of human disease. When testing this system, which is built on the basis of rank 3 multi-operations, we show that applying multi-operations theory allows for significant expansion of the range of accepted decisions; this makes the system more flexible for the construction of human–machine interfaces and organizes the integration of efforts in the development of humans and machines with a common goal. Full article
(This article belongs to the Special Issue Soft Computing and Uncertainty Learning with Applications)
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24 pages, 5888 KB  
Article
Fuzzy Logic Concepts, Developments and Implementation
by Reza Saatchi
Information 2024, 15(10), 656; https://doi.org/10.3390/info15100656 - 19 Oct 2024
Cited by 46 | Viewed by 19861
Abstract
Over the past few decades, the field of fuzzy logic has evolved significantly, leading to the development of diverse techniques and applications. Fuzzy logic has been successfully combined with other artificial intelligence techniques such as artificial neural networks, deep learning, robotics, and genetic [...] Read more.
Over the past few decades, the field of fuzzy logic has evolved significantly, leading to the development of diverse techniques and applications. Fuzzy logic has been successfully combined with other artificial intelligence techniques such as artificial neural networks, deep learning, robotics, and genetic algorithms, creating powerful tools for complex problem-solving applications. This article provides an informative description of some of the main concepts in the field of fuzzy logic. These include the types and roles of membership functions, fuzzy inference system (FIS), adaptive neuro-fuzzy inference system and fuzzy c-means clustering. The processes of fuzzification, defuzzification, implication, and determining fuzzy rules’ firing strengths are described. The article outlines some recent developments in the field of fuzzy logic, including its applications for decision support, industrial processes and control, data and telecommunication, and image and signal processing. Approaches to implementing fuzzy logic models are explained and, as an illustration, Matlab (version R2024b) is used to demonstrate implementation of a FIS. The prospects for future fuzzy logic developments are explored and example applications of hybrid fuzzy logic systems are provided. There remain extensive opportunities in further developing fuzzy logic-based techniques, including their further integration with various machine learning algorithms, and their adaptation into consumer products and industrial processes. Full article
(This article belongs to the Special Issue New Applications in Multiple Criteria Decision Analysis II)
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14 pages, 450 KB  
Article
Cooperative Adaptive Fuzzy Control for the Synchronization of Nonlinear Multi-Agent Systems under Input Saturation
by Jinxia Wu and Pengfei Cui
Mathematics 2024, 12(10), 1426; https://doi.org/10.3390/math12101426 - 7 May 2024
Cited by 3 | Viewed by 1340
Abstract
This research explores the synchronization issue of leader–follower systems with multiple nonlinear agents, which operate under input saturation constraints. Each follower operates under a spectrum of unknown dynamic nonlinear systems with non-strict feedback. Additionally, due to the fact that the agents may be [...] Read more.
This research explores the synchronization issue of leader–follower systems with multiple nonlinear agents, which operate under input saturation constraints. Each follower operates under a spectrum of unknown dynamic nonlinear systems with non-strict feedback. Additionally, due to the fact that the agents may be geographically dispersed or have different communication capabilities, only a subset of followers has direct communication with the leader. Compared to linear systems, nonlinear systems can provide a more detailed description of real-world physical models. However, input saturation is present in most real systems, due to various factors such as limited system energy and the physical constraints of the actuators. An auxiliary system of Nth order is introduced to counteract the impact of input saturation, which is then employed to create a collaborative controller. Due to the powerful capability of fuzzy logic systems in simulating complex nonlinear relationships, they are deployed to approximate the enigmatic nonlinear functions intrinsic to the systems. A distributed adaptive fuzzy state feedback controller is designed by approximating the derivative of the virtual controller by filters. The proposed controller ensures the synchronization of all follower outputs with the leader output in the communication graph. It is shown that all signals in the closed-loop system are semi-globally uniformly ultimately bounded, and the tracking errors converge to a small neighborhood around the origin. Finally, a numerical example is given to demonstrate the effectiveness of the proposed approach. Full article
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