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Keywords = complex picture fuzzy numbers

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41 pages, 3023 KB  
Article
An Extended VIKOR-Based Marine Equipment Reliability Assessment Method with Picture Fuzzy Information
by Chenlin Li and Baozhu Jia
J. Mar. Sci. Eng. 2025, 13(8), 1525; https://doi.org/10.3390/jmse13081525 - 8 Aug 2025
Cited by 1 | Viewed by 1141
Abstract
Reliable operation of marine equipment is crucial for ensuring vessel performance and safeguarding the safety of personnel and the marine environment. However, the complexity of evaluation criteria and the subjectivity inherent in expert judgments pose significant challenges for effective reliability assessment. To address [...] Read more.
Reliable operation of marine equipment is crucial for ensuring vessel performance and safeguarding the safety of personnel and the marine environment. However, the complexity of evaluation criteria and the subjectivity inherent in expert judgments pose significant challenges for effective reliability assessment. To address these challenges, this study proposes an extended VIKOR method within a group decision-making (GDM) framework based on picture fuzzy numbers. The method first collects expert evaluations through questionnaires and voting to construct individual decision matrices, and then it applies a newly developed entropy-based approach to determine attribute weights, resulting in a group-weighted decision matrix. Subsequently, an extended VIKOR model is introduced, where the group utility measure is derived from one positive reference matrix and two negative reference matrices, while the group regret measure is based on two negative reference matrices. To improve assessment precision, this study also introduces a novel normalized projection measure to evaluate the closeness between decision matrices. Finally, two ranking strategies are developed, for static and dynamic environments, respectively. The proposed method is validated through a case study on marine equipment reliability assessment, confirming its effectiveness and feasibility. This study provides valuable insights for both theoretical research and practical applications in maritime engineering. Full article
(This article belongs to the Section Ocean Engineering)
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25 pages, 3455 KB  
Article
Picture Fuzzy Soft Prioritized Aggregation Operators and Their Applications in Medical Diagnosis
by Jabbar Ahmmad and Tahir Mahmood
Symmetry 2023, 15(4), 861; https://doi.org/10.3390/sym15040861 - 4 Apr 2023
Cited by 15 | Viewed by 7204
Abstract
A medical diagnosis is one the most efficient processes of determining a disease based on a person’s symptoms and signs. In recent days, due to the complexities of the same type of diseases, it is very difficult to diagnose a disease by using [...] Read more.
A medical diagnosis is one the most efficient processes of determining a disease based on a person’s symptoms and signs. In recent days, due to the complexities of the same type of diseases, it is very difficult to diagnose a disease by using old methods and techniques. In this way, new and efficient medical diagnosis methods can help a lot in reaching an accurate conclusion, depending upon the timing and sequences of symptoms and medical history. The physician relies on other clues like medical tests and imaging tests. So, in this way, a list of possible diagnoses can be determined, which are referred to as different diagnoses. To handle these types of issues in this manuscript, additional information is identified, and possible disease is confirmed. Under the consideration of classical data, it is a very difficult task to deal with complex and asymmetric sorts of data. Fuzzy set theory has a wide range of applications, from engineering to the medical field. Different methods and techniques have been proposed to support the decision-making process in medical fields. Picture fuzzy soft sets are more generalized structures and efficient tools to formalize the information more decently and accurately. So, devoted from this notion, in this article based on picture fuzzy soft settings, we firstly have established some basic operational laws for picture fuzzy soft number; then based on these operational laws, we have developed some aggregation operators named as picture fuzzy soft prioritized average and geometric aggregation operators. In real-world problems, these operators can be useful in analyzing uncomfortable and asymmetric information. Furthermore, some basic properties of the introduced operators have been initiated and discussed briefly. Moreover, to show the effective use of this developed approach to medical diagnoses, we have proposed an algorithm, along with a descriptive example. Additionally, a comparative analysis of the proposed work shows the superiority and effectiveness of the introduced approach. Full article
(This article belongs to the Section B: Mathematics)
27 pages, 708 KB  
Article
Aggregated Power Indices for Measuring Indirect Control in Complex Corporate Networks with Float Shareholders
by Izabella Stach, Jacek Mercik, Cesarino Bertini, Barbara Gładysz and Jochen Staudacher
Entropy 2023, 25(3), 429; https://doi.org/10.3390/e25030429 - 27 Feb 2023
Cited by 1 | Viewed by 2668
Abstract
The purpose of this paper is to introduce new methods to measure the indirect control power of firms in complex corporate shareholding structures using the concept of power indices from cooperative game theory. The proposed measures vary in desirable properties satisfied, as well [...] Read more.
The purpose of this paper is to introduce new methods to measure the indirect control power of firms in complex corporate shareholding structures using the concept of power indices from cooperative game theory. The proposed measures vary in desirable properties satisfied, as well as in the bargaining models of power indices used to construct them. Hence, they can be used to produce different pictures of the coalitional strength of firms in control of other firms in mutual shareholding networks with the presence of cycles. Precisely, in the framework of Karos and Peters from 2015, ten power indices substitute the original Shapley and Shubik power index in a modular fashion. In this way, we obtain a set of new measures called aggregated indices. The float shareholders typically hold less than 5 percent of the outstanding shares, which is an uncertain element of indirect control in complex shareholding structures. The fuzzy number seems appropriate to model these shareholders’ behavior. The novelty is that we model the behavior of float using Z-fuzzy numbers. The new methods are tested in an example. Full article
(This article belongs to the Special Issue Decision Optimization in Information Theory and Game Theory)
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19 pages, 1745 KB  
Article
Biofuel Production Plant Location Selection Using Integrated Picture Fuzzy Weighted Aggregated Sum Product Assessment Framework
by Ibrahim M. Hezam, Fausto Cavallaro, Jyoti Lakshmi, Pratibha Rani and Subhanshu Goyal
Sustainability 2023, 15(5), 4215; https://doi.org/10.3390/su15054215 - 26 Feb 2023
Cited by 34 | Viewed by 3228
Abstract
As an alternative for sustainable transportation and economic development, biofuels are being promoted as renewable and climate-friendly resources of energy which can help to reduce the consumption of fossil fuels, some pollutant emissions and mitigate the climate change impact from transport. With the [...] Read more.
As an alternative for sustainable transportation and economic development, biofuels are being promoted as renewable and climate-friendly resources of energy which can help to reduce the consumption of fossil fuels, some pollutant emissions and mitigate the climate change impact from transport. With the successful development of the biofuel industry, the location selection for biofuel production plant is one of the major concerns for the governments and policymakers. Finding locations for the construction of new biofuel production plants includes several dimensions of sustainability, including economic, social and environmental; therefore, this selection process can be considered a complex multi-criteria decision-making problem with uncertainty. As an advanced version of fuzzy set, picture fuzzy set (PiFS) is one of the comprehensive tools to handle the uncertainty with the account of truth, abstinence and falsity membership degrees. Thus, this work proposes a new decision-making methodology based on the weighted aggregated sum product assessment (WASPAS) approach and similarity measure with picture fuzzy information. By using picture fuzzy numbers, the proposed methodology can effectively address the uncertain information and qualitative data that often occurs in practical applications. In this methodology, a picture fuzzy similarity measure-based weighting model is proposed to find the criteria weights under picture fuzzy environment. For this purpose, a new similarity measure is introduced to measure the degree of similarity between picture fuzzy numbers. Moreover, the rank of the options is determined based on an integrated WASPAS approach under a PiFS context. To illustrate the effectiveness of the proposed framework, a case study of biofuel production plant location selection is presented from the picture fuzzy perspective. Further, a comparison with existing methods is conducted to test the validity and applicability of the obtained results. The sensitivity analysis is performed with respect to different values of decision parameter, which proves the stability, robustness, and practicality of the proposed approach. The presented picture fuzzy WASPAS approach feasibly enables the policymakers to identify the most desirable location for a biofuel production plant by considering the social, environmental and economic aspects of sustainability. Full article
(This article belongs to the Special Issue Sustainable Biofuels Production from Biomass)
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30 pages, 4563 KB  
Article
A Multi-Attribute Decision-Making Approach for the Analysis of Vendor Management Using Novel Complex Picture Fuzzy Hamy Mean Operators
by Abrar Hussain, Kifayat Ullah, Dragan Pamucar and Đorđe Vranješ
Electronics 2022, 11(23), 3841; https://doi.org/10.3390/electronics11233841 - 22 Nov 2022
Cited by 29 | Viewed by 2624
Abstract
Vendor management systems (VMSs) are web-based software packages that can be used to manage businesses. The performance of the VMSs can be assessed using multi-attribute decision-making (MADM) techniques under uncertain situations. This article aims to analyze and assess the performance of VMSs using [...] Read more.
Vendor management systems (VMSs) are web-based software packages that can be used to manage businesses. The performance of the VMSs can be assessed using multi-attribute decision-making (MADM) techniques under uncertain situations. This article aims to analyze and assess the performance of VMSs using MADM techniques, especially when the uncertainty is of complex nature. To achieve the goals, we aim to explore Hany mean (HM) operators in the environment of complex picture fuzzy (CPF) sets (CPFSs). We introduce CPF Hamy mean (CPFHM) and CPF weighted HM (CPFWHM) operators. Moreover, the reliability of the newly proposed HM operators is examined by taking into account the properties of idempotency, monotonicity, and boundedness. A case study of VMS is briefly discussed, and a comprehensive numerical example is carried out to assess VMSs using the MADM technique based on CPFHM operators. The sensitivity analysis and comprehensive comparative analysis of the proposed work are discussed to point out the significance of the newly established results. Full article
(This article belongs to the Special Issue Trends and Applications in Information Systems and Technologies)
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28 pages, 1324 KB  
Article
Some q-Rung Picture Fuzzy Dombi Hamy Mean Operators with Their Application to Project Assessment
by Jiahuan He, Xindi Wang, Runtong Zhang and Li Li
Mathematics 2019, 7(5), 468; https://doi.org/10.3390/math7050468 - 24 May 2019
Cited by 45 | Viewed by 4987
Abstract
The recently proposed q-rung picture fuzzy set (q-RPFSs) can describe complex fuzzy and uncertain information effectively. The Hamy mean (HM) operator gets good performance in the process of information aggregation due to its ability to capturing the interrelationships among aggregated [...] Read more.
The recently proposed q-rung picture fuzzy set (q-RPFSs) can describe complex fuzzy and uncertain information effectively. The Hamy mean (HM) operator gets good performance in the process of information aggregation due to its ability to capturing the interrelationships among aggregated values. In this study, we extend HM to q-rung picture fuzzy environment, propose novel q-rung picture fuzzy aggregation operators, and demonstrate their application to multi-attribute group decision-making (MAGDM). First of all, on the basis of Dombi t-norm and t-conorm (DTT), we propose novel operational rules of q-rung picture fuzzy numbers (q-RPFNs). Second, we propose some new aggregation operators of q-RPFNs based on the newly-developed operations, i.e., the q-rung picture fuzzy Dombi Hamy mean (q-RPFDHM) operator, the q-rung picture fuzzy Dombi weighted Hamy mean (q-RPFDWHM) operator, the q-rung picture fuzzy Dombi dual Hamy mean (q-RPFDDHM) operator, and the q-rung picture fuzzy Dombi weighted dual Hamy mean (q-RPFDWDHM) operator. Properties of these operators are also discussed. Third, a new q-rung picture fuzzy MAGDM method is proposed with the help of the proposed operators. Finally, a best project selection example is provided to demonstrate the practicality and effectiveness of the new method. The superiorities of the proposed method are illustrated through comparative analysis. Full article
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