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  • Concept Paper
  • Open Access
3 Citations
63,802 Views
4 Pages

10 February 2014

The rules of logic are nearly 2500 years old and date back to Plato and Aristotle who set down the three laws of thought: identity, non-contradiction, and excluded middle. The use of language and logic has been adequate for us to develop mathematics,...

(This article belongs to the Special Issue Axioms of Decision Support System)
  • Review
  • Open Access
19 Citations
27,990 Views
30 Pages

A Review of Optimization Studies for System Appointment Scheduling

  • Tiantian Niu,
  • Bingyin Lei,
  • Li Guo,
  • Shu Fang and ,
  • Qihang Li,
  • Bingrui Gao,
  • Li Yang and
  • Kaiye Gao
  • + 3 authors+ 0 author

25 December 2023

In the face of an increasingly high-demand environment for outpatients, achieving a balance between allocation of limited medical resources and patient satisfaction has considerable social and economic benefits. Therefore, appointment scheduling (AS)...

  • Article
  • Open Access
77 Citations
19,311 Views
22 Pages

29 August 2023

Stock price prediction has been a subject of significant interest in the financial mathematics field. Recently, interest in natural language processing models has increased, and among them, transformer models, such as BERT and FinBERT, are attracting...

(This article belongs to the Special Issue Mathematical and Computational Finance Analysis)
  • Article
  • Open Access
32 Citations
17,699 Views
38 Pages

Spatial Statistical Models: An Overview under the Bayesian Approach

  • Francisco Louzada,
  • Diego Carvalho do Nascimento and
  • Osafu Augustine Egbon

17 November 2021

Spatial documentation is exponentially increasing given the availability of Big Data in the Internet of Things, enabled by device miniaturization and data storage capacity. Bayesian spatial statistics is a useful statistical tool to determine the dep...

(This article belongs to the Special Issue Mathematical Tools and Techniques Applicable to Probability Theory and Statistics)
  • Article
  • Open Access
237 Citations
17,032 Views
13 Pages

Brain Tumor Classification Using Dense Efficient-Net

  • Dillip Ranjan Nayak,
  • Neelamadhab Padhy,
  • Pradeep Kumar Mallick,
  • Mikhail Zymbler and
  • Sachin Kumar

17 January 2022

Brain tumors are most common in children and the elderly. It is a serious form of cancer caused by uncontrollable brain cell growth inside the skull. Tumor cells are notoriously difficult to classify due to their heterogeneity. Convolutional neural n...

(This article belongs to the Special Issue Mathematical Fuzzy Logic in the Emerging Fields of Engineering, Finance, and Computer Sciences)
  • Review
  • Open Access
191 Citations
16,634 Views
20 Pages

The SIC Question: History and State of Play

  • Christopher A. Fuchs,
  • Michael C. Hoang and
  • Blake C. Stacey

18 July 2017

Recent years have seen significant advances in the study of symmetric informationally complete (SIC) quantum measurements, also known as maximal sets of complex equiangular lines. Previously, the published record contained solutions up to dimension 6...

(This article belongs to the Special Issue Wavelet and Frame Constructions, with Applications)
  • Article
  • Open Access
78 Citations
16,005 Views
22 Pages

14 March 2021

On the heels of the online shopping boom during the Covid-19 pandemic, the electronic commerce (e-commerce) surge has many businesses facing an influx in product returns. Thus, relevant companies must implement robust reverse logistics strategies to...

(This article belongs to the Special Issue Multiple-Criteria Decision Making)
  • Article
  • Open Access
19 Citations
15,808 Views
25 Pages

14 July 2022

This study analyzes whether Bitcoin, gold, oil, and stock have the ability to hedge against inflation in high cryptocurrency adoption countries in the periods from January 2010 to March 2021. It is hypothesized that the assets behave differently and...

(This article belongs to the Special Issue Applied Mathematics in Finance and Economics)
  • Article
  • Open Access
43 Citations
15,111 Views
19 Pages

9 June 2022

In this article, an intelligent system utilizing type-3 fuzzy logic for automated image quality tuning in televisions is presented. The tuning problem can be formulated as controlling the television imaging system to achieve the requirements of produ...

(This article belongs to the Special Issue 10th Anniversary of Axioms: Logic)
  • Article
  • Open Access
44 Citations
15,111 Views
36 Pages

Foundations of Inference

  • Kevin H. Knuth and
  • John Skilling

15 June 2012

We present a simple and clear foundation for finite inference that unites and significantly extends the approaches of Kolmogorov and Cox. Our approach is based on quantifying lattices of logical statements in a way that satisfies general lattice symm...

(This article belongs to the Special Issue Axioms: Feature Papers)
  • Article
  • Open Access
50 Citations
14,664 Views
16 Pages

17 June 2017

Strong coupling between values at different times that exhibit properties of long range dependence, non-stationary, spiky signals cannot be processed by the conventional time series analysis. The autoregressive fractional integral moving average (ARF...

(This article belongs to the Special Issue Special Functions: Fractional Calculus and the Pathway for Entropy Dedicated to Professor Dr. A.M. Mathai on the occasion of his 80th Birthday)
  • Article
  • Open Access
3 Citations
14,384 Views
24 Pages

7 January 2025

This paper introduces a mathematical framework for defining and quantifying self-identity in artificial intelligence (AI) systems, addressing a critical gap in the theoretical foundations of artificial consciousness. While existing approaches to arti...

(This article belongs to the Special Issue Advances in Mathematical Modeling and Related Topics)
  • Article
  • Open Access
10 Citations
13,053 Views
22 Pages

20 December 2023

An essential aspect of healthcare is receiving an appropriate and opportune disease diagnosis. In recent years, there has been enormous progress in combining artificial intelligence to help professionals perform these tasks. The design of interval Ty...

(This article belongs to the Special Issue Advances in Mathematical Optimization Algorithms and Its Applications)
  • Article
  • Open Access
43 Citations
12,890 Views
24 Pages

Selection of Cold Chain Logistics Service Providers Based on a Grey AHP and Grey COPRAS Framework: A Case Study in Vietnam

  • Ngoc-Ai-Thy Nguyen,
  • Chia-Nan Wang,
  • Le-Thanh-Hieu Dang,
  • Le-Thanh-Tuyen Dang and
  • Thanh-Tuan Dang

27 March 2022

Choosing the most suitable cold chain logistics service providers (CLPs) is a vital strategic decision for businesses aiming to achieve an effective and sustainable cold supply chain. A sustainable CLP is one that integrates sustainable practices acr...

(This article belongs to the Special Issue Multiple-Criteria Decision-Making and Computational Intelligence: Recent Applications)
  • Article
  • Open Access
18 Citations
12,533 Views
43 Pages

Evaluation of Digital Banking Implementation Indicators and Models in the Context of Industry 4.0: A Fuzzy Group MCDM Approach

  • Maghsoud Amiri,
  • Mohammad Hashemi-Tabatabaei,
  • Mehdi Keshavarz-Ghorabaee,
  • Jurgita Antucheviciene and ,
  • Jonas Šaparauskas and
  • Mohsen Keramatpanah
  • + 1 author+ 0 author

25 May 2023

Modern technologies have changed human life and created a generation of customers who have different needs compared to the past. Considering Industry 4.0 and its drivers, the implementation of digital banking (DB) has faced various challenges that ar...

(This article belongs to the Special Issue Multiple-Criteria Decision-Making and Computational Intelligence: Recent Applications II)
  • Review
  • Open Access
5 Citations
12,321 Views
59 Pages

10 March 2025

In this survey, we provide an overview of category theory-derived machine learning from four mainstream perspectives: gradient-based learning, probability-based learning, invariance and equivalence-based learning, and topos-based learning. For the fi...

  • Communication
  • Open Access
23 Citations
12,187 Views
5 Pages

26 April 2012

The Yang-Baxter equation first appeared in theoretical physics, in a paper by the Nobel laureate C. N. Yang, and in statistical mechanics, in R. J. Baxter’s work. Later, it turned out that this equation plays a crucial role in: quantum groups, knot t...

(This article belongs to the Special Issue Axioms: Feature Papers)
  • Article
  • Open Access
6 Citations
12,184 Views
16 Pages

19 May 2020

Aristotle’s syllogistic is the first ever deductive system. After centuries, Aristotle’s ideas are still interesting for logicians who develop Aristotle’s work and draw inspiration from his results and even more from his methods. In...

(This article belongs to the Special Issue Deductive Systems in Traditional and Modern Logic)
  • Review
  • Open Access
14 Citations
12,116 Views
21 Pages

Business Decision-Making Using Geospatial Data: A Research Framework and Literature Review

  • Michael A. Erskine,
  • Dawn G. Gregg,
  • Jahangir Karimi and
  • Judy E. Scott

23 December 2013

Organizations that leverage their increasing volume of geospatial data have the potential to enhance their strategic and organizational decisions. However, literature describing the best techniques to make decisions using geospatial data and the best...

(This article belongs to the Special Issue Axioms of Decision Support System)
  • Article
  • Open Access
20 Citations
11,043 Views
29 Pages

Positive-Operator Valued Measure (POVM) Quantization

  • Jean Pierre Gazeau and
  • Barbara Heller

25 December 2014

We present a general formalism for giving a measure space paired with a separable Hilbert space a quantum version based on a normalized positive operator-valued measure. The latter are built from families of density operators labeled by points of the...

(This article belongs to the Special Issue Quantum Statistical Inference)
  • Article
  • Open Access
72 Citations
10,999 Views
20 Pages

11 June 2014

This paper outlines and qualitatively compares the implementations of seven different methods for solving Poisson’s equation on the disk. The methods include two classical finite elements, a cotan formula-based discrete differential geometry approach...

(This article belongs to the Special Issue Discrete Differential Geometry and Its Applications to Imaging and Graphics)
  • Article
  • Open Access
99 Citations
10,934 Views
13 Pages

3 April 2021

Logistics is an important service sector, contributing to improving the competitiveness of the economy. Therefore, along with increasing the application of technology and effective business models, it is necessary to increase the connectivity of the...

(This article belongs to the Special Issue Multiple-Criteria Decision Making)
  • Article
  • Open Access
9 Citations
10,917 Views
13 Pages

30 March 2023

This paper proposes a three-year average of social attention as a more reliable measure of the social impact of journals since the social attention of research can vary widely among scientific articles, even within the same journal. The proposed meas...

(This article belongs to the Special Issue Applied Mathematics and Information Sciences)
  • Article
  • Open Access
10,858 Views
21 Pages

Diffeomorphism Spline

  • Wei Zeng,
  • Muhammad Razib and
  • Abdur Bin Shahid

10 April 2015

Conventional splines offer powerful means for modeling surfaces and volumes in three-dimensional Euclidean space. A one-dimensional quaternion spline has been applied for animation purpose, where the splines are defined to model a one-dimensional sub...

  • Article
  • Open Access
40 Citations
10,854 Views
12 Pages

10 November 2016

We present a viable geometric solution for the detection of dynamic effects in complex networks. Building on Forman’s discretization of the classical notion of Ricci curvature, we introduce a novel geometric method to characterize different types of...

(This article belongs to the Special Issue Discrete Geometry and its Applications)
  • Review
  • Open Access
  • Best Paper Award
14 Citations
10,742 Views
16 Pages

26 June 2024

Monogenity is a classical area of algebraic number theory that continues to be actively researched. This paper collects the results obtained over the past few years in this area. Several of the listed results were presented at a series of online conf...

(This article belongs to the Special Issue Advances in Generalized Hypergeometric Functions, Integral Transforms and Number Theory)
  • Article
  • Open Access
12 Citations
10,671 Views
19 Pages

23 December 2022

As China’s economy and the U.S. economy have shown a definite interaction, there is considerable interest in studying the correlation between the Chinese stock market and the US financial markets. This paper uses an Asymmetric Dynamic Condition...

(This article belongs to the Section Mathematical Analysis)
  • Article
  • Open Access
23 Citations
10,617 Views
14 Pages

Comparison of the Sub-Tour Elimination Methods for the Asymmetric Traveling Salesman Problem Applying the SECA Method

  • Ramin Bazrafshan,
  • Sarfaraz Hashemkhani Zolfani and
  • S. Mohammad J. Mirzapour Al-e-hashem

8 February 2021

There are many sub-tour elimination constraint (SEC) formulations for the traveling salesman problem (TSP). Among the different methods found in articles, usually three apply more than others. This study examines the Danzig–Fulkerson–Johnson (DFJ), M...

(This article belongs to the Special Issue Multiple-Criteria Decision Making)
  • Article
  • Open Access
100 Citations
10,569 Views
12 Pages

Conformable Laplace Transform of Fractional Differential Equations

  • Fernando S. Silva,
  • Davidson M. Moreira and
  • Marcelo A. Moret

7 August 2018

In this paper, we use the conformable fractional derivative to discuss some fractional linear differential equations with constant coefficients. By applying some similar arguments to the theory of ordinary differential equations, we establish a suffi...

(This article belongs to the Special Issue Fractional Differential Equations)
  • Article
  • Open Access
57 Citations
10,567 Views
17 Pages

26 August 2022

The multi-label customer reviews classification task aims to identify the different thoughts of customers about the product they are purchasing. Due to the impact of the COVID-19 pandemic, customers have become more prone to shopping online. As a con...

(This article belongs to the Special Issue Machine Learning: Theory, Algorithms and Applications)
  • Article
  • Open Access
80 Citations
10,447 Views
23 Pages

A Two-Stage Multi-Criteria Supplier Selection Model for Sustainable Automotive Supply Chain under Uncertainty

  • Thanh-Tuan Dang,
  • Ngoc-Ai-Thy Nguyen,
  • Van-Thanh-Tien Nguyen and
  • Le-Thanh-Hieu Dang

13 May 2022

Sustainable supplier selection (SSS) is gaining popularity as a practical method to supply chain sustainability among academics and practitioners. However, in addition to balancing economic, social, and environmental factors, the emergence of the COV...

(This article belongs to the Special Issue Soft Computing with Applications to Decision Making and Data Mining)
  • Article
  • Open Access
20 Citations
10,307 Views
23 Pages

21 June 2022

The T-spherical fuzzy set (TSFS) is a modification of the fuzzy set (FS), intuitionistic fuzzy set (IFS), Pythagorean fuzzy set (PyFS), q-rung orthopair fuzzy set (q-ROFS), and picture fuzzy set (PFS), with three characteristic functions: the members...

(This article belongs to the Special Issue Soft Computing with Applications to Decision Making and Data Mining)
  • Article
  • Open Access
33 Citations
10,293 Views
13 Pages

Experimental Study of Void Fraction Measurement Using a Capacitance-Based Sensor and ANN in Two-Phase Annular Regimes for Different Fluids

  • Aryan Veisi,
  • Mohammad Hossein Shahsavari,
  • Gholam Hossein Roshani,
  • Ehsan Eftekhari-Zadeh and
  • Ehsan Nazemi

7 January 2023

One of the most severe problems in power plants, petroleum and petrochemical industries is the accurate determination of phase fractions in two-phase flows. In this paper, we carried out experimental investigations to validate the simulations for wat...

(This article belongs to the Special Issue Computational and Experimental Fluid Dynamics)
  • Article
  • Open Access
1 Citations
10,167 Views
31 Pages

7 March 2023

While Luria and Delbrück’s seminal work has found its way to some college biology textbooks, it is now largely absent from those in mathematics. This is a significant omission, and we consider it a missed opportunity to present a celebrate...

(This article belongs to the Special Issue Mathematics, Statistics, and Computation Inspired by the Fluctuation Test: In Celebration of the 80th Anniversary of the Luria-Delbrück Experiment)
  • Article
  • Open Access
2 Citations
10,138 Views
15 Pages

1 June 2023

This article focuses on solving the order quantity allocation problem for retailers. It considers factors such as quality constraints, nonlinear quantity discounts, and price-dependent demand. By formulating it as a nonlinear maximization problem, th...

(This article belongs to the Special Issue Applied Mathematical Modeling and Optimization)
  • Article
  • Open Access
15 Citations
10,057 Views
17 Pages

1 September 2022

Cryptocurrencies are highly volatile investment assets and are difficult to predict. In this study, various cryptocurrency data are used as features to predict the log-return price of major cryptocurrencies. The original contribution of this study is...

(This article belongs to the Special Issue Statistical Methods and Applications)
  • Article
  • Open Access
20 Citations
10,019 Views
17 Pages

26 February 2022

The ongoing COVID-19 pandemic has caused a paradigm shift in all aspects of contemporary human life. Everyday activities such as shopping have shifted from traditional methods to the ever-more growing online variants, allowing for an increase in elec...

(This article belongs to the Special Issue Mathematical Fuzzy Logic in the Emerging Fields of Engineering, Finance, and Computer Sciences)
  • Article
  • Open Access
12 Citations
10,009 Views
15 Pages

Harrod–Domar Growth Model with Memory and Distributed Lag

  • Vasily E. Tarasov and
  • Valentina V. Tarasova

15 January 2019

In this paper, we propose a macroeconomic growth model, in which we take into account memory with power-law fading and gamma distributed lag. This model is a generalization of the standard Harrod–Domar growth model. Fractional differential equa...

(This article belongs to the Special Issue Fractional Differential Equations)
  • Article
  • Open Access
53 Citations
9,744 Views
20 Pages

EEG-Based Person Identification and Authentication Using Deep Convolutional Neural Network

  • Walaa Alsumari,
  • Muhammad Hussain,
  • Laila Alshehri and
  • Hatim A. Aboalsamh

11 January 2023

Using biometric modalities for person recognition is crucial to guard against impostor attacks. Commonly used biometric modalities, such as fingerprint scanners and facial recognition, are effective but can easily be tampered with and deceived. These...

(This article belongs to the Section Mathematical Analysis)
  • Article
  • Open Access
13 Citations
9,738 Views
29 Pages

Tax Fraud Reduction Using Analytics in an East European Country

  • Tomas Ruzgas,
  • Laura Kižauskienė,
  • Mantas Lukauskas,
  • Egidijus Sinkevičius and ,
  • Melita Frolovaitė and
  • Jurgita Arnastauskaitė
  • + 1 author+ 0 author

9 March 2023

Tax authorities face the challenge of effectively identifying companies that avoid paying taxes, which is not unique to European Union countries. Limited resources often constrain tax administrators, who traditionally rely on time-consuming and labou...

(This article belongs to the Special Issue Methods and Applications of Advanced Statistical Analysis)
  • Article
  • Open Access
43 Citations
9,732 Views
14 Pages

RainPredRNN: A New Approach for Precipitation Nowcasting with Weather Radar Echo Images Based on Deep Learning

  • Do Ngoc Tuyen,
  • Tran Manh Tuan,
  • Xuan-Hien Le,
  • Nguyen Thanh Tung and ,
  • Tran Kim Chau,
  • Pham Van Hai,
  • Vassilis C. Gerogiannis and
  • Le Hoang Son
  • + 3 authors+ 0 author

28 February 2022

Precipitation nowcasting is one of the main tasks of weather forecasting that aims to predict rainfall events accurately, even in low-rainfall regions. It has been observed that few studies have been devoted to predicting future radar echo images in...

(This article belongs to the Special Issue Various Deep Learning Algorithms in Computational Intelligence)
  • Article
  • Open Access
6 Citations
9,725 Views
28 Pages

30 May 2023

Stock price prediction is a significant area of research in finance that has been ongoing for a long time. Several mathematical models have been utilized in this field to predict stock prices. However, recently, machine learning techniques have demon...

(This article belongs to the Special Issue Mathematical and Computational Finance Analysis)
  • Article
  • Open Access
26 Citations
9,565 Views
46 Pages

8 November 2023

Phasor Measurement Units (PMUs) are the backbone of smart grids that are able to measure power system observability in real-time. The deployment of synchronized sensors in power networks opens up the advantage of real-time monitoring of the network s...

(This article belongs to the Special Issue Applied Optimization for Solving Real-World Problems)
  • Article
  • Open Access
39 Citations
9,448 Views
20 Pages

27 February 2023

Time-optimal trajectory planning is one of the most important ways to improve work efficiency and reduce cost and plays an important role in practical application scenarios of robots. Therefore, it is necessary to optimize the running time of the tra...

(This article belongs to the Special Issue Applied Mathematical Modeling and Optimization)
  • Article
  • Open Access
4 Citations
9,389 Views
21 Pages

24 April 2023

This paper proposed a closed-form solution for the 2D transient heat conduction in a rectangular cross-section of an infinite bar with the general Dirichlet boundary conditions. The boundary conditions at the four edges of the rectangular region are...

(This article belongs to the Special Issue Applied Mathematics in Energy and Mechanical Engineering)
  • Article
  • Open Access
50 Citations
9,235 Views
13 Pages

26 May 2022

In this work, we present an approach for fuzzy aggregation of neural networks for forecasting. The interval type-3 aggregator is used to combine the outputs of the networks to improve the quality of the prediction. This is carried out in such a way t...

(This article belongs to the Special Issue Mathematical Fuzzy Logic in the Emerging Fields of Engineering, Finance, and Computer Sciences)
  • Article
  • Open Access
14 Citations
9,222 Views
15 Pages

Deep Reinforcement Learning Agent for S&P 500 Stock Selection

  • Tommi Huotari,
  • Jyrki Savolainen and
  • Mikael Collan

10 November 2020

This study investigated the performance of a trading agent based on a convolutional neural network model in portfolio management. The results showed that with real-world data the agent could produce relevant trading results, while the agent’s b...

(This article belongs to the Special Issue Soft Computing in Economics, Finance and Management)
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Axioms - ISSN 2075-1680