Editorial Board Members’ Collection Series: Fuzzy Modeling, Optimization and Computational Intelligence

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Logic".

Deadline for manuscript submissions: 31 May 2024 | Viewed by 7583

Special Issue Editors


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Guest Editor
Department of Statistics and Operational Research, University of Cadiz, Cádiz, Spain
Interests: optimization methods under uncertainty; interval and fuzzy numbers; multi-objective programming; generalized convexity
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
School of Technology and Innovations, University of Vaasa, Wolffintie 34, FI-65200 Vaasa, Finland
Interests: computational intelligence; fuzzy sets; industry 4.0; transfer learning anomaly detection
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
Faculty of Applied Management, Economics and Finance in Belgrade, University Business Academy in Novi Sad, Jevrejska 24, 11000 Belgrade, Serbia
Interests: multiple-criteria decision-making (MCDM); decision support systems (DSS); computational intelligence; decision-making theory; informatics; management
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

In many processes, such as in industry, engineering and the social sciences, it is not always possible to obtain full information about the data, parameters and variables involved in order to make decisions. The use of intervals and fuzzy sets is suitable to address this issue.

The aim of this Special Issue is to promote and contribute new models and methods to provide optimal or efficient solutions in some sense, under interval and fuzzy uncertainty, with applications in the real world.

Prof. Dr. Manuel Arana-Jimenez
Dr. Amit K. Shukla
Prof. Dr. Darjan Karabašević
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • modelling of processes under interval or fuzzy uncertainty
  • applications to sectors, such as industry, engineering, tourism, healthcare, data science, big data, economy, finance, etc.
  • efficiency in optimization under interval or fuzzy uncertainty
  • computational methods in mathematical programming under uncertainty
  • discussions and reviews in interval and fuzzy arithmetic
  • discussions on orders in intervals or fuzzy sets
  • interval and fuzzy linear and non-linear programming problems and algorithms
  • multi-objective mathematical programming under interval or fuzzy uncertainty
  • global optimization with fuzzy-valued objective
  • generalized derivative and differentiability of interval and fuzzy-valued functions and applications
  • optimality conditions to problems with intervals or fuzzy numbers
  • control and variational problems with interval or fuzzy parameters or variables
  • fuzzy differential equations—theory, numerical solution, algorithms, and applications
  • decision theory and methods
  • fuzzy MCDM methods
  • group decision-making in fuzzy environment
  • computational intelligence
  • fuzzy logic for explainable AI

Published Papers (7 papers)

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Research

26 pages, 343 KiB  
Article
Using Genetic Algorithms and Core Values of Cooperative Games to Solve Fuzzy Multiobjective Optimization Problems
by Hsien-Chung Wu
Axioms 2024, 13(5), 298; https://doi.org/10.3390/axioms13050298 - 29 Apr 2024
Viewed by 375
Abstract
A new methodology for solving the fuzzy multiobjective optimization problems is proposed in this paper by considering the fusion of cooperative game theory and genetic algorithm. The original fuzzy multiobjective optimization problem needs to be transformed into a scalar optimization problem, which is [...] Read more.
A new methodology for solving the fuzzy multiobjective optimization problems is proposed in this paper by considering the fusion of cooperative game theory and genetic algorithm. The original fuzzy multiobjective optimization problem needs to be transformed into a scalar optimization problem, which is a conventional optimization problem. Usually, the assignments of suitable coefficients to the corresponding scalar optimization problem are subjectively determined by the decision makers. However, these assignments may cause some biases by their subjectivity. Therefore, this paper proposes a mechanical procedure to avoid this subjective biases. We are going to formulate a cooperative game using the α-level functions of the multiple fuzzy objective functions. Under this setting, the suitable coefficients can be determined mechanically by involving the core values of the cooperative game, which is formulated using the multiple fuzzy objective functions. We shall prove that the optimal solutions of the transformed scalar optimization problem are indeed the nondominated solutions of fuzzy multiobjective optimization problem. Since the core-nondominated solutions will depend on the coefficients that are determined by the core values of cooperative game, there will be a lot of core-nondominated solutions that will also depend on the corresponding coefficients. In order to obtain the best core-nondominated solution, we shall invoke the genetic algorithms by evolving the coefficients. Full article
18 pages, 1346 KiB  
Article
Probabilistic Interval Ordering Prioritized Averaging Operator and Its Application in Bank Investment Decision Making
by Chuanyang Ruan, Shicheng Gong and Xiangjing Chen
Axioms 2023, 12(11), 1007; https://doi.org/10.3390/axioms12111007 - 26 Oct 2023
Viewed by 843
Abstract
Probabilistic interval ordering, as a helpful tool for expressing positive and negative information, can effectively address multi-attribute decision-making (MADM) problems in reality. However, when dealing with a significant number of decision-makers and decision attributes, the priority relationships between different attributes and their relative [...] Read more.
Probabilistic interval ordering, as a helpful tool for expressing positive and negative information, can effectively address multi-attribute decision-making (MADM) problems in reality. However, when dealing with a significant number of decision-makers and decision attributes, the priority relationships between different attributes and their relative importance are often neglected, resulting in deviations in decision outcomes. Therefore, this paper combines probability interval ordering, the prioritized aggregation (PA) operator, and the Gauss–Legendre algorithm to address the MADM problem with prioritized attributes. First, considering the significance of interval priority ordering and the distribution characteristics of attribute priority, the paper introduces probability interval ordering elements that incorporate attribute priority, and it proposes the probabilistic interval ordering prioritized averaging (PIOPA) operator. Then, the probabilistic interval ordering Gauss–Legendre prioritized averaging operator (PIOGPA) is defined based on the Gauss–Legendre algorithm, and various excellent properties of this operator are explored. This operator considers the priority relationships between attributes and their importance level, making it more capable of handling uncertainty. Finally, a new MADM method is constructed based on the PIOGPA operator using probability intervals and employs the arithmetic–geometric mean (AGM) algorithm to compute the weight of each attribute. The feasibility and soundness of the proposed method are confirmed through a numerical example and comparative analysis. The MADM method introduced in this paper assigns higher weights to higher-priority attributes to establish fixed attribute weights, and it reduces the impact of other attributes on decision-making results. It also utilizes the Gauss AGM algorithm to streamline the computational complexity and enhance the decision-making effectiveness. Full article
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23 pages, 2036 KiB  
Article
A Supplier Selection Decision-Making Approach for Complex Product Development Based on Hesitant Fuzzy Information
by Baodong Li, Jiafu Su, Boqiao Yuan, Lvcheng Li, Yihuan Zhao, Zhidan Qin and Li Qian
Axioms 2023, 12(11), 1006; https://doi.org/10.3390/axioms12111006 - 25 Oct 2023
Viewed by 1034
Abstract
During the development process of complex products, selecting the best desirable alternative supplier is a challenge since an improperly selected alternative may cause losing capacity and increasing the cycle time and cost of development for a company. For this multiple-attribute decision-making problem of [...] Read more.
During the development process of complex products, selecting the best desirable alternative supplier is a challenge since an improperly selected alternative may cause losing capacity and increasing the cycle time and cost of development for a company. For this multiple-attribute decision-making problem of supplier selection, in this paper, a supplier selection problem in which the decision data are hesitant fuzzy information and the attribute weight is unknown in complex product development is investigated, and a supplier selection decision-making approach based on hesitant fuzzy information is proposed. Firstly, a bidirectional projection based on hesitant fuzzy information is established, and then the measurement equation for the degree of closeness is improved. Further, an attribute weight determination model which minimizes the projection total deviation for the hesitant fuzzy elements is constructed. By solving this model, scientific and reasonable attribute weights are provided. Subsequently, an illustrative example is employed to not only give the ranking result of alternative suppliers but also demonstrate the validity and feasibility of the developed approach. Meanwhile, sensitivity analysis and comparative analysis are put forward to illustrate the stability of the given final ranking result and the advantages and reliability of the constructed method. For alternative or strategy selection, this proposed approach can be used as a decision-making means when uncertainties are inherent. Full article
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21 pages, 1564 KiB  
Article
Enhancing Contractor Selection Process by a New Interval-Valued Fuzzy Decision-Making Model Based on SWARA and CoCoSo Methods
by Sajjad Karami, Seyed Meysam Mousavi and Jurgita Antucheviciene
Axioms 2023, 12(8), 729; https://doi.org/10.3390/axioms12080729 - 27 Jul 2023
Cited by 3 | Viewed by 904
Abstract
Contractor selection is a crucial aspect of construction projects, with a significant impact on project success. However, traditional methods may not effectively handle the complexities and uncertainties involved in decision-making. To address this, advanced techniques like Multi-Criteria Decision-Making (MCDM) have been developed. In [...] Read more.
Contractor selection is a crucial aspect of construction projects, with a significant impact on project success. However, traditional methods may not effectively handle the complexities and uncertainties involved in decision-making. To address this, advanced techniques like Multi-Criteria Decision-Making (MCDM) have been developed. In this study, we propose a new approach based on two uncertain methods, Interval-Valued Fuzzy Step-Wise Weight Assessment Ratio Analysis (IVF-SWARA) and Interval-Valued Fuzzy Combined Compromise Solution (IVF-CoCoSo), for contractor selection in construction projects. These methods use interval-valued fuzzy numbers (IVFNs) to handle decision-making under uncertainty and imprecision. By leveraging the benefits of IVFNs, the proposed methods enhance accuracy and flexibility, enabling more informed and reliable decisions. An application example illustrates the effectiveness of the methods, and sensitivity analysis examines how varying criteria weights affect contractor rankings. The study concludes that the IVF-SWARA and IVF-CoCoSo methods assist decision-makers in selecting suitable contractors and achieving project success. These methods provide a robust framework to navigate complexities and uncertainties, leading to improved decision-making in contractor selection for construction projects. Full article
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16 pages, 583 KiB  
Article
Selection of a Forklift for a Cargo Company with Fuzzy BWM and Fuzzy MCRAT Methods
by Alptekin Ulutaş, Ayse Topal, Darjan Karabasevic and Figen Balo
Axioms 2023, 12(5), 467; https://doi.org/10.3390/axioms12050467 - 12 May 2023
Cited by 4 | Viewed by 1207
Abstract
Material handling is a cost-intensive operation for businesses. There are several alternative types of equipment for material handling, therefore it is important to select the best one among them to decrease the cost. As there are several different alternatives and criteria which are [...] Read more.
Material handling is a cost-intensive operation for businesses. There are several alternative types of equipment for material handling, therefore it is important to select the best one among them to decrease the cost. As there are several different alternatives and criteria which are used to assess these alternatives, multi-criteria decision making (MCDM) techniques are useful to determine the optimal material handling equipment (MHE) for businesses. In this study, fuzzy BWM for determining weights of criteria and the fuzzy Multiple Criteria Ranking by Alternative Trace (MCRAT) method have been used for ranking forklift alternatives. This study’s significance in the literature will be the creation of a novel fuzzy MCDM technique with the application of fuzzy MCRAT. Furthermore, there are relatively few studies employing the MCRAT approach in the literature; therefore, this study will provide additional data and outcomes from this method to the literature. The findings present that the forklift with the code FLT-3 performed the best, whereas the forklift with the code FLT-2 had the worst performance, according to the fuzzy MCRAT technique. According to the comparison analysis, the fuzzy MCRAT produced the same results as the fuzzy ARAS and had a few subtle differences to fuzzy MARCOS. Full article
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14 pages, 1464 KiB  
Article
Statistical Fuzzy Reliability Assessment of a Blended System
by Aayushi Chachra, Akshay Kumar, Mangey Ram and Ioannis S. Triantafyllou
Axioms 2023, 12(5), 419; https://doi.org/10.3390/axioms12050419 - 25 Apr 2023
Cited by 3 | Viewed by 1248
Abstract
Fuzzy sets have been proven to constitute an asset in the evolution of reliability theory in recent decades. Their contribution in addressing the possibility of errors, insufficiency of data, randomness, or fuzziness, either in the system or in the accumulation of any data [...] Read more.
Fuzzy sets have been proven to constitute an asset in the evolution of reliability theory in recent decades. Their contribution in addressing the possibility of errors, insufficiency of data, randomness, or fuzziness, either in the system or in the accumulation of any data for the respective system, which is overlooked in the traditional reliability assessment, seems to be quite crucial. The present work deals with the statistical fuzzy reliability evaluation of a blended system that comprises two subsystems. One system contains two components aligned in a parallel configuration, and the other is a 3-out-of-5 system. The reliability of this model is assessed using two approaches to intuitionistic fuzzy sets (IFS), namely, traditional IFS and interval-valued intuitionistic fuzzy sets (IVIFS). Three cases are considered in each approach, which are compared individually as well as with each other. It was established that the IVIFS yield better results than the IFS. The obtained results are displayed in both tabular and graphical forms for better assessment. Full article
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19 pages, 928 KiB  
Article
Properties of Convex Fuzzy-Number-Valued Functions on Harmonic Convex Set in the Second Sense and Related Inequalities via Up and Down Fuzzy Relation
by Muhammad Bilal Khan, Željko Stević, Abdulwadoud A. Maash, Muhammad Aslam Noor and Mohamed S. Soliman
Axioms 2023, 12(4), 399; https://doi.org/10.3390/axioms12040399 - 20 Apr 2023
Viewed by 913
Abstract
In this paper, we provide different variants of the Hermite–Hadamard (HH) inequality using the concept of a new class of convex mappings, which is referred to as up and down harmonically s-convex fuzzy-number-valued functions (UDH [...] Read more.
In this paper, we provide different variants of the Hermite–Hadamard (HH) inequality using the concept of a new class of convex mappings, which is referred to as up and down harmonically s-convex fuzzy-number-valued functions (UDH s-convex FNVM) in the second sense based on the up and down fuzzy inclusion relation. The findings are confirmed with certain numerical calculations that take a few appropriate examples into account. The results deal with various integrals of the 2ρσρ+σ type and are innovative in the setting of up and down harmonically s-convex fuzzy-number-valued functions. Moreover, we acquire classical and new exceptional cases that can be seen as applications of our main outcomes. In our opinion, this will make a significant contribution to encouraging more research. Full article
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