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Axioms
Special Issues
Fuzzy Systems, Fuzzy Decision Making, and Fuzzy Mathematics
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Fuzzy Systems, Fuzzy Decision Making, and Fuzzy Mathematics

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

Deadline for manuscript submissions: closed (29 October 2024) | Viewed by 1447

Special Issue Editors

Dr. Carlos Bejines

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Guest Editor
Departamento de Matemática Aplicada, Universidad de Málaga, Andalucía Tech, 29071 Málaga, Spain
Interests: fuzzy logic
Prof. Dr. Radko Mesiar

E-Mail Website
Guest Editor
Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry, Slovak University of Technology in Bratislava, Radlinského 11, 810 05 Bratislava, Slovakia
Interests: aggregation operators and related operators; triangular norms; copulas; fuzzy sets and fuzzy logic; uncertainty modeling; measure theory; intelligent computing
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The present Special Issue of the journal Axioms is dedicated to exploring recent advances in the field of fuzzy systems, fuzzy decision making, and fuzzy mathematics. Fuzzy systems have emerged as a powerful framework for modeling and handling uncertainty in various domains, ranging from engineering to artificial intelligence and economics. This Special Issue aims to bring together innovative research addressing both the theoretical foundations and practical applications of fuzzy systems and their related areas.

Topics of interest include, but are not limited to, the following:

  1. Development of advanced algorithms and methods in fuzzy systems.
  2. Aggregation operators.
  3. Fuzzy mathematical modeling for real-world problem solving.
  4. Fuzzy decision-making techniques and their application in diverse contexts
  5. Fuzzy set theory.

Researchers are invited to contribute original articles addressing these topics from either a theoretical or applied perspective. Particularly encouraged are submissions that explore new directions in the field and promote the advancement of knowledge in fuzzy systems and related disciplines.

We hope that this Special Issue will provide a valuable platform for the exchange of ideas and the advancement of the state of the art in the field of fuzzy systems, fuzzy decision making, and fuzzy mathematics.

Dr. Carlos Bejines
Prof. Dr. Radko Mesiar
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

  • fuzzy set theory
  • decision making
  • fuzzy algorithms
  • fuzzy optimization
  • aggregation operators

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Published Papers (2 papers)

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23 pages, 3820 KiB  
Article
Semi-Overlap Functions on Complete Lattices, Semi-Θ-Ξ Functions, and Inflationary MTL Algebras
by Xingna Zhang, Eunsuk Yang and Xiaohong Zhang
Axioms 2024, 13(11), 799; https://doi.org/10.3390/axioms13110799 - 18 Nov 2024
Viewed by 414
Abstract
As new kinds of aggregation functions, overlap functions and semi overlap functions are widely applied to information fusion, approximation reasoning, data classification, decision science, etc. This paper extends the semi-overlap function on [0, 1] to the function on complete lattices and investigates the [...] Read more.
As new kinds of aggregation functions, overlap functions and semi overlap functions are widely applied to information fusion, approximation reasoning, data classification, decision science, etc. This paper extends the semi-overlap function on [0, 1] to the function on complete lattices and investigates the residual implication derived from it; then it explores the construction of a semi-overlap function on complete lattices and some fundamental properties. Especially, this paper introduces a more generalized concept of the ‘semi-Θ-Ξ function’, which innovatively unifies the semi-overlap function and semi-grouping function. Additionally, it provides methods for constructing and characterizing the semi-Θ-Ξ function. Furthermore, this paper characterizes the semi-overlap function on complete lattices and the semi-Θ-Ξ function on [0, 1] from an algebraic point of view and proves that the algebraic structures corresponding to the inflationary semi-overlap function, the inflationary semi-Θ-Ξ function, and residual implications derived by each of them are inflationary MTL algebras. This paper further discusses the properties of inflationary MTL algebra and its relationship with non-associative MTL algebra, and it explores the connections between some related algebraic structures. Full article
(This article belongs to the Special Issue Fuzzy Systems, Fuzzy Decision Making, and Fuzzy Mathematics)
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38 pages, 2282 KiB  
Article
Fermatean Probabilistic Hesitant Fuzzy Power Bonferroni Aggregation Operators with Dual Probabilistic Information and Their Application in Green Supplier Selection
by Chuanyang Ruan and Lin Yan
Axioms 2024, 13(9), 602; https://doi.org/10.3390/axioms13090602 - 4 Sep 2024
Viewed by 657
Abstract
In the realm of management decision-making, the selection of green suppliers has long been a complex issue. Companies must take a holistic approach, evaluating potential suppliers based on their capabilities, economic viability, and environmental impact. The decision-making process, fraught with intricacies and uncertainties, [...] Read more.
In the realm of management decision-making, the selection of green suppliers has long been a complex issue. Companies must take a holistic approach, evaluating potential suppliers based on their capabilities, economic viability, and environmental impact. The decision-making process, fraught with intricacies and uncertainties, urgently demands the development of a scientifically sound and efficient method for guidance. Since the concept of Fermatean fuzzy sets (FFSs) was proposed, it has been proved to be an effective tool for solving multi-attribute decision-making (MADM) problems in complicated realistic situations. And the Power Bonferroni mean (PBM) operator, combining the strengths of the power average (PA) and Bonferroni mean (BM), excels in considering attribute interactions for a thorough evaluation. To ensure a comprehensive and sufficient evaluation framework for supplier selection, this paper introduces innovative aggregation operators that extend the PBM and integrate probabilistic information into Fermatean hesitant fuzzy sets (FHFSs) and Fermatean probabilistic hesitant fuzzy sets (FPHFSs). It successively proposes the Fermatean hesitant fuzzy power Bonferroni mean (FHFPBM), Fermatean hesitant fuzzy weighted power Bonferroni mean (FHFWPBM), and Fermatean hesitant fuzzy probabilistic weighted power Bonferroni mean (FHFPWPBM) operators, examining their key properties like idempotency, boundedness, and permutation invariance. By further integrating PBM with probabilistic information into FPHFSs, three new Fermatean probabilistic hesitant fuzzy power Bonferroni aggregation operators are developed: the Fermatean probabilistic hesitant fuzzy power Bonferroni mean (FPHFPBM), Fermatean probabilistic hesitant fuzzy weighted power Bonferroni mean (FPHFWPBM), and Fermatean probabilistic hesitant fuzzy probabilistic weighted power Bonferroni mean (FPHFPWPBM). Subsequently, a MADM method based on these operators is constructed. Finally, a numerical example concerning the selection of green suppliers is presented to demonstrate the applicability and effectiveness of this method using the FPHFPWPBM operator. Full article
(This article belongs to the Special Issue Fuzzy Systems, Fuzzy Decision Making, and Fuzzy Mathematics)
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