New Trends in Fuzzy Sets Theory and Their Extensions, 2nd Edition

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Fuzzy Sets, Systems and Decision Making".

Deadline for manuscript submissions: 30 June 2024 | Viewed by 958

Special Issue Editors


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Department of Engineering Management, School of Civil Engineering, Wuhan University, Wuhan 430072, China
Interests: engineering management; decision support; computational semantics analysis; group decision making; computing with words
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Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB T6G 2E1, Canada
Interests: fuzzy set theory; pattern clustering; learning (artificial intelligence); decision making; granular
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Department of Computer Science, University of Jaén, 23071 Jaén, Spain
Interests: linguistic preference modelling; fuzzy decision making; decision support system; computing with words
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Special Issue Information

Dear Colleagues, 

Fuzzy sets theory, since its inception in 1965, has received extensive attention from academia and practitioners and has led to significant advancements in a number scientific fields. As a novel conceptual framework employed to facilitate the characterization of human-centric systems, fuzzy sets theory has proven to be an efficient and powerful tool in modelling human centricity features in intelligent systems; this has led to advancements in computational intelligence in many domains, such as data mining, data analytics, image understanding and interpretation, recommender systems, explainable artificial intelligence (XAI), etc.

Computing using fuzzy sets has been a pivotal task when it comes to the theoretical development of fuzzy sets theory, and granular computing has offered processing principles that open new frontiers with which to address the theory. This has been well elaborated in Prof. Witold Pedrycz’s recently published monograph entitled “An Introduction to Computing with Fuzzy Sets: Analysis, Design, and Applications”. The goal of this Special Issue is to further explore new trends in the application of fuzzy sets theory in emerging research fields of computational intelligence, and new frontiers that promote a broad and up-to-date understanding of fuzzy-sets-theory-based extensions and applications. The entire academic community has witnessed the gradual paradigm shift in fuzzy sets theory in both its theoretical and methodological aspects, as well as its applications in a variety of disciplines of science and engineering.

The Special Issue welcomes original contributions that advance state-of-the-art fuzzy-sets-theory-based concepts, methodologies, algorithms and applications in several emerging and related topics. This Special Issue will be particularly dedicated to the following research topics: a) new fuzzy representation models, b) fuzzy machine learning, c) granular fuzzy models, d) data-driven fuzzy modeling, e) fuzzy information fusion and aggregation functions, f) fuzzy logic, and g) fuzzy-set-theory-based applications in science and engineering.

Dr. Zhen-Song Chen
Prof. Dr. Witold Pedrycz
Dr. Rosa M. Rodriguez
Prof. Dr. Luis Martínez López
Dr. Lesheng Jin
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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 rules and reasoning
  • fuzzy set operations
  • fuzzy measures
  • fuzzy logic
  • fuzzy relations and relational computing
  • information granules and granular computing
  • fuzzy-based linguistic approximation
  • fuzzy set transformation and fuzzy arithmetic
  • higher type, higher order fuzzy sets and hybrid fuzzy sets
  • fuzzy partitions
  • fuzzy information fusion
  • fuzzy neurocomputing
  • granular fuzzy models
  • explainable artificial intelligence (XAI)
  • fuzzy-based data mining
  • elicitation of membership functions
  • fuzzy decision theory
  • fuzzy control systems
  • fuzzy decision making
  • fuzzy-sets-theory-based applications

Published Papers (1 paper)

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Research

25 pages, 535 KiB  
Article
A Comprehensive Study on Advancement in Hybrid Contraction and Graphical Analysis of £-Fuzzy Fixed Points with Application
by Maliha Rashid, Akbar Azam, Fatima Dar, Faryad Ali and Mohammed A. Al-Kadhi
Mathematics 2023, 11(21), 4489; https://doi.org/10.3390/math11214489 - 30 Oct 2023
Viewed by 657
Abstract
Hybrid contractions serve as a flexible and versatile framework for establishing fixed-point Theorems and analyzing the convergence of iterative algorithms. This paper demonstrates the adapted form of the admissible hybrid fuzzy Z-contraction in the perspective of £-fuzzy set-valued maps for extended [...] Read more.
Hybrid contractions serve as a flexible and versatile framework for establishing fixed-point Theorems and analyzing the convergence of iterative algorithms. This paper demonstrates the adapted form of the admissible hybrid fuzzy Z-contraction in the perspective of £-fuzzy set-valued maps for extended ♭-metric spaces. Sufficient criteria for obtaining £-fuzzy fixed points for this contraction have been established. In addition, the hypotheses of its main result are endorsed by some nontrivial supportive examples featuring graphical illustrations. Consequently, the concept of graphical extended ♭-metric spaces is introduced and a £-fuzzy fixed point result in the context of newly defined space is derived. Illustrative examples, incorporating relevant graphs, are provided with the support of a computer simulation to validate the established results, enhancing the understanding of the underlying notions and investigations. The concepts presented here not only considerably improve, enrich, and extend a number of well-known pre-existing fixed-point results but also assemble and merge several ones in the corresponding domain. Full article
(This article belongs to the Special Issue New Trends in Fuzzy Sets Theory and Their Extensions, 2nd Edition)
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