Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
4.0
2.3
Journals
Mathematics
Special Issues
Fuzzy Convex Structures and Some Related Topics, 2nd Edition
share announcement

Fuzzy Convex Structures and Some Related Topics, 2nd Edition

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "D2: Operations Research and Fuzzy Decision Making".

Deadline for manuscript submissions: 30 June 2025 | Viewed by 1068

Special Issue Editors

Prof. Dr. Fu-Gui Shi

E-Mail Website
Guest Editor
School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 102488, China
Interests: fuzzy convex structures; fuzzy topology; fuzzy matroid; fuzzy algebra
Special Issues, Collections and Topics in MDPI journals
Dr. Bin Pang

E-Mail Website
Guest Editor
School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 102488, China
Interests: fuzzy convex structures; fuzzy topology; fuzzy convergence; fuzzy rough set
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Since Zadeh introduced the concept of fuzzy sets, fuzzy set theory has been applied to many research areas, including both theoretical and applied research. In this Special Issue, we will focus on the theory of fuzzy convex structures and related topics such as fuzzy set theory and theories that are related to convexity theory. From a theoretical standpoint, this Special Issue will cover fuzzy convex structures, fuzzy topological structures, fuzzy matroids and fuzzy algebra. From an applied standpoint, it will concentrate on fuzzy convex optimizations, fuzzy games, fuzzy data envelopes and fuzzy rough sets.

Prof. Dr. Fu-Gui Shi
Dr. Bin Pang
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 convex structures
  • fuzzy topology
  • fuzzy metric
  • fuzzy algebra
  • fuzzy order
  • fuzzy matroid
  • fuzzy game
  • fuzzy graphs
  • fuzzy rough set
  • fuzzy clustering
  • fuzzy data envelope

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.

Further information on MDPI's Special Issue polices can be found here.

Related Special Issue

Published Papers (2 papers)

Download All Papers
Order results
Result details
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:

Research

19 pages, 333 KiB  
Article
Bi-Fuzzy S-Approximation Spaces
by Ronghai Wang, Xiaojie Xie and Huilai Zhi
Mathematics 2025, 13(2), 324; https://doi.org/10.3390/math13020324 - 20 Jan 2025
Viewed by 349
Abstract
The S-approximation spaces are significant extension of the rough set model and have been widely applied in intelligent decision-making. However, traditional S-approximation spaces are limited to two crisp universes, whereas bi-fuzzy universes (i.e., two distinct fuzzy domains) are more prevalent in practical applications. [...] Read more.
The S-approximation spaces are significant extension of the rough set model and have been widely applied in intelligent decision-making. However, traditional S-approximation spaces are limited to two crisp universes, whereas bi-fuzzy universes (i.e., two distinct fuzzy domains) are more prevalent in practical applications. To bridge this gap, this study introduces the bi-fuzzy S-approximation spaces (BFS approximation spaces) as an advancement of knowledge space theory’s fuzzy extension. Upper and lower approximation operators are formally defined, and the properties of BFS approximation spaces under various operations, such as complement, intersection and union are systematically explored. Special attention is given to a significant form of these operators, under which the monotonicity and complementary compatibility of BFS approximation spaces are rigorously analyzed. These results not only extend the theoretical framework of S-approximation spaces but also pave the way for further exploration of fuzzy extensions within knowledge space theory. Full article
(This article belongs to the Special Issue Fuzzy Convex Structures and Some Related Topics, 2nd Edition)
14 pages, 239 KiB  
Article
Fuzzy Hilbert Transform of Fuzzy Functions
by Zhibo Yan
Mathematics 2025, 13(2), 289; https://doi.org/10.3390/math13020289 - 17 Jan 2025
Viewed by 343
Abstract
This paper studies the properties of the Fourier transform of the fuzzy function, and extends the classical Poisson integral formula on the half plane to the fuzzy case, obtaining the composition of the fuzzy set generated by a point in the complex field [...] Read more.
This paper studies the properties of the Fourier transform of the fuzzy function, and extends the classical Poisson integral formula on the half plane to the fuzzy case, obtaining the composition of the fuzzy set generated by a point in the complex field under the action of the fuzzy function. Further, we define and study the fuzzy Hilbert transform of fuzzy functions and their properties. We prove that when the fuzzy function degenerates to the classical case, the fuzzy Hilbert transform will degenerate to the classical Hilbert transform, which proves that the fuzzy Hilbert transform is an extension of classical transformations in the fuzzy function space. In addition, we point out and prove some properties of the fuzzy Hilbert transform. For some fuzzy functions that meet certain requirements, their fuzzy Hilbert transform is a fuzzy point on 0. Full article
(This article belongs to the Special Issue Fuzzy Convex Structures and Some Related Topics, 2nd Edition)
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:
 
Displaying articles 1-2
Back to TopTop