Fuzzy Sets, Rough Sets, and Fuzzy Relational Equations: Theoretical Advances and Applications
A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".
Deadline for manuscript submissions: 30 April 2026 | Viewed by 1232
Special Issue Editors
Interests: relational systems of equations; programming; fuzzy sets; applications of fuzzy sets
Special Issue Information
Dear Colleagues,
Fuzzy set theory, fuzzy relational equations, and their extensions have significantly influenced the modelling of uncertainty and imprecision across various fields. At the same time, rough set theory has become a powerful tool for handling vagueness in data analysis. Moreover, fuzzy, rough, and hybrid methods—along with other techniques that leverage the strengths of different approaches—are used to describe and analyze diverse datasets and solve real-world problems. These methods form the foundation of various AI models, offering robust solutions for challenges ranging from decision-making and pattern recognition to image processing and intelligent control.
This Special Issue aims to develop both the theoretical foundations and practical applications of fuzzy set theory, fuzzy relational equations, and their extensions. It aims to explore innovative approaches that integrate fuzzy, approximate, and hybrid methods—techniques that exploit the strengths of different analytical frameworks—to effectively model uncertainty and imprecision. Works included in this Special Issue may address the analysis of both symmetric and asymmetric datasets, demonstrating robust solutions to real-world challenges such as decision-making, pattern recognition, image processing, and intelligent control. In addition, we also welcome papers demonstrating how fuzzy and approximate solutions can improve various artificial intelligence models.
In this Special Issue, research articles, papers presenting experimental results, and review papers are welcome.
Research areas may include (but are not limited to) the following:
- Theoretical developments in fuzzy set and fuzzy relational equation methodologies;
- Hybrid models combining fuzzy and rough techniques;
- Experimental studies on uncertainty modelling and imprecision management;
- Applications in AI, control systems, and image processing;
- Comparative analyses of different uncertainty modelling techniques.
Dr. Zofia Matusiewicz
Prof. Dr. Teresa Mroczek
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. Symmetry 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 sets
- fuzzy relational equations
- rough sets
- hybrid models
- uncertainty modelling
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