Mathematical Foundations and Applications of Rough and Fuzzy Set Methods
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Logic".
Deadline for manuscript submissions: 31 January 2027 | Viewed by 234
Editors
Interests: granular computing; fuzzy set theory; rough set theory; data mining; decision-making
Special Issue Information
Dear Colleagues,
Rough set theory and fuzzy set theory have emerged as powerful mathematical frameworks for modeling uncertainty, imprecision, and incomplete information. With the growing complexity of real-world systems and the increasing availability of heterogeneous data, there is a pressing need for robust mathematical tools that can support reasoning, decision-making, and knowledge discovery under uncertainty. This Special Issue aims to highlight recent advances in the mathematical foundations of rough and fuzzy set methods and their diverse applications across scientific and engineering disciplines. We invite submissions that address, but are not limited to, the following topics:
- Mathematical foundations of rough and fuzzy sets;
- Fuzzy logic and approximate reasoning;
- Rough approximations and uncertainty modeling;
- Hybrid models combining rough and fuzzy sets;
- Fuzzy rough sets and rough fuzzy sets;
- Granular computing;
- Three-way decisions and decision-theoretic rough sets;
- Granular-ball computing;
- Fuzzy clustering and classification;
- Rough and fuzzy set-based feature selection;
- Data mining and knowledge discovery with uncertainty;
- Applications in artificial intelligence, pattern recognition, medical diagnosis, image processing, and engineering systems;
- Connections to other soft computing paradigms such as neural networks and evolutionary algorithms;
- Algebraic and logical aspects of fuzzy and rough structures.
We also welcome contributions that present novel theoretical insights or innovative applications beyond the listed topics. This Special Issue seeks to provide a platform for researchers from mathematics, computer science, and various applied domains to share their latest findings and foster interdisciplinary collaboration.
We look forward to receiving your contributions, and thank you for your interest in this Special Issue.
Prof. Dr. Tingting Zheng
Prof. Dr. Yi Xu
Guest Editors
Manuscript Submission Information
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Keywords
- rough set theory
- fuzzy set theory
- granular computing
- granular-ball computing
- decision making
- data mining
- three-way decisions
- fuzzy rough set
- rough fuzzy set
- uncertainty modeling
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