Fuzzy Sets, Rough Sets, and Fuzzy Relational Equations: Theoretical Advances and Applications

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

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