Algebraic Structures of Fermatean Fuzzy Relations with Applications in Decision-Making
Abstract
This paper introduces the concept of Fermatean Fuzzy Relations (FFRs) as an extension of Fermatean Fuzzy Sets to relational structures. The algebraic properties of FFRs are investigated, and their behavior under composition and other operations is analyzed. These results establish a theoretical foundation for applying FFRs in multi-criteria decision-making (MCDM) contexts. Illustrative examples and applications demonstrate the effectiveness of the proposed relations in handling uncertainty and improving decision-making performance.
Fields of Study & Subjects
Multi-Criteria Decision Making
Intuitionistic Fuzzy Systems Applications
Advanced Algebra and Logic
Publication details
- Journal / source
- New Mathematics and Natural Computation
- Pages
- 1–17
- Publication date
- 6 January 2026
- Language
- EN