1. Some Applications of Fuzzy Sets in Residuated Lattices.
- Author
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Flaut, Cristina, Piciu, Dana, and Bercea, Bianca Liana
- Subjects
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LATTICE theory , *FUZZY sets , *SET theory , *HADAMARD codes , *FUZZY logic , *RESIDUATED lattices , *CODING theory - Abstract
Many papers have been devoted to applying fuzzy sets to algebraic structures. In this paper, based on ideals, we investigate residuated lattices from fuzzy set theory, lattice theory, and coding theory points of view, and some applications of fuzzy sets in residuated lattices are presented. Since ideals are important concepts in the theory of algebraic structures used for formal fuzzy logic, first, we investigate the lattice of fuzzy ideals in residuated lattices and study some connections between fuzzy sets associated to ideals and Hadamard codes. Finally, we present applications of fuzzy sets in coding theory. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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