2024/01/28 by Cristina Flaut, Flaut, Cristina, Dana Piciu +3
Computer Science · #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy Logic and Control Systems #Logic (math.LO) #Rough Sets and Fuzzy Logic
paper · pdf · doi:10.48550/arxiv.2401.15643
openalex publication_date 2024/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, based on ideals, we investigate residuated lattices from fuzzy set theory and lattice theory point of view. Ideals are important concepts in the theory of algebraic structures used for formal fuzzy logic and first, we investigate the lattice of fuzzy ideals in residuated lattices. Then we present applications of fuzzy sets in Coding Theory and we study connections between fuzzy sets associated to ideals and Hadamard codes.