A Canonical Fuzzy Logic

2021/05/25 by Osvaldo Skliar, Skliar, Osvaldo, Sherry Gapper +3
Computer Science · #03B05 #03B10 #03B52 #03E72 #Advanced Algebra and Logic #FOS: Computer and information sciences #FOS: Mathematics #Fuzzy Logic and Control Systems #Logic (math.LO) #Logic in Computer Science (cs.LO) #Rough Sets and Fuzzy Logic

paper · pdf · doi:10.48550/arxiv.2105.12251

openalex publication_date 2021/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A presentation is provided of the basic notions and operations of a) the propositional calculus of a variant of fuzzy logic -- canonical fuzzy logic, CFL -- and in a more succinct and introductory way, of b) the theory of fuzzy sets according to that same logic. The propositional calculus of bivalent classical logic and classical set theory can be considered as particular cases of the corresponding theories of CFL if the numerical value of a specific parameter w is restricted to only two possibilities, 0 and 1.

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