English

A Canonical Fuzzy Logic

Logic 2021-05-27 v1 Logic in Computer Science

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 ww is restricted to only two possibilities, 0 and 1.

Keywords

Cite

@article{arxiv.2105.12251,
  title  = {A Canonical Fuzzy Logic},
  author = {Osvaldo Skliar and Sherry Gapper and Ricardo E. Monge},
  journal= {arXiv preprint arXiv:2105.12251},
  year   = {2021}
}

Comments

28 pages

R2 v1 2026-06-24T02:28:05.679Z