fuzzy logics

Philosophy dictionary. . 2011.

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  • T-norm fuzzy logics — are a family of non classical logics, informally delimited by having a semantics which takes the real unit interval [0, 1] for the system of truth values and functions called t norms for permissible interpretations of conjunction. They are mainly …   Wikipedia

  • Fuzzy logic — is a form of multi valued logic derived from fuzzy set theory to deal with reasoning that is approximate rather than precise. Just as in fuzzy set theory the set membership values can range (inclusively) between 0 and 1, in fuzzy logic the degree …   Wikipedia

  • Fuzzy set — Fuzzy sets are sets whose elements have degrees of membership. Fuzzy sets have been introduced by Lotfi A. Zadeh (1965) as an extension of the classical notion of set. [# L.A. Zadeh (1965) Fuzzy sets. Information and Control 8 (3) 338 353 …   Wikipedia

  • Many-valued logic — In logic, a many valued logic (also multi or multiple valued logic) is a propositional calculus in which there are more than two truth values. Traditionally, in Aristotle s logical calculus, there were only two possible values (i.e., true and… …   Wikipedia

  • Monoidal t-norm logic — Monoidal t norm based logic (or shortly MTL), the logic of left continuous t norms, is one of t norm fuzzy logics. It belongs to the broader class of substructural logics, or logics of residuated lattices;[1] it extends the logic of commutative… …   Wikipedia

  • First-order logic — is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: first order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic (a less… …   Wikipedia

  • BL (logic) — Basic fuzzy Logic (or shortly BL), the logic of continuous t norms, is one of t norm fuzzy logics. It belongs to the broader class of substructural logics, or logics of residuated lattices;Ono (2003).] it extends the logic of all left continuous… …   Wikipedia

  • T-norm — In mathematics, a t norm (also T norm or, unabbreviated, triangular norm) is a kind of binary operation used in the framework of probabilistic metric spaces and in multi valued logic, specifically in fuzzy logic. A t norm generalizes intersection …   Wikipedia

  • Involution (mathematics) — In mathematics, an involution, or an involutary function, is a function that is its own inverse, so that: f ( f ( x )) = x for all x in the domain of f . General propertiesAny involution is a bijection.The identity map is a trivial example of an… …   Wikipedia

  • Łukasiewicz logic — In mathematics, Łukasiewicz logic is a non classical, many valued logic. It was originally defined by Jan Łukasiewicz as a three valued logic;Łukasiewicz J., 1920, O logice trójwartościowej (in Polish). Ruch filozoficzny 5:170–171. English… …   Wikipedia

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