Fuzzy Logics with Noncommutative Conjuctions

Author: Hájek P.

Source: Journal of Logic and Computation, Volume 13, Number 4, August 2003 , pp. 469-479(11)

Publisher: Oxford University Press

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Abstract:

Pseudo-BL-algebras were introduced by di Nola, Georgescu and Iorgulescu as a non-commutative generalization of BL-algebras. BL-algebras serve as general semantics of the basic fuzzy logic BL. Here we develop a corresponding generalization psBL (pseudo-basic fuzzy logic) of the logic BL and show the relation of psBL to pseudo-BL-algebras.

Keywords: Fuzzy logic; BL-algebras; noncommutativity

Document Type: Research article

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