Past Issues

Studies in Informatics and Control
Vol. 9, No. 4, 2000

Some Algebraic Properties of Non-commutative Fuzzy Structures

Laurențiu Leuștean
Abstract

Pseudo-BL algebras[2, 5] are non-commutative generalizations of BL­ algebras, algebraic structures for Basic Logic, the fuzzy logic introduced by Hajek [7]. In this paper we study some algebraic properties concerning co-annihila-tors and minimal prime filters on pseudo-BL alge­ bras, extending part of the results obtained in [1] to distributive lattices.

Keywords

Non-commutative fuzzy logic, pseudo-BL algebra, co-annihilators, mini­mal prime filters

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