Bosbach states on fuzzy structures

Bosbach states on fuzzy structures

Pseudo-BL algebras are non-commutative fuzzy structures which generalize BL-algebras and pseudo-MV algebras. In this paper we study the states on a pseudo-BL algebra. This concept is obtained by using the Bosbach condition for each of the two implications of a pseudo BL-algebra. We also propose a no...

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Veröffentlicht in:Soft computing (Berlin, Germany) Germany), 2004-01, Vol.8 (3), p.217-230
1. Verfasser: Georgescu, G.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
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Zusammenfassung:Pseudo-BL algebras are non-commutative fuzzy structures which generalize BL-algebras and pseudo-MV algebras. In this paper we study the states on a pseudo-BL algebra. This concept is obtained by using the Bosbach condition for each of the two implications of a pseudo BL-algebra. We also propose a notion of conditional state for BL-algebras.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-003-0266-2