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Journal of Logic and Computation 2003 13(4):469-479; doi:10.1093/logcom/13.4.469
© 2003 by Oxford University Press
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Original Article

Fuzzy Logics with Noncommutative Conjuctions

Petr Hájek

Institute of Computer Science AS CR, 182 07 Prague, Czech Republic. E-mail: hajek{at}cs.cas.cz

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.

Received 24 January 2002.


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