Characterizations of IF-filters of a pseudo-BL-algebra are established. Some related properties are investigated. The notation of prime IF- filters and a characterization of a pseudo-BL-chain are given. Homomorphisms of IF-filters and direct product of IF-filters are studied.
Pseudo BL-algebras are a noncommutative extention of BL-algebras. In this paper we study good pseudo BL-algebras and consider some classes of these algebras.
Characterizations of anti fuzzy filters in a pseudo-BL-algebra are established. Conditions for a fuzzy set to be an anti fuzzy filter are given. Finally, a study anti of fuzzy prime filters and characterizations of linearly ordered pseudo-BL-algebras via anti fuzzy filters are given.
Pseudo-BL-chains are linearly ordered pseudo-BL-algebras. Characterizations of them in terms of concepts of lattice theory are given.
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