Fuzzy Positive Implicative and Fuzzy Associative WI-Ideals of Lattice Wajsberg Algebras

Abstract

We introduce the definitions of fuzzy positive implicative WI-ideal and fuzzy associative WI-ideal of lattice Wajsberg algebra. Further, we prove every fuzzy positive implicative WI-ideal of lattice Wajsberg algebra is a fuzzy WI-ideal. Also, we discuss the relationship between fuzzy positive implicative WI-ideal and level subsets. Moreover, we give the relationship of fuzzy associative WI-ideal with fuzzy WI-ideal in lattice Wajsberg algebra. Finally, we study some characterizations of fuzzy associative WI-ideal.