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

C. Shajitha Begum | Zendy; A. Ibrahim | Zendy

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

Author(s) -

C. Shajitha Begum,

A. Ibrahim

Publication year - 2019

Publication title -

international journal of recent technology and engineering (ijrte)

Language(s) - English

Resource type - Journals

ISSN - 2277-3878

DOI - 10.35940/ijrte.c6476.118419

Subject(s) - mathematics , ideal (ethics) , fuzzy logic , associative property , lattice (music) , algebra over a field , pure mathematics , fuzzy subalgebra , discrete mathematics , fuzzy set , fuzzy number , computer science , artificial intelligence , physics , epistemology , acoustics , philosophy

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.

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