Open AccessFuzzy 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
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 , associative algebra , fuzzy set , discrete mathematics , fuzzy number , computer science , algebra representation , cellular algebra , artificial intelligence , physics , epistemology , philosophy , acoustics
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.