Anti fuzzy filters of CI-algebras

摘要

In this paper, we introduce the notion of anti fuzzy filter and study the N-subalgebra(filter) of CI-algebra X. We prove that every anti fuzzy filter of BE-algebra is an anti fuzzy subalgebra, but it is not valid in CI-algebra. Finally, the notion of fuzzy translations and fuzzy extension of anti fuzzy filter in CI-algebras are introduced. We show that every anti fuzzy filter can be as an anti fuzzy extension, but converse may not be true in general.