, Volume 25, Issue 4, pp 1197-1210
Date: 20 Jul 2013

Anti fuzzy filters of \(CI\) -algebras

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In this paper, we introduce the notion of anti fuzzy filter and study the \(\mathcal{N }\) -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.