Fuzzy -Fold BCI-Positive Implicative Ideals in BCI-Algebras

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Abstract

We consider the notion of fuzzy -fold positive implicative ideals in BCI-algebras. We analyse many properties of fuzzy -fold positive implicative ideals. We also establish an extension properties for fuzzy n-fold positive implicative ideals in BCI-algberas. This work generalizes the corresponding results in the crisp case.

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Fuzzy ideals of BCI and MV-algebras

C.S. Hoo (1994)

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On$n$-fold fuzzy positive implicative ideals of BCK-algebras

Young Jun, Kyung Ho Kim (2001)

We consider the fuzzification of the notion of an $n$-fold positive implicative ideal. We give characterizations of an $n$-fold fuzzy positive implicative ideal. We establish the extension property for $n$-fold fuzzy positive implicative ideals, and state a characterization of $\mathrm{PI}^n$-Noetherian BCK-algebras. Finally we study the normalization of $n$ -fold fuzzy positive implicative ideals.