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On sensible fuzzy ideals of BCK-algebras with respect to a t-conorm. (English) Zbl 1130.06009

Summary: We introduce the notion of sensible fuzzy ideals of BCK-algebras with respect to a t-conorm and investigate some of their properties. We give conditions for a sensible fuzzy subalgebra with respect to a t-conorm to be a sensible fuzzy ideal with respect to a t-conorm. Some properties of the direct product and S-product of fuzzy ideals of BCK-algebras with respect to a t-conorm are also discussed.

MSC:

06F35 BCK-algebras, BCI-algebras
03E72 Theory of fuzzy sets, etc.
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References:

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