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Fuzzy structures of PI(\(\ll,\subseteq,\subseteq\)) BCK-ideals in hyper BCK-algebras. (English) Zbl 1011.06502

Summary: The fuzzification of \(\text{PI}(\ll,\subseteq,\subseteq)_{\text{BCK}}\)-ideals is considered. Using the notion of \(\alpha\)-cut, characterization of fuzzy \(\text{PI}(\ll,\subseteq,\subseteq)_{\text{BCK}}\)-ideals is given. Conditions for a fuzzy set to be a fuzzy \(\text{PI}(\ll,\subseteq,\subseteq)_{\text{BCK}}\)-ideal are provided.

MSC:

06F35 BCK-algebras, BCI-algebras
08A72 Fuzzy algebraic structures
03E72 Theory of fuzzy sets, etc.
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