Jun, Young Bae; Shim, Wook Hwan Fuzzy structures of PI(\(\ll,\subseteq,\subseteq\)) BCK-ideals in hyper BCK-algebras. (English) Zbl 1011.06502 Int. J. Math. Math. Sci. 2003, No. 9, 549-556 (2003). 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. PDFBibTeX XMLCite \textit{Y. B. Jun} and \textit{W. H. Shim}, Int. J. Math. Math. Sci. 2003, No. 9, 549--556 (2003; Zbl 1011.06502) Full Text: DOI EuDML