MMN-2855

Fuzzy soft positive implicative hyper BCK-ideals of several types

S. Khademan; M. M. Zahedi; R. A. Borzooei; Y. B. Jun;

Abstract

‎Fuzzy soft positive implicative hyper $BCK$-ideal of types $(\ll‎, ‎\subseteq‎, ‎\subseteq)$‎, ‎$(\ll‎, ‎\ll‎, ‎\subseteq) $ and $(\subseteq‎, ‎\ll‎, ‎\subseteq)$ are introduced‎, ‎and their relations are investigated‎. ‎Relations between fuzzy soft strong hyper $BCK$-ideal and‎ ‎fuzzy soft positive implicative hyper $BCK$-ideal of types $(\ll‎, ‎\subseteq‎, ‎\subseteq)$ and‎ ‎$(\ll‎, ‎\ll‎, ‎\subseteq) $ are discussed‎. ‎We prove that the level set of fuzzy soft positive implicative hyper $BCK$-ideal of types $(\ll‎, ‎\subseteq‎, ‎\subseteq)$‎, ‎$(\ll‎, ‎\ll‎, ‎\subseteq) $ and $(\subseteq‎, ‎\ll‎, ‎\subseteq)$ are positive implicative hyper $BCK$-ideal of types $(\ll‎, ‎\subseteq‎, ‎\subseteq)$‎, ‎$(\ll‎, ‎\ll‎, ‎\subseteq) $ and $(\subseteq‎, ‎\ll‎, ‎\subseteq)$‎, ‎respectively‎. ‎Conditions for a fuzzy soft set to be a fuzzy soft positive implicative hyper $BCK$-ideal of types $(\ll‎, ‎\subseteq‎, ‎\subseteq)$‎, ‎$(\ll‎, ‎\ll‎, ‎\subseteq) $ and $(\subseteq‎, ‎\ll‎, ‎\subseteq)$‎, ‎respectively‎, ‎are founded‎, ‎and conditions for a fuzzy soft set to be a fuzzy soft weak hyper $BCK$-ideal are considered‎.


Vol. 22 (2021), No. 1, pp. 299-315
DOI: https://doi.org/10.18514/MMN.2021.2855


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