MMN-2855

Fuzzy soft positive implicative hyper BCK-ideals of several types

  • S. Khademan, Tarbiat Modares University, Department of Mathematics, Tehran, Iran, somayeh.khademan@modares.ac.ir
  • M. M. Zahedi, Graduate University of Advanced Technology, Department of Mathematics, Kerman, Iran, zahedi_mm@kgut.ac.ir
  • R. A. Borzooei, Shahid Beheshti University, Department of Mathematics, 1983963113 Tehran, Iran, borzooei@sbu.ac.ir
  • Y. B. Jun, Gyeongsang National University, Department of Mathematics Education, 52828 Jinju, Korea, skywine@gmail.com

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: 10.18514/MMN.2021.2855


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