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: 10.18514/MMN.2021.2855