Generalization of fuzzy soft BCK/BCI-algebras (Q2230073)

Summary: In this paper, the notions of \((\in, \in\vee q)\)-fuzzy soft BCK/BCI-algebras and \((\in, \in\vee q)\)-fuzzy soft sub-BCK/BCI-algebras are introduced, and related properties are investigated. Furthermore, relations between fuzzy soft BCK/BCI-algebras and \((\in, \in\vee q)\)-fuzzy soft BCK/BCI-algebras are displayed. Moreover, conditions for an \((\in, \in\vee q)\)-fuzzy soft BCK/BCI-algebra to be a fuzzy soft BCK/BCI-algebra are provided. Also, the union, the extended intersection, and the ``AND''-operation of two \((\in, \in\vee q)\)-fuzzy soft (sub-)BCK/BCI-algebras are discussed, and a characterization of an \((\in, \in\vee q)\)-fuzzy soft BCK/BCI-algebra is established.