Generalization of Fuzzy Soft $\text{BCK}/\text{BCI}$-Algebras

Abstract

In this paper, the notions of ∈ , ∈ ∨ q -fuzzy soft BCK / BCI -algebras and ∈ , ∈ ∨ q -fuzzy soft sub- BCK / BCI -algebras are introduced, and related properties are investigated. Furthermore, relations between fuzzy soft BCK / BCI -algebras and ∈ , ∈ ∨ q -fuzzy soft BCK / BCI -algebras are displayed. Moreover, conditions for an ∈ , ∈ ∨ 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 ∈ , ∈ ∨ q -fuzzy soft (sub-) BCK / BCI -algebras are discussed, and a characterization of an ∈ , ∈ ∨ q -fuzzy soft BCK / BCI -algebra is established.

Retracted: Generalization of Fuzzy Soft BCK/BCI-Algebras

“…Tis article has been retracted by Hindawi following an investigation undertaken by the publisher [1]. Tis investigation has uncovered evidence of one or more of the following indicators of systematic manipulation of the publication process:…”