Generalization of Fuzzy Soft BCK/BCI-Algebras

N. Alam, G. Muhiuddin, S. Obeidat, H. N. Zaidi, A. Altaleb, J. M. Aqib and Naeem Jan

Journal of Mathematics, 2021, vol. 2021, 1-7

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9965074

DOI: 10.1155/2021/9965074

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