Generalization of Fuzzy Soft   BCK  /  BCI  -Algebras | Zendy

Noor Alam | Zendy; G. Muhiuddin | Zendy; Sofian Obeidat | Zendy; Hasan Nihal Zaidi | Zendy; Anas Altaleb | Zendy; J. M. Aqib | Zendy

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Generalization of Fuzzy Soft

BCK / BCI

-Algebras

Author(s) -

Noor Alam,

G. Muhiuddin,

Sofian Obeidat,

Hasan Nihal Zaidi,

Anas Altaleb,

J. M. Aqib

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/9965074

Subject(s) - mathematics , algebra over a field , generalization , discrete mathematics , pure mathematics , mathematical analysis

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.

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