Generalization of Fuzzy Soft BCK/BCI-Algebras

Generalization of Fuzzy Soft BCK/BCI-Algebras

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...

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Veröffentlicht in:Journal of mathematics (Hidawi) 2021, Vol.2021, p.1-7
Hauptverfasser: Alam, N., Muhiuddin, G., Obeidat, S., Zaidi, H. N., Altaleb, A., M. Aqib, J.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Decision making
Fuzzy sets
Mathematics
Set theory
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Zusammenfassung: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.
ISSN:2314-4629
2314-4785
DOI:10.1155/2021/9965074