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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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9965074 |
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| Summary: | 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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| ISSN: | 2314-4629 2314-4785 |