Original Research Article

Article volume = 2023 and issue = 1

Pages: 61–74

Article publication Date: March 4, 2023

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# Anti fuzzy B-subalgebras under S-norms

#### Rasul Rasuli

Department of Mathematics, Payame Noor University (PNU), P. O. Box 19395-3697, Tehran, Iran.

##### Abstract:

In this paper, we apply the concept of s-norm S to fuzzy structure of B-algebras. The notion of an anti fuzzy B-subalgebra and an anti fuzzy normal B-subalgebra with respect to s-norm are introduced and several related properties are investigated. The union and direct sum of them are defined and investigated. Finally, by using B-homomorphisms of B-algebras, characterizations of them are given.

##### Keywords:

Algebra and orders, theory of fuzzy sets, norms, sums and unions, homomorphisms.

##### References:

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##### Cite this article as:

- Rasul Rasuli, Anti fuzzy B-subalgebras under S-norms, Communications in Combinatorics, Cryptography & Computer Science, 2023(1), PP.61–74, 2023
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