Original Research Article

Article volume = 2022 and issue = 1

Pages: 71–78

Article publication Date: November 21, 2022

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# Anti Fuzzy Congruence on Product Lattices

#### Rasul Rasuli

Department of Mathematics, Payame Noor University(PNU), P. O. Box 19395-4697, Tehran, Iran.

##### Abstract:

In this work, the concept of anti fuzzy congruence on lattice $L$ is introduced. Also if $K$ be another lattice, then the concept of anti fuzzy congruence on the product $L \times K$ is discussed. Finally it is proved for every anti fuzzy congruence relation $ \mu $ on $L \times K,$ the anti fuzzy congruences $ \mu_{L} $ and $ \mu_{K} $ can be defined on $L$ and $K$ respectively such that $ \mu=\mu_{L} \times \mu_{K}$.

##### Keywords:

Fuzzy set theory, Lattices and related structures, Congruence relations, Direct product, Isomorphisms.

##### References:

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##### Cite this article as:

- Rasul Rasuli, Anti Fuzzy Congruence on Product Lattices, Communications in Combinatorics, Cryptography & Computer Science, 2022(1), PP.71–78, 2022
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