@article{Article_34,

title = {Anti Fuzzy Congruence on Product Lattices},

journal = {Communications in Combinatorics, Cryptography & Computer Science},

volume = {2022},

issue = {1},

issn = { 2783-5456 },

year = {2022},

url = {http://cccs.sgh.ac.ir/Articles/2022/issue 1/1-10-AntiFuzzyCongruenceonProductLattices.pdf},

author = {Rasul Rasuli},

keywords = {Fuzzy set theory, Lattices and related structures, Congruence relations, Direct product, Isomorphisms.},

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}$.}

};