In this work, the concept of intuitionistic fuzzy congruences on lattice $X$ was introduced and was defined direct product between them. Also some characterizations of them were established. Finally, isomorphism between factor lattices of similarity classes was investigated.
Keywords and Phrases
Fuzzy set theory, intuitionistic fuzzy set, lattices and related structures, congruence relations, direct product, isomorphisms.
A.M.S. subject classiﬁcation
03E72, 03G10, 08A30, 20K25, 05C60.