The concept of abstract algebra on intuitionistic fuzzy sets were introduced and some basic theorems were proved by authors in 2017.
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In this study, homomorphism between intuitionistic fuzzy abstract algebras is defined, intuitionistic fuzzy function is examined and then intuitionistic fuzzy congruence relations are defined on intuitionistic fuzzy abstract algebra.
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Accordingly, the set of complete the fuzzy subsets of a bounded set have been accepted not to form a Boolean algebra.
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The fuzzy subsets of a finite settled form a Boolean algebra if the proposed definition of the complement functioning is considered.
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Since, this boolean algebra is formed aside the fuzzy subsets of a set.
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