In this book a number of concepts have been proposed including the concept of Anti-fuzzy AT-ideal in the AT-algebra. The image of homomorphism formation and the reverse image for the Anti-fuzzy AT-ideal have been investigated and it hase been proved that the Cartesian product of anti-fuzzy AT-ideal of AT-algebra is an anti-fuzzy AT-ideal. The concept of Intuitionistic fuzzy AT-ideal of AT-algebra has also been introduced. The subalgebra homomorphism and Cartesian product of intuitionistic fuzzy AT-ideal of AT-algebra have been investigated for this concept and the relation between the Anti-fuzzy AT-ideal and the intuitionistic fuzzy AT-ideal of AT-algebra has been shown.
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