Abstract:
The concept tripolar fuzzy subset is a generalization of fuzzy subset. In this paper, the concept bifuzzy ?-ideals, bifuzzy sub-commutative bifuzzy ?-ideals and sub-implicative fuzzy ?-ideals of ?-algebras are introduced and several properties are investigated. Also, the relations between fuzzy bifuzzy ?-ideals, sub-commutative bifuzzy ?-ideals and sub-implicative bifuzzy ideals are given. The image and the preimage of fuzzy ?-algebras, bifuzzy ?-ideals sub-commutative bifuzzy ?-ideals and sub-implicative bifuzzy ?-ideals under homomorphism of ?-algebras are defined and how the image and the preimage of them are studied.
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