Title: On The Interval-valued Bifuzzy ?-ideals of ?-algebra
Authors: Nabaa Hasoon Jabir
Volume: 8
Issue: 6
Pages: 69-82
Publication Date: 2024/06/28
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.