Shahrood University of TechnologyJournal of Algebraic Systems2345-512811220240101QUOTIENT STRUCTURES IN EQUALITY ALGEBRAS6582273110.22044/jas.2022.11919.1608ENRajab Ali BorzooeiDepartment of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti
University, Tehran, Iran.0000-0001-7538-7885Mohammad Mohseni TakalloDepartment of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti
University, Tehran, Iran.Mona Aaly KologaniHatef Higher Education Institute, Zahedan, Iran.Young Bae JunDepartment of Mathematics Education, Gyeongsang National University, P.O. Box
52828, Jinju, Korea.0000-0002-0181-8969Journal Article20220514The notion of fuzzy ideal in bounded equality algebras is defined, and several properties are studied. Fuzzy ideal generated by a fuzzy set is established, and a fuzzy ideal is made by using the collection of ideals. Characterizations of fuzzy ideal are discussed. Conditions for a fuzzy ideal to attains its infimum on all ideals are provided. Homomorphic image and preimage of fuzzy ideal are considered. Finally, quotient structures of equality algebra induced by (fuzzy) ideal are studied.https://jas.shahroodut.ac.ir/article_2731_816b89436b2d69ab6d7e4651e726983b.pdf