%0 Journal Article
%T QUOTIENT STRUCTURES IN EQUALITY ALGEBRAS
%J Journal of Algebraic Systems
%I Shahrood University of Technology
%Z 2345-5128
%A Borzooei, Rajab Ali
%A Mohseni Takallo, Mohammad
%A Aaly Kologani, Mona
%A Jun, Young Bae
%D 2024
%\ 01/01/2024
%V 11
%N 2
%P 65-82
%! QUOTIENT STRUCTURES IN EQUALITY ALGEBRAS
%K Bounded equality algebra
%K fuzzy sets
%K ideal
%K fuzzy ideal
%K quotient structure
%R 10.22044/jas.2022.11919.1608
%X The 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.
%U https://jas.shahroodut.ac.ir/article_2731_816b89436b2d69ab6d7e4651e726983b.pdf