QUOTIENT STRUCTURES IN EQUALITY ALGEBRAS

Author(s):

Rajab Ali Borzooei * , Mohammad Mohseni Takallo , Mona Aaly Kologani , Young Bae Jun

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

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.

Keywords:

Bounded equality algebra , fuzzy sets , ideal , fuzzy ideal , quotient structure

Language:
English
Published:
Journal of Algebraic Systems, Volume:11 Issue: 2, Winter-Spring 2024
Pages:
65 to 82
https://www.magiran.com/p2598264  
سامانه نویسندگان
  • Borzooei، Rajab Ali
    Corresponding Author (1)
    Borzooei, Rajab Ali
    Full Professor Mathematics, Shahid Beheshti University, تهران, Iran
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