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QUOTIENT STRUCTURES IN EQUALITY ALGEBRASopen access
- Issue Date
- Jan-2024
- Publisher
- Shahrood University of Technology
- Keywords
- Bounded equality algebra; Fuzzy ideal; Fuzzy sets; Ideal; Quotient structure
- Citation
- Journal of Algebraic Systems, v.11, no.2, pp 65 - 82
- Pages
- 18
- Indexed
- SCOPUS
- Journal Title
- Journal of Algebraic Systems
- Volume
- 11
- Number
- 2
- Start Page
- 65
- End Page
- 82
- ISSN
- 2345-511X
2345-511X
- 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. © 2024, Shahrood University of Technology. All rights reserved.
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