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SR-fuzzy deductive systems in equality algebrasSR-fuzzy deductive systems in equality algebras
- Other Titles
- SR-fuzzy deductive systems in equality algebras
- Authors
- Young Bae Jun
- Issue Date
- Aug-2024
- Publisher
- 원광대학교 기초자연과학연구소
- Keywords
- (Positive implicative) equality algebra; (SR-fuzzy) subalgebra; (SR-fuzzy) deductive system
- Citation
- ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, v.28, no.1, pp 57 - 73
- Pages
- 17
- Indexed
- KCI
- Journal Title
- ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
- Volume
- 28
- Number
- 1
- Start Page
- 57
- End Page
- 73
- ISSN
- 2093-9310
2287-6235
- Abstract
- For the purpose of studying the deductive system (or filter) of equality algebras by applying the SR-fuzzy set to equality algebras, the concepts of SR-fuzzy subalgebras and SR-fuzzy deductive systems are introduced and related properties are investigated. Conditions under which the SR-fuzzy set becomes an SR-fuzzy subalgebra are explored, and the characterizations of the SR-fuzzy deductive system are discussed. Conditions are found in which the SR-fuzzy set becomes an SR-fuzzy subalgebra, and the characterizations of the SR-fuzzy deductive system are discussed. The relationship between SR-fuzzy subalgebra and SR-fuzzy deductive system is identified, and an SR-fuzzy deductive system established in a given deductive system is formed.
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