SR-fuzzy deductive systems in equality algebras

SR-fuzzy deductive systems in equality algebras

초록

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.

키워드

(Positive implicative) equality algebra(SR-fuzzy) subalgebra(SR-fuzzy) deductive system
제목
SR-fuzzy deductive systems in equality algebras
제목 (타언어)
SR-fuzzy deductive systems in equality algebras
저자
Young Bae Jun
DOI
10.30948/afmi.2024.28.1.57
발행일
2024-08
저널명
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
28
1
페이지
57 ~ 73