SR-fuzzy deductive systems in equality algebras
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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.
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.
참고문헌 (10)
- T. M. Al-shami, "SR-fuzzy sets and their weighted aggregated operators in application to decision-making", Journal of Function Spaces, 2022, pp.14~ (2022)[DOI]
- S. Jenei, "Equality algebras", Studing Logics, 100, pp.1201~1209 (2012)
- M. Aaly Kologani, "Positive implicative equality algebras and equality algebras with some types", Journal of Algebraic Hyperstructures and Logical Algebras, 3(2), pp.69~86 (2022)[DOI]
- R. A. Borzooei, "Some types of filters in equality algebras", Categories and General Algebraic Structures with Applications, 7, pp.33~55 (2017)
- X. Y. Yu, "Fuzzy filters on equality algebras with applications", Journal of Intelligent & Fuzzy Systems, 35, pp.3709~3719 (2018)[DOI]
- F. Zebardast, "Results on equality algebras", Inform. Sci, 381, pp.270~282 (2017)
- S. Jenei, "On the variety of equality algebras", Proceedings of the 7th conference 221 of the European Society for Fuzzy Logic and Technology (EUSFLAT-11), pp.153~155 (2011)
- S. Jenei, "Equality algebras", Proceeding of CINTI 2010 conference-11th IEEE International Symposium on Computational Intelligence and Informatics (2010)
- K. T. Atanassov, "Intuitionistic Fuzzy Sets-Theory and Applications" (1999), Springe Verlag
- G. R. Rezaei, "Roughness of filters in equality algebras", Bulletin of the Section of Logic, 52(1), pp.1~18 (2023)[DOI]