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On FBZ-Algebras
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This paper introduces the concept of FBZ-algebra as a generalization of fuzzy implication algebra and investigates its fundamental properties. We establish a sufficient condition for an FBZ-algebra to become a fuzzy implication algebra. Furthermore, we examine s-FBZ-algebras, filters, and upper sets, and explore the relationships between FBZ-algebras and other logical algebras, including GE-algebras, BE-algebras, KU-algebras, UP-algebras, GK-algebras, L-algebras, and BCK-algebras. Finally, the structure of quotient FBZ-algebras is constructed and analyzed.
Heighten Science Publications Corporation
Title: On FBZ-Algebras
Description:
This paper introduces the concept of FBZ-algebra as a generalization of fuzzy implication algebra and investigates its fundamental properties.
We establish a sufficient condition for an FBZ-algebra to become a fuzzy implication algebra.
Furthermore, we examine s-FBZ-algebras, filters, and upper sets, and explore the relationships between FBZ-algebras and other logical algebras, including GE-algebras, BE-algebras, KU-algebras, UP-algebras, GK-algebras, L-algebras, and BCK-algebras.
Finally, the structure of quotient FBZ-algebras is constructed and analyzed.
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