Complex Intuitionistic fuzzy bracket product
Ameer Jaber, Rania Shaqbou'a
TL;DR
This paper extends the theory of complex intuitionistic fuzzy Lie superalgebras by introducing the complex intuitionistic fuzzy bracket product and analyzing its properties under anti-homomorphisms.
Contribution
It introduces the complex intuitionistic fuzzy bracket product and studies its behavior under Lie superalgebra anti-homomorphisms, expanding fuzzy algebraic structures.
Findings
Defined the complex intuitionistic fuzzy bracket product.
Characterized the image and preimage of the fuzzy bracket product under anti-homomorphisms.
Extended fuzzy Lie superalgebra theory with new algebraic operations.
Abstract
A complex intuitionistic fuzzy Lie superalgebra is a generalization of intuitionistic fuzzy Lie super-algebra whose membership function takes values in the unit disk in the complex plane. In [4], we introduced and studied the concepts of complex intuitionistic fuzzy Lie sub-superalgebras and complex intuitionistic fuzzy ideals of Lie superalgebras. Moreover, we also, in [4], defined the image and preimage of complex intuitionistic fuzzy Lie sub-superalgebra under Lie superalgebra anti-homomorphism, and he investigated the properties of anti-complex intuitionistic fuzzy Lie sub-superalgebras and anti-complex intuitionistic fuzzy ideals under anti-homomorphisms of Lie superalgebras. In this research, we use the concepts of complex intuitionistic fuzzy Lie superalgebras to introduce the complex intuitionistic fuzzy bracket products. Finally, we use the definitions of the image and preimage…
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Taxonomy
TopicsFuzzy and Soft Set Theory · Advanced Topics in Algebra