Homomorphisms of Lattice-Valued Intuitionistic Fuzzy Subgroup Type-3.
Journal:
Computational intelligence and neuroscience
Published Date:
Apr 28, 2022
Abstract
The lattice-valued intuitionistic fuzzy set was introduced by Gerstenkorn and Tepavcevi as a generalization of both the fuzzy set and the -fuzzy set by incorporating membership functions, nonmembership functions from a nonempty set to any lattice , and lattice homomorphism from to the interval [0,1]. In this article, lattice-valued intuitionistic fuzzy subgroup type-3 (LIFSG-3) is introduced. Lattice-valued intuitionistic fuzzy type-3 normal subgroups, cosets, and quotient groups are defined, and their group theocratic properties are compared with the concepts in classical group theory. LIFSG-3 homomorphism is established and examined in relation to group homomorphism. The research findings are supported by provided examples in each section.