Homomorphisms of Lattice-Valued Intuitionistic Fuzzy Subgroup Type-3

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Kousar S., Saleem T., KAUSAR N., Pamucar D., Addis G. M.

Computational Intelligence and Neuroscience, vol.2022, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2022
  • Publication Date: 2022
  • Doi Number: 10.1155/2022/6847138
  • Journal Name: Computational Intelligence and Neuroscience
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, EMBASE, INSPEC, MEDLINE, Metadex, Psycinfo, Directory of Open Access Journals, Civil Engineering Abstracts
  • Yıldız Technical University Affiliated: Yes

Abstract

The lattice-valued intuitionistic fuzzy set was introduced by Gerstenkorn and Tepavcevi as a generalization of both the fuzzy set and the L-fuzzy set by incorporating membership functions, nonmembership functions from a nonempty set X to any lattice L, and lattice homomorphism from L 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.