Algebraic Properties of ω,θ-Complex Fuzzy Subgroups

Ahad Abdullah Al-harshni, Dilshad Alghazzawi and Musavarah Sarwar

Mathematical Problems in Engineering, 2022, vol. 2022, 1-8

Abstract: This paper defined the notion of ω,θ-complex fuzzy sets, ω,θ-complex fuzzy subgroupoid, and ω,θ-complex fuzzy subgroups and described important examples under ω,θ-complex fuzzy sets. Additionally, we discussed the conjugacy class of group with respect to ω,θ-complex fuzzy normal subgroups. We define ω,θ-complex fuzzy cosets and elaborate the certain operation of this analog to group theoretic operation. We prove that factor group with regard to ω,θ-complex fuzzy normal subgroup forms a group and establishes an ordinary homomorphism from group to its factor group with regard to ω,θ-complex fuzzy normal subgroup. Moreover, we create the ω,θ-complex fuzzy subgroup of factor group.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:1426724

DOI: 10.1155/2022/1426724

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