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Algebraic Properties of ω,θ-Complex Fuzzy Subgroups

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  • Ahad Abdullah Al-harshni
  • Dilshad Alghazzawi
  • Musavarah Sarwar

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.

Suggested Citation

  • Ahad Abdullah Al-harshni & Dilshad Alghazzawi & Musavarah Sarwar, 2022. "Algebraic Properties of ω,θ-Complex Fuzzy Subgroups," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-8, September.
    • Handle: RePEc:hin:jnlmpe:1426724
    DOI: 10.1155/2022/1426724
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