Algebraic Properties of ω,θ-Complex Fuzzy Subgroups

摘要

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.