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Contemporary Algebraic Attributes of the q-Rung Orthopair Complex Fuzzy Subgroups

Author

Listed:
  • Arshad Ali
  • Mohamed Hmissi
  • Turki Alsuraiheed
  • Dilruba Akter
  • Xiaolong Qin

Abstract

A more advanced form of complex fuzzy sets is q-rung orthopair complex fuzzy (q -ROCF) sets, which offer an additional and broad visualization of the uncertainty present in the unit disk. In comparison to complex intuitionistic fuzzy sets and complex bipolar fuzzy sets, the q -ROCF set is more appropriate and versatile. Their ability to describe a broader range of unclear information makes them distinguishable because the real part of a complex-valued membership degree and the real part of a complex-valued nonmembership degree have a sum of qth powers that is equal to or less than one (similarly for the imaginary part of a complex-valued). In terms of the characteristics of the q -ROCF set, we propose the concept of q -ROCF subgroups and investigate some fundamental features under the q -ROCF set. Moreover, we show that every intuitionistic complex fuzzy subgroup is a q -ROCF subgroup. Also, we use this approach to define q -ROCF level subgroups, q -ROCF cosets, and q -ROCF normal subgroups of a certain group as well as to investigate some of their algebraic characteristics. Furthermore, we develop the concept of group homomorphism, images, and preimages under the influence of the q -ROCF subgroup.

Suggested Citation

  • Arshad Ali & Mohamed Hmissi & Turki Alsuraiheed & Dilruba Akter & Xiaolong Qin, 2024. "Contemporary Algebraic Attributes of the q-Rung Orthopair Complex Fuzzy Subgroups," Journal of Mathematics, Hindawi, vol. 2024, pages 1-16, September.
    • Handle: RePEc:hin:jjmath:5572061
    DOI: 10.1155/2024/5572061
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