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New Logarithmic Operational Laws-Based Complex q-Rung Orthopair Fuzzy Aggregation Operators and Their Application in Decision-Making Process

Author

Listed:
  • Harish Garg
  • Zeeshan Ali
  • Tahir Mahmood
  • Sultan Aljahdali
  • Habib Shah
  • Zhen Zhang

Abstract

A complex q-rung orthopair fuzzy set (CQROFS) is one of the useful tools to handle the uncertainties in the data. The main characteristic of the CQROFS is that it handles the imprecise information in the data using the membership degrees such that the sum of the q-powers of the real parts (also for imaginary parts) of the membership and nonmembership degrees is restricted to the unit interval. Keeping the highlights of this set, in this study, we manifested some new logarithmic operational laws (LOLs) between the pairs of the CQROFSs and investigated their properties. Also, by using these proposed laws, we stated several averaging and geometric operators, namely, logarithmic complex q-rung orthopair fuzzy weighted averaging (LCQROFWA) and logarithmic complex q-rung orthopair fuzzy weighted geometric (LCQROFWG) operators and hence stated their fundamental properties. Later on, based on the suggested operators, a multiattribute decision-making (MADM) algorithm is acted to solve the decision-making problems. A numerical example has been considered to illustrate the approach and compare their obtained results with several of the existing studies’ results. Finally, the advantages of the suggested algorithms and operators are presented.

Suggested Citation

  • Harish Garg & Zeeshan Ali & Tahir Mahmood & Sultan Aljahdali & Habib Shah & Zhen Zhang, 2021. "New Logarithmic Operational Laws-Based Complex q-Rung Orthopair Fuzzy Aggregation Operators and Their Application in Decision-Making Process," Complexity, Hindawi, vol. 2021, pages 1-32, August.
    • Handle: RePEc:hin:complx:5540529
    DOI: 10.1155/2021/5540529
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    Cited by:

    1. Xiaohang Wu & Hasan Dinçer & Serhat Yüksel, 2022. "Analysis of crowdfunding platforms for microgrid project investors via a q-rung orthopair fuzzy hybrid decision-making approach," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 8(1), pages 1-22, December.

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