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Bipolar Complex Fuzzy Hamacher Aggregation Operators and Their Applications in Multi-Attribute Decision Making

Author

Listed:
  • Tahir Mahmood

    (Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan)

  • Ubaid ur Rehman

    (Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan)

  • Jabbar Ahmmad

    (Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan)

  • Gustavo Santos-García

    (Facultad de Economía y Empresa and Multidisciplinary Institute of Enterprise (IME), University of Salamanca, 37007 Salamanca, Spain)

Abstract

On the basis of Hamacher operations, in this manuscript, we interpret bipolar complex fuzzy Hamacher weighted average (BCFHWA) operator, bipolar complex fuzzy Hamacher ordered weighted average (BCFHOWA) operator, bipolar complex fuzzy Hamacher hybrid average (BCFHHA) operator, bipolar complex fuzzy Hamacher weighted geometric (BCFHWG) operator, bipolar complex fuzzy Hamacher ordered weighted geometric (BCFHOWG) operator, and bipolar complex fuzzy Hamacher hybrid geometric (BCFHHG) operator. We present the features and particular cases of the above-mentioned operators. Subsequently, we use these operators for methods that can resolve bipolar complex fuzzy multiple attribute decision making (MADM) issues. We provide a numerical example to authenticate the interpreted methods. In the end, we compare our approach with existing methods in order to show its effectiveness and practicality.

Suggested Citation

  • Tahir Mahmood & Ubaid ur Rehman & Jabbar Ahmmad & Gustavo Santos-García, 2021. "Bipolar Complex Fuzzy Hamacher Aggregation Operators and Their Applications in Multi-Attribute Decision Making," Mathematics, MDPI, vol. 10(1), pages 1-26, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2021:i:1:p:23-:d:708038
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    Cited by:

    1. Zhiping Xu & Ubaid ur Rehman & Tahir Mahmood & Jabbar Ahmmad & Yun Jin, 2023. "Assessment of Structural Systems to Design Earthquake Resistance Buildings by Employing Multi-Attribute Decision-Making Method Based on the Bipolar Complex Fuzzy Dombi Prioritized Aggregation Operator," Mathematics, MDPI, vol. 11(10), pages 1-22, May.

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