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Identification and Classification of Aggregation Operators Using Bipolar Complex Fuzzy Settings and Their Application in Decision Support Systems

Author

Listed:
  • Tahir Mahmood

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

  • Ubaid ur Rehman

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

  • Zeeshan Ali

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

  • Muhammad Aslam

    (Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia)

  • Ronnason Chinram

    (Algebra and Applications Research Unit, Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand)

Abstract

The idea of bipolar complex fuzzy (BCF) sets, as a genuine modification of both bipolar fuzzy sets and complex fuzzy sets, gives a massive valuable framework for representing and evaluating ambiguous information. In intelligence decision making based on BCF sets, it is a critical dilemma to compare or rank positive and negative membership grades. In this framework, we deliberated various techniques for aggregating the collection of information into a singleton set, called BCF weighted arithmetic averaging (BCFWAA), BCF ordered weighted arithmetic averaging (BCFOWAA), BCF weighted geometric averaging (BCFWGA), and BCF ordered weighted geometric averaging (BCFOWGA) operators for BCF numbers (BCFNs). To illustrate the feasibility and original worth of the diagnosed approaches, we demonstrated various properties of the diagnosed operators, in addition to their capability that the evaluated value of a set of BCF numbers is a unique BCF number. Further, multiattribute decision making (“MADM”) refers to a technique employed to compute a brief and dominant assessment of opinions with multiattributes. The main influence of this theory is implementing the diagnosed theory in the field of the MADM tool using BCF settings. Finally, a benchmark dilemma is used for comparison with various prevailing techniques to justify the cogency and dominancy of the evaluated operators.

Suggested Citation

  • Tahir Mahmood & Ubaid ur Rehman & Zeeshan Ali & Muhammad Aslam & Ronnason Chinram, 2022. "Identification and Classification of Aggregation Operators Using Bipolar Complex Fuzzy Settings and Their Application in Decision Support Systems," Mathematics, MDPI, vol. 10(10), pages 1-19, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:10:p:1726-:d:818352
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    References listed on IDEAS

    as
    1. Tahir Mahmood & Ali Jaballah, 2020. "A Novel Approach towards Bipolar Soft Sets and Their Applications," Journal of Mathematics, Hindawi, vol. 2020, pages 1-11, October.
    2. Kifayat Ullah, 2021. "Picture Fuzzy Maclaurin Symmetric Mean Operators and Their Applications in Solving Multiattribute Decision-Making Problems," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-13, October.
    3. Songsong Dai & Lvqing Bi & Bo Hu, 2019. "Distance Measures between the Interval-Valued Complex Fuzzy Sets," Mathematics, MDPI, vol. 7(6), pages 1-12, June.
    4. Lvqing Bi & Zhiqiang Zeng & Bo Hu & Songsong Dai, 2019. "Two Classes of Entropy Measures for Complex Fuzzy Sets," Mathematics, MDPI, vol. 7(1), pages 1-10, January.
    5. Haifeng Song & Lvqing Bi & Bo Hu & Yingying Xu & Songsong Dai, 2021. "New Distance Measures between the Interval-Valued Complex Fuzzy Sets with Applications to Decision-Making," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-9, March.
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    1. Zeeshan Ali & Miin-Shen Yang, 2024. "Improving Risk Assessment Model for Cyber Security Using Robust Aggregation Operators for Bipolar Complex Fuzzy Soft Inference Systems," Mathematics, MDPI, vol. 12(4), pages 1-19, February.
    2. 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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