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A Novel Trapezoidal Bipolar Fuzzy TOPSIS Method for Group Decision-Making

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  • Muhammad Akram

    (University of the Punjab)

  • Maham Arshad

    (University of the Punjab)

Abstract

In this research article, the notions of bipolar fuzzy numbers, trapezoidal bipolar fuzzy numbers, triangular bipolar fuzzy numbers and bipolar fuzzy linguistic variables are introduced. Ranking function on the set of all bipolar fuzzy numbers, and the expressions for the ranking of trapezoidal and triangular bipolar fuzzy numbers are derived. A group decision making method based on trapezoidal bipolar fuzzy TOPSIS method is proposed, and the implementation of the proposed method in the selection of best project proposal is presented. Finally, a theoretical comparison of the proposed trapezoidal bipolar fuzzy TOPSIS method with other multi-criteria decision making methods such as TOPSIS, bipolar fuzzy TOPSIS and bipolar fuzzy ELECTRE I is discussed.

Suggested Citation

  • Muhammad Akram & Maham Arshad, 2019. "A Novel Trapezoidal Bipolar Fuzzy TOPSIS Method for Group Decision-Making," Group Decision and Negotiation, Springer, vol. 28(3), pages 565-584, June.
    • Handle: RePEc:spr:grdene:v:28:y:2019:i:3:d:10.1007_s10726-018-9606-6
    DOI: 10.1007/s10726-018-9606-6
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    References listed on IDEAS

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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Yibin Zhang & Kevin W. Li & Zhou-Jing Wang, 2017. "Prioritization and Aggregation of Intuitionistic Preference Relations: A Multiplicative-Transitivity-Based Transformation from Intuitionistic Judgment Data to Priority Weights," Group Decision and Negotiation, Springer, vol. 26(2), pages 409-436, March.
    3. Roszkowska, Ewa & Wachowicz, Tomasz, 2015. "Application of fuzzy TOPSIS to scoring the negotiation offers in ill-structured negotiation problems," European Journal of Operational Research, Elsevier, vol. 242(3), pages 920-932.
    4. Meimei Xia & Zeshui Xu & Na Chen, 2013. "Some Hesitant Fuzzy Aggregation Operators with Their Application in Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(2), pages 259-279, March.
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    Cited by:

    1. Liang Li & Yanwu Liu & Yan Tu & Xiaoyang Zhou & Benjamin Lev, 2022. "A Novel Group TODIM Method Based on Multi-Granularity Proportional Hesitant Fuzzy Linguistic Term Sets for Water Resources Risk Evaluation," Group Decision and Negotiation, Springer, vol. 31(5), pages 913-944, October.
    2. Muhammad Akram & Ghulam Muhammad & Ali N. A. Koam & Nawab Hussain, 2019. "Iterative Methods for Solving a System of Linear Equations in a Bipolar Fuzzy Environment," Mathematics, MDPI, vol. 7(8), pages 1-25, August.
    3. Qilong Wan & Xiaodong Miao & Chenguang Wang & Hasan Dinçer & Serhat Yüksel, 2023. "A hybrid decision support system with golden cut and bipolar q-ROFSs for evaluating the risk-based strategic priorities of fintech lending for clean energy projects," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-25, December.
    4. Xiao-kang Wang & Sheng-hui Wang & Hong-yu Zhang & Jian-qiang Wang & Lin Li, 2021. "The Recommendation Method for Hotel Selection Under Traveller Preference Characteristics: A Cloud-Based Multi-Criteria Group Decision Support Model," Group Decision and Negotiation, Springer, vol. 30(6), pages 1433-1469, December.

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