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A Deviation-Based Approach to Intuitionistic Fuzzy Multiple Attribute Group Decision Making

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  • Zeshui Xu

    (Shanghai Jiaotong University)

Abstract

The aim of this article is to investigate the approach to multiple attribute group decision making (MAGDM) with intuitionistic fuzzy information. We first introduce a deviation measure between two intuitionistic fuzzy numbers, and then utilize the intuitionistic fuzzy hybrid aggregation operator to aggregate all individual intuitionistic fuzzy decision matrices into a collective intuitionistic fuzzy decision matrix. Based on the deviation measure, we develop an optimization model by which a straightforward formula for deriving attribute weights can be obtained. Furthermore, based on the intuitionistic fuzzy weighted averaging operator and information theory, we utilize the score function and accuracy function to give an approach to ranking the given alternatives and then selecting the most desirable one(s). In addition, we extend the above results to MAGDM with interval-valued intuitionistic fuzzy information.

Suggested Citation

  • Zeshui Xu, 2010. "A Deviation-Based Approach to Intuitionistic Fuzzy Multiple Attribute Group Decision Making," Group Decision and Negotiation, Springer, vol. 19(1), pages 57-76, January.
    • Handle: RePEc:spr:grdene:v:19:y:2010:i:1:d:10.1007_s10726-009-9164-z
    DOI: 10.1007/s10726-009-9164-z
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    References listed on IDEAS

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    1. Ngwenyama, Ojelanki K. & Bryson, Noel, 1999. "Eliciting and mapping qualitative preferences to numeric rankings in group decision making," European Journal of Operational Research, Elsevier, vol. 116(3), pages 487-497, August.
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    Cited by:

    1. Zhi-Jiao Du & Zhi-Xiang Chen & Su-Min Yu, 2021. "Improved Failure Mode and Effect Analysis: Implementing Risk Assessment and Conflict Risk Mitigation with Probabilistic Linguistic Information," Mathematics, MDPI, vol. 9(11), pages 1-20, May.
    2. Junling Zhang & Gajanan G. Hegde & Jennifer Shang & Xiaowen Qi, 2016. "Evaluating Emergency Response Solutions for Sustainable Community Development by Using Fuzzy Multi-Criteria Group Decision Making Approaches: IVDHF-TOPSIS and IVDHF-VIKOR," Sustainability, MDPI, vol. 8(4), pages 1-28, March.
    3. Runtong Zhang & Jun Wang & Xiaomin Zhu & Meimei Xia & Ming Yu, 2017. "Some Generalized Pythagorean Fuzzy Bonferroni Mean Aggregation Operators with Their Application to Multiattribute Group Decision-Making," Complexity, Hindawi, vol. 2017, pages 1-16, August.
    4. Xiao-Wen Qi & Jun-Ling Zhang & Shu-Ping Zhao & Chang-Yong Liang, 2017. "Tackling Complex Emergency Response Solutions Evaluation Problems in Sustainable Development by Fuzzy Group Decision Making Approaches with Considering Decision Hesitancy and Prioritization among Asse," IJERPH, MDPI, vol. 14(10), pages 1-35, October.
    5. Jiuping Xu & Zhibin Wu & Yuan Zhang, 2014. "A Consensus Based Method for Multi-criteria Group Decision Making Under Uncertain Linguistic Setting," Group Decision and Negotiation, Springer, vol. 23(1), pages 127-148, January.
    6. Jun Ye, 2012. "Multicriteria Group Decision-Making Method Using Vector Similarity Measures For Trapezoidal Intuitionistic Fuzzy Numbers," Group Decision and Negotiation, Springer, vol. 21(4), pages 519-530, July.
    7. Sen Liu & Wei Yu & Ling Liu & Yanan Hu, 2019. "Variable weights theory and its application to multi-attribute group decision making with intuitionistic fuzzy numbers on determining decision maker’s weights," PLOS ONE, Public Library of Science, vol. 14(3), pages 1-21, March.
    8. Sidong Xian & Yafen Dong & Yubo Yin, 2017. "Interval-valued intuitionistic fuzzy combined weighted averaging operator for group decision making," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(8), pages 895-905, August.
    9. Zeshui Xu & Xiaoqiang Cai, 2014. "Deriving Weights from Interval Multiplicative Preference Relations in Group Decision Making," Group Decision and Negotiation, Springer, vol. 23(4), pages 695-713, July.
    10. Suvojit Dhara & Adrijit Goswami, 2023. "Causal Relationship and Ranking Technique (CRRT): A Novel Group Decision-Making Model and Application in Students’ Performance Assessment in Indian High School Context," Group Decision and Negotiation, Springer, vol. 32(4), pages 835-870, August.

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