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Intuitionistic Fuzzy Interaction Hamy Mean Operators and Their Application to Multi-attribute Group Decision Making

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  • Peide Liu

    (Shandong University of Finance and Economics)

  • Yumei Wang

    (Shandong University of Finance and Economics)

Abstract

The Hamy mean (HM) operator, as a useful aggregation tool, is capable of capturing the correlations among multiple integrated parameters. In this paper, we expand HM operator to integrate intuitionistic fuzzy numbers (IFNs) on the basis of interaction operational rules of IFNs, and develop intuitionistic fuzzy interaction HM (IFIHM) operator and intuitionistic fuzzy weighted interaction HM (IFWIHM) operator. Moreover, we discuss some properties and particular cases of the IFIHM operator and the IFWIHM operator in detail. In addition, in real applications, there are many decision making problems with the interactions among multiple attributes, so we present a multi-attribute group decision making (MAGDM) method based on the IFWIHM operator. At the same time, the applicability and validity of the proposed MAGDM method is illustrated clearly by using an example concerning the evaluation of scenic spots. Finally, comparing with the existing approaches, the merits of the proposed MAGDM method are demonstrated, i.e., it can deal with MAGDM problems by considering the interactions among multiple attributes based on the IFWIHM operator which is a generalization of most existing operators, and it can also overcome the weaknesses existed in the traditional operational laws of IFNs.

Suggested Citation

  • Peide Liu & Yumei Wang, 2019. "Intuitionistic Fuzzy Interaction Hamy Mean Operators and Their Application to Multi-attribute Group Decision Making," Group Decision and Negotiation, Springer, vol. 28(1), pages 197-232, February.
    • Handle: RePEc:spr:grdene:v:28:y:2019:i:1:d:10.1007_s10726-018-9601-y
    DOI: 10.1007/s10726-018-9601-y
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    References listed on IDEAS

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    1. Yan Wang & Chengyu Xi & Shuai Zhang & Wenyu Zhang & Dejian Yu, 2015. "Combined Approach for Government E-Tendering Using GA and TOPSIS with Intuitionistic Fuzzy Information," PLOS ONE, Public Library of Science, vol. 10(7), pages 1-20, July.
    2. Mahsa Montajabiha, 2016. "An Extended PROMETHE II Multi-Criteria Group Decision Making Technique Based on Intuitionistic Fuzzy Logic for Sustainable Energy Planning," Group Decision and Negotiation, Springer, vol. 25(2), pages 221-244, March.
    3. Lili RONG & Peide LIU & Yanchang CHU, 2016. "Multiple Attribute Group Decision Making Methods Based on Intuitionistic Fuzzy Generalized Hamacher Aggregation Operator," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 50(2), pages 211-230.
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    Cited by:

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    2. Zhengmin Liu & Lin Li & Xiaolan Zhao & Linbin Sha & Di Wang & Xinya Wang & Peide Liu, 2020. "Selecting the Optimal Green Agricultural Products Supplier: A Novel Approach Based on GBWM and PROMETHEE II," Sustainability, MDPI, vol. 12(17), pages 1-23, August.
    3. Li Li & Hegong Lei & Jun Wang, 2020. "Q -Rung Probabilistic Dual Hesitant Fuzzy Sets and Their Application in Multi-Attribute Decision-Making," Mathematics, MDPI, vol. 8(9), pages 1-34, September.
    4. Shouzhen Zeng & Dandan Luo & Chonghui Zhang & Xingsen Li, 2020. "A Correlation-Based TOPSIS Method for Multiple Attribute Decision Making with Single-Valued Neutrosophic Information," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 19(01), pages 343-358, February.
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