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Multiple Attribute Group Decision Making Method Based on Utility Theory Under Interval-Valued Intuitionistic Fuzzy Environment

Author

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  • Fangwei Zhang

    (Shanghai Maritime University)

  • Shihe Xu

    (Zhaoqing University)

Abstract

In this paper, a kind of multiple attribute group decision making problem is studied, where there is no original information about the weights of importance of the attributes and the decision makers (DMs), and the attribute values are given in the form of interval-valued intuitionistic fuzzy numbers (IVIFNs). To solve this problem, a new method is proposed based on utility theory. In the proposed method, the weights of importance of the DMs and the attributes are all determined by using the intuitionistic indexes of related IVIFNs. And then, the alternatives are compared by using their composite interval indexes which are generated based on utility theory. Finally, two numerical examples are proposed to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Fangwei Zhang & Shihe Xu, 2016. "Multiple Attribute Group Decision Making Method Based on Utility Theory Under Interval-Valued Intuitionistic Fuzzy Environment," Group Decision and Negotiation, Springer, vol. 25(6), pages 1261-1275, November.
    • Handle: RePEc:spr:grdene:v:25:y:2016:i:6:d:10.1007_s10726-016-9473-y
    DOI: 10.1007/s10726-016-9473-y
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    References listed on IDEAS

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    1. Jun Ye, 2013. "Multiple Attribute Group Decision-Making Methods with Completely Unknown Weights in Intuitionistic Fuzzy Setting and Interval-Valued Intuitionistic Fuzzy Setting," Group Decision and Negotiation, Springer, vol. 22(2), pages 173-188, March.
    2. Shouzhen Zeng, 2013. "Some Intuitionistic Fuzzy Weighted Distance Measures and Their Application to Group Decision Making," Group Decision and Negotiation, Springer, vol. 22(2), pages 281-298, March.
    3. Kim, Soung Hie & Choi, Sang Hyun & Kim, Jae Kyeong, 1999. "An interactive procedure for multiple attribute group decision making with incomplete information: Range-based approach," European Journal of Operational Research, Elsevier, vol. 118(1), pages 139-152, October.
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    Cited by:

    1. Xiaowei An & Zhuofu Wang & Huimin Li & Jiyong Ding, 2018. "Project Delivery System Selection with Interval-Valued Intuitionistic Fuzzy Set Group Decision-Making Method," Group Decision and Negotiation, Springer, vol. 27(4), pages 689-707, August.

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