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Multiple Attribute Decision Making Based on Hesitant Fuzzy Einstein Geometric Aggregation Operators

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  • Xiaoqiang Zhou
  • Qingguo Li

Abstract

We first define an accuracy function of hesitant fuzzy elements (HFEs) and develop a new method to compare two HFEs. Then, based on Einstein operators, we give some new operational laws on HFEs and some desirable properties of these operations. We also develop several new hesitant fuzzy aggregation operators, including the hesitant fuzzy Einstein weighted geometric (HFEWGε) operator and the hesitant fuzzy Einstein ordered weighted geometric (HFEWGε) operator, which are the extensions of the weighted geometric operator and the ordered weighted geometric (OWG) operator with hesitant fuzzy information, respectively. Furthermore, we establish the connections between the proposed and the existing hesitant fuzzy aggregation operators and discuss various properties of the proposed operators. Finally, we apply the HFEWGε operator to solve the hesitant fuzzy decision making problems.

Suggested Citation

  • Xiaoqiang Zhou & Qingguo Li, 2014. "Multiple Attribute Decision Making Based on Hesitant Fuzzy Einstein Geometric Aggregation Operators," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:745617
    DOI: 10.1155/2014/745617
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    References listed on IDEAS

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    1. 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.
    2. Colin O. Benjamin & Ike C. Ehie & Yildirim Omurtag, 1992. "Planning Facilities at the University of Missouri-Rolla," Interfaces, INFORMS, vol. 22(4), pages 95-105, August.
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