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Approaches Based on Interval Type-2 Fuzzy Aggregation Operators for Multiple Attribute Group Decision Making

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Abstract

This paper aims to develop interval type-2 fuzzy aggregation operators including interval type-2-dependent ordered weighted averaging (IT2DOWA) operator and interval type-2 power averaging (IT2PA) operator. Properties of new aggregation operators are discussed, and interval type-2 weighted-dependent ordered weighted averaging (IT2WDOWA) operator and interval type-2 power averaging (IT2WPA) operator are presented by combining objective weights with subjective weights. Moreover, we utilize new operators to develop approaches for multiple attribute group decision making (MAGDM) with interval type-2 fuzzy numbers. Finally, we give an illustrative example to verify the developed approaches and simultaneously, some existing methods are referred to make comparison in order to demonstrate practicality and effectiveness of new ones. The primary contribution of this paper is twofold. One is to develop some new aggregation operators whose aggregation weights in MAGDM mainly depend on the relationship of aggregated interval type-2 fuzzy numbers by using different deviation measures. Another is to propose approaches with new interval type-2 aggregation operators to MAGDM problems, which begin with natural linguistic evaluation and EKM algorithms.

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Acknowledgments

The authors are thankful to the anonymous reviewers and the editors for their valuable comments and constructive suggestions with regard to this paper. The work was supported by National Natural Science Foundation of China (Nos. 71301001, 71371011, 11426033), Higher School Specialized Research Fund for the Doctoral Program (No.20123401110001), Anhui Provincial Natural Science Foundation (Nos.1308085QG127, 1508085QG149), Humanity and Social Science Youth Foundation of Ministry of Education (No. 13YJC630092), Anhui Provincial Philosophy and Social Science Planning Youth Foundation (No. AHSKQ2014D13), Project of Anhui Province for Excellent Young Talents, the Doctoral Scientific Research Foundation of Anhui University, Scientific Research and Training Program of Anhui University (KYXL2014010), Innovation and Training Program of Anhui University (201410357120, 201510357119).

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Authors and Affiliations

  1. School of Mathematical Sciences, Anhui University, Hefei, 230601, Anhui, China

    Xiyuan Ma, Peng Wu, Ligang Zhou, Huayou Chen & Tong Zheng

  2. Department of Electrical Engineering, Signal and Image Processing Institute, University of Southern California, Los Angeles, CA, 90089, USA

    Ligang Zhou

  3. Hefei No. 1 High School, Hefei, 230001, Anhui, China

    Jianqiao Ge

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  1. Xiyuan Ma
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  2. Peng Wu
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  3. Ligang Zhou
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Correspondence to Ligang Zhou.

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Ma, X., Wu, P., Zhou, L. et al. Approaches Based on Interval Type-2 Fuzzy Aggregation Operators for Multiple Attribute Group Decision Making. Int. J. Fuzzy Syst. 18, 697–715 (2016). https://doi.org/10.1007/s40815-015-0092-6

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