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Hesitant Fuzzy Maclaurin Symmetric Mean Operators and Its Application to Multiple-Attribute Decision Making

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Abstract

In this paper, we investigate the multiple-attribute decision-making (MADM) problems based on traditional Maclaurin symmetric mean operator operating under hesitant fuzzy environment. The Maclaurin symmetric mean (MSM) operator is a classical mean type aggregation operator and has strong modeling capability in modern information fusion theory, which has particular advantages for aggregating multi-dimension arguments. The prominent characteristic of the MSM operator is that it can capture the interrelationship among the multi-input arguments. Motivated by the idea of MSM operator, we develop the hesitant fuzzy Maclaurin symmetric mean (HFMSM) operator for aggregating the hesitant fuzzy information. Some desirable properties such as monotonicity, boundedness, idempotency are studied. Furthermore, we have discussed some special cases with respect to different parameter values of the HFMSM operator in detail. For the situations where the input arguments have different importance, we further develop the weighted hesitant fuzzy Maclaurin symmetric mean operator to aggregate hesitant fuzzy information. Based on which, an approach to MADM problems with hesitant fuzzy information is developed. Finally, a practical example with paper quality evaluation of sciencepaper online in China is provided to illustrate the practicality and effectiveness of the proposed method.

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Acknowledgments

The work is supported by the National Natural Science Foundation of China (NSFC) under Projects 71171048 and 71371049, Ph.D. Program Foundation of Chinese Ministry of Education 20120092110038, the Scientific Research and Innovation Project for College Graduates of Jiangsu Province CXZZ13_0138, the Scientific Research Foundation of Graduate School of Southeast University YBJJ1454,and the Scholarship from China Scholarship Council (No. 201406090096).

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Authors and Affiliations

  1. School of Economics and Management, Southeast University, Nanjing, 210096, People’s Republic of China

    Jindong Qin & Xinwang Liu

  2. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, T6G 2G7, Canada

    Witold Pedrycz

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  1. Jindong Qin
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  2. Xinwang Liu
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  3. Witold Pedrycz
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Correspondence to Xinwang Liu.

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Qin, J., Liu, X. & Pedrycz, W. Hesitant Fuzzy Maclaurin Symmetric Mean Operators and Its Application to Multiple-Attribute Decision Making. Int. J. Fuzzy Syst. 17, 509–520 (2015). https://doi.org/10.1007/s40815-015-0049-9

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  • DOI: https://doi.org/10.1007/s40815-015-0049-9

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