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A Linear Assignment Method for Multiple Criteria Decision Analysis with Hesitant Fuzzy Sets Based on Fuzzy Measure

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Abstract

The aim of this paper is to develop an approach to solve the multiple criteria decision making (MCDM) problems under the hesitant fuzzy environment, in which the criteria values take the form of the hesitant fuzzy elements (HFEs) and the information about criteria weights are correlative. Based on the λ-fuzzy measure, we firstly get the weight vector of the criteria. Secondly, we propose the linear assignment method to acquire the optimal preference ranking of the alternatives according to a set of criteria-wise rankings and a set of criteria importance within the context of HFEs on the basis of the Hesitant Euclidean distance. Finally, a practical example about talent introduction is given to verify the developed approach and to demonstrate its practicality and effectiveness.

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Acknowledgments

The work was supported by the National Natural Science Foundation of China under Grant No. 61174149 and 71571128 and the Humanities and Social Sciences Foundation of Ministry of Education of the People’s Republic of China (Nos. 14YJCZH091, 15XJA630006) and the construction plan of scientific research innovation team for colleges and universities in Sichuan Province (15TD0004).

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Authors and Affiliations

  1. School of Business, Sichuan Normal University, Chengdu, 610101, People’s Republic of China

    Guiwu Wei

  2. Communications Systems and Networks (CSN) Research Group, Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Guiwu Wei & Fuad E. Alsaadi

  3. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan

    Tasawar Hayat

  4. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Tasawar Hayat & Ahmed Alsaedi

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  1. Guiwu Wei
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  2. Fuad E. Alsaadi
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  3. Tasawar Hayat
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  4. Ahmed Alsaedi
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Correspondence to Guiwu Wei.

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Wei, G., Alsaadi, F.E., Hayat, T. et al. A Linear Assignment Method for Multiple Criteria Decision Analysis with Hesitant Fuzzy Sets Based on Fuzzy Measure. Int. J. Fuzzy Syst. 19, 607–614 (2017). https://doi.org/10.1007/s40815-016-0177-x

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