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2014 An Extension of the MULTIMOORA Method for Multiple Criteria Group Decision Making Based upon Hesitant Fuzzy Sets
Zhi-Hui Li
J. Appl. Math. 2014: 1-16 (2014). DOI: 10.1155/2014/527836

Abstract

In order to determine the membership of an element to a set owing to ambiguity between a few different values, the hesitant fuzzy set (HFS) has been proposed and widely diffused to deal with vagueness and uncertainty involved in the process of multiple criteria group decision making (MCGDM) problems. In this paper, we develop novel definitions of score function and distance measure for HFSs. Some examples are given to illustrate that the proposed definitions are more reasonable than the traditional ones. Furthermore, our study extends the MULTIMOORA (Multiple Objective Optimization on the basis of Ratio Analysis plus Full Multiplicative Form) method with HFSs. The proposed method thus provides the means for multiple criteria decision making (MCDM) regarding uncertain assessments. Utilization of hesitant fuzzy power aggregation operators also enables facilitating the process of MCGDM. A numerical example of software selection demonstrates the possibilities of application of the proposed method.

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Zhi-Hui Li. "An Extension of the MULTIMOORA Method for Multiple Criteria Group Decision Making Based upon Hesitant Fuzzy Sets." J. Appl. Math. 2014 1 - 16, 2014. https://doi.org/10.1155/2014/527836

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131666
Digital Object Identifier: 10.1155/2014/527836

Rights: Copyright © 2014 Hindawi

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