A Group Decision-Making Model Based on Regression Method with Hesitant Fuzzy Preference RelationsReport as inadecuate




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Mathematical Problems in Engineering - Volume 2017 2017, Article ID 6549791, 8 pages - https:-doi.org-10.1155-2017-6549791

Research ArticleSchool of Management and Economics, University of Electronic Science and Technology of China, Chengdu 611731, China

Correspondence should be addressed to Yifei Du

Received 1 November 2016; Revised 17 November 2016; Accepted 8 December 2016; Published 3 January 2017

Academic Editor: Fazal M. Mahomed

Copyright © 2017 Min Xue and Yifei Du. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In recent years, the decision-making models with hesitant fuzzy preference relations HFPRs have received a lot of attention by some researchers. Meanwhile, the previous studies normally adopt normalization technical means to ensure the same number for all elements, which biases original information of decision-makers. In order to overcome this problem, in this paper, the multiplicative consistency of HFPRs is defined and the highest consistent reduced HFPRs are obtained by means of fuzzy linear programming method from given HFPRs. The proposed regression method eliminates the unreasonable information and retains the reasonable information from a given HFPR. In addition, the proposed method overcomes drawbacks of Zhu and Xu’s regression method and is more simple and effective. On account of the obtained reduced HFPRs by the proposed regression method, a GDM model is established. Finally, a supplier selection problem was researched to present the effectiveness and pragmatism of the proposed approach, which proved that the method could offer beneficial insights into the GDM procedure.





Author: Min Xue and Yifei Du

Source: https://www.hindawi.com/



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