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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2015, 20(1), 62-75; https://doi.org/10.3390/mca20010075

# A Method of Hybrid Multiple Attributes Group Decision Making with Risk Considering Decision-Makers' Confidence

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College of Business, Hunan University of Science and Technology, Xiangtan, Hunan, 411201, PR China
2
College of Computer, South East University, Nanjing, Jiangshu, 210000, PR China
*
Author to whom correspondence should be addressed.
Published: 1 April 2015
PDF [529 KB, uploaded 26 February 2016]

# Abstract

With respect to different confidence on evaluation result from different decision-makers to the hybrid multi-attribute with risk, an approach to group decision- making based on prospect theory and projection theory is proposed. Firstly, a tuple is established to record the evaluation result and the hybrid decision information. Then the element of the tuple is changed into a single triangular fuzzy number by the transformation rule. Considering the confidence degree from single decision-maker to evaluation information, the group decision information is aggregated and the weights of attributes are calculated based on the intuitionistic fuzzy set theory. The improved projection method and prospect theory are proposed to rank the alternatives respectively. Finally, an application case is given to demonstrate the effectiveness and feasibility of the proposed approach.
Keywords:
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 (CC BY 4.0).

MDPI and ACS Style

Wen, X.; Ouyang, J.; Liu, Y. A Method of Hybrid Multiple Attributes Group Decision Making with Risk Considering Decision-Makers' Confidence. Math. Comput. Appl. 2015, 20, 62-75.

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