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Published in: Neural Computing and Applications 7/2019

25-10-2017 | Original Article

Group decision making with interval fuzzy preference relations based on DEA and stochastic simulation

Authors: Jinpei Liu, Qin Xu, Huayou Chen, Ligang Zhou, Jiaming Zhu, Zhifu Tao

Published in: Neural Computing and Applications | Issue 7/2019

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Abstract

This paper proposes an integrated approach to group decision making with interval fuzzy preference relations using data envelopment analysis (DEA) and stochastic simulation. A novel output-oriented CCR DEA model is proposed to obtain the priority vector for the consistency fuzzy preference relation, in which each of the alternatives is viewed as a decision-making unit. Meanwhile, we design a consistency adjustment algorithm for the inconsistent fuzzy preference relation. Furthermore, we build an optimization model to get the weights of each fuzzy preference relation based on maximizing group consensus. Then, an input-oriented DEA model is introduced to obtain the final priority vector of the alternatives. Finally, a stochastic group preference analysis method is developed by analyzing the judgments space, which is carried out by Monte Carlo simulation. A numerical example demonstrates that the proposed method is effective.

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Metadata
Title
Group decision making with interval fuzzy preference relations based on DEA and stochastic simulation
Authors
Jinpei Liu
Qin Xu
Huayou Chen
Ligang Zhou
Jiaming Zhu
Zhifu Tao
Publication date
25-10-2017
Publisher
Springer London
Published in
Neural Computing and Applications / Issue 7/2019
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-017-3254-7

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