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A Minimum Cost Consensus Model Considering Individual Tolerance Levels

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Proceedings of the Twelfth International Conference on Management Science and Engineering Management (ICMSEM 2018)

Part of the book series: Lecture Notes on Multidisciplinary Industrial Engineering ((LNMUINEN))

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Abstract

The consensus process plays a decisive role in a group decision making problem. From a perspective of optimization, various consensus models have been presented to help the group reach a predefined consensus level. The aim of this paper is to propose a new minimum cost consensus model and its dual model in an uncertain situation. In this new model, different individual tolerance levels are allowed and the group opinion is obtained by the weighted average (WA) operator. In such a model, the moderator does not need to pay if the changed opinion of a decision maker is still under the tolerance level of that decision maker. Moreover, the decision makers do not need to change their opinions into a common value to reach the consensus level. The proposed dual consensus model has some significant economic interpretations. Some properties with respect to the two proposed consensus models are analyzed. The validity of the proposed models is illustrated by a numerical example.

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Acknowledgements

The research was supported by the National Natural Science Foundation of China (Nos. 71671118 and 71601134).

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Authors and Affiliations

  1. Business School, Sichuan University, Chengdu, 610064, People’s Republic of China

    Xieyu Yang, Zhibin Wu, Jiuping Xu & Rui Qiu

Authors
  1. Xieyu Yang
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  2. Zhibin Wu
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  3. Jiuping Xu
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  4. Rui Qiu
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Corresponding author

Correspondence to Zhibin Wu .

Editor information

Editors and Affiliations

  1. Sichuan University, Chengdu, China

    Jiuping Xu

  2. Monash University, Department of Management, Melbourne, VIC, Australia

    Fang Lee Cooke

  3. Fuzzy Logic Systems Institute, Tokyo University of Science, Tokyo, Japan

    Mitsuo Gen

  4. Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada

    Syed Ejaz Ahmed

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Yang, X., Wu, Z., Xu, J., Qiu, R. (2019). A Minimum Cost Consensus Model Considering Individual Tolerance Levels. In: Xu, J., Cooke, F., Gen, M., Ahmed, S. (eds) Proceedings of the Twelfth International Conference on Management Science and Engineering Management. ICMSEM 2018. Lecture Notes on Multidisciplinary Industrial Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-93351-1_50

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