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Minimum-Cost Consensus Models for Group Decision Making Under Intuitionistic Fuzzy Environment

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Advances in Computer Science and Ubiquitous Computing (CUTE 2017, CSA 2017)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 474))

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Abstract

This paper mainly focuses on the consensus problems under fuzzy environment, in which experts’ original opinions take the form of intuitionistic fuzzy numbers. Based on the objective of minimizing the total consensus cost, we develop a novel intuitionistic minimum-cost consensus model (MCCM) in order to evaluate the deviation between individual opinions and group opinion. The proposed model can not only yield optimal adjusted individual opinions and consensus opinion, but also can explore index of each expert’s risk-bearing attitude. Additionally, some intuitionistic consensus models under WA operator and OWA operators are presented. With the help of multi-objective programming theory, linear-programming-based approaches are put forward to solve these consensus models. Finally, a numerical example is implemented to demonstrate the accuracy and effectiveness of the proposed models.

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Acknowledgments

The work is supported by the Humanities and Social Science Foundation of Ministry of Education in China (14YJCZH051), the National Natural Science Foundation of China (71701103, 71571104), Natural Science Foundation of Higher Education of Jiangsu Province of China under Grant (14KJB120003).

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Authors and Affiliations

  1. School of Economics and Management, Nanjing University of Information Sciences and Technology, Nanjing, 210044, China

    Yuanyuan He

  2. School of Computer and Software, Nanjing University of Information Sciences and Technology, Nanjing, 210044, China

    Chengshan Qian

  3. Department of Mathematics and Computer Science, Northeastern State University, Tahlequah, OK, 74464, USA

    Neal N. Xiong

Authors
  1. Yuanyuan He
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  2. Chengshan Qian
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  3. Neal N. Xiong
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Corresponding author

Correspondence to Yuanyuan He .

Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Seoul University of Science and Technology, Seoul, Korea (Republic of)

    James J. Park

  2. Department of Business Science, University of Salerno, Salerno, Italy

    Vincenzo Loia

  3. Department of Multimedia Engineering, Dongguk University, Seoul, Soul-t’ukpyolsi, Korea (Republic of)

    Gangman Yi

  4. Department of Multimedia Engineering, Dongguk University, Seoul, Soul-t’ukpyolsi, Korea (Republic of)

    Yunsick Sung

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He, Y., Qian, C., Xiong, N.N. (2018). Minimum-Cost Consensus Models for Group Decision Making Under Intuitionistic Fuzzy Environment. In: Park, J., Loia, V., Yi, G., Sung, Y. (eds) Advances in Computer Science and Ubiquitous Computing. CUTE CSA 2017 2017. Lecture Notes in Electrical Engineering, vol 474. Springer, Singapore. https://doi.org/10.1007/978-981-10-7605-3_114

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  • DOI: https://doi.org/10.1007/978-981-10-7605-3_114

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-7604-6

  • Online ISBN: 978-981-10-7605-3

  • eBook Packages: EngineeringEngineering (R0)

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