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Quadratic Programming Models and Method for Interval-Valued Cooperative Games with Fuzzy Coalitions

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Game Theory and Applications (China GTA 2016, China-Dutch GTA 2016)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 758))

Abstract

The purpose of this paper is to develop a quadratic programming method for solving interval-valued cooperative games with fuzzy coalitions. In this method, the interval-valued cooperative games with fuzzy coalitions are converted into the interval-valued cooperative games (with crisp coalitions) by using the Choquet integral. Two auxiliary quadratic programming models for solving the interval-valued cooperative games are constructed by using the least square method and distance between intervals. The proposed models and method are validated and compared with other similar methods. A numerical example is examined to demonstrate the validity, superiority and applicability of the method proposed in this paper.

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Acknowledgement

This research was supported by the Soft Science Research Program of Fujian Province of China (No. 2016R0012), the Social Science Planning Program of Fujian Province of China (No. 2013C024), the Key Program of National Natural Science Foundation of China (No. 71231003), the National Natural Science Foundation of China (No. 71572040), the National Social Science Foundation of China (No. 13BGL150) and the Science and Technology Program of the Education Department of Fujian Province of China (No. JA13122).

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Authors and Affiliations

  1. School of Economics and Management, Fuzhou University, Fuzhou, 350116, Fujian, China

    Deng-Feng Li

  2. College of Transportation and Civil Engineering, Fujian Agriculture and Forestry University, No. 15, Shangxiadian Road, Cangshan District, Fuzhou, 350002, Fujian, China

    Jia-Cai Liu

Authors
  1. Deng-Feng Li
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  2. Jia-Cai Liu
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Correspondence to Jia-Cai Liu .

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Editors and Affiliations

  1. Fuzhou University, Fuzhou, Fujian, China

    Deng-Feng Li

  2. Chinese Academy of Sciences, Beijing, China

    Xiao-Guang Yang

  3. University of Twente, Enschede, The Netherlands

    Marc Uetz

  4. Northwestern Polytechnical University, Xi'an, China

    Gen-Jiu Xu

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Li, DF., Liu, JC. (2017). Quadratic Programming Models and Method for Interval-Valued Cooperative Games with Fuzzy Coalitions. In: Li, DF., Yang, XG., Uetz, M., Xu, GJ. (eds) Game Theory and Applications. China GTA China-Dutch GTA 2016 2016. Communications in Computer and Information Science, vol 758. Springer, Singapore. https://doi.org/10.1007/978-981-10-6753-2_23

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  • DOI: https://doi.org/10.1007/978-981-10-6753-2_23

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-6752-5

  • Online ISBN: 978-981-10-6753-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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