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Bi-fuzzy graph cooperative game model and application to profit allocation of ecological exploitation

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Abstract

Ecological exploitation research generally holds that cooperation alliances form without restrictions and the information within alliances is known exactly. However, these assumptions do not always accord with reality. The main aim of this paper is to develop a more realistic approach in order to analyze alliance formation and profit allocation from ecological exploitation. We define an extended fuzzy graph cooperative game, in which players partially participating in coalitions and payoffs are fuzzy numbers, called bi-fuzzy graph cooperative game. The average tree solution (short for A-T solution) based on players’ risk preferences is proposed for this cooperative game, and the existence of the solution is proved. This paper can demonstrate that the players’ profitability depends not only on their marginal contribution degree to the coalition, but also on the communication structure and players’ positions in coalitions of a cooperative game.

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Acknowledgements

This research was partially supported by the Natural Science Foundation of China (Nos. 71572040, 71601049), the Science Foundation of Ministry of Education of China (No. 19YJC630201), the Project for Ecological Civilization Research of Fujian Social Science Research Base (Nos. KXJD1813A,KXJD1837A), the Program for Distinguished Young Scholars in University of Fujian Province (No. K80SCC55A), and the Project of Fujian Agriculture and Forestry University (Nos. XJQ201635, CXZX2017407, CXZX2017577). We appreciate the comments and suggestions given by the reviewers and editor of this journal.

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Authors and Affiliations

  1. College of Management, Fujian Agriculture and Forestry University, Fuzhou, 350002, Fujian, China

    Jie Yang

  2. Business School, Sichuan University, Chengdu, 610064, China

    Jie Yang

  3. Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, N2L 3C5, Canada

    D. Marc Kilgour

  4. Department of Systems Design Engineering, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

    D. Marc Kilgour

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  1. Jie Yang
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  2. D. Marc Kilgour
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JY conceived, designed, and wrote the manuscript; JY and MK provided relevant information and corrected the manuscript. All the authors have read and approved the final manuscript.

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Correspondence to Jie Yang.

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Yang, J., Kilgour, D.M. Bi-fuzzy graph cooperative game model and application to profit allocation of ecological exploitation. Int. J. Fuzzy Syst. 21, 1858–1867 (2019). https://doi.org/10.1007/s40815-019-00684-0

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  • DOI: https://doi.org/10.1007/s40815-019-00684-0

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