Abstract
A fuzzy comparison operator was proposed to explore the fuzzy game. By comparing the fuzzy income of different strategy, the fuzzy equilibrium strategy was established based on a fuzzy comparison operator. At last the necessary and sufficient condition of the fuzzy equilibrium was discussed.
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References
Nishizaki, I., & Sakawa, M. (2000). Uilibrium solutions in multi-objective bi-matrix games with fuzzy payoffs and fuzzy goals. Fuzzy Sets and Systems, 111, 99–116.
Nishizaki, I., & Sakawa, M. (2001). Fuzzy and multi-objective games for conflict resolution. New York: Physica-Verlag.
Bector, C. R., & Chandra, S. (2005). Fuzzy mathematical programming and fuzzy matrix games. Berlin: Springer.
Bector, C. R., & Chandra, S. (2004). Duality in linear programming with fuzzy parameters and matrix games with fuzzy pay-offs. Fuzzy Sets and Systems, 146, 253–269.
Takashi, M. (2003). On characterization of equilibrium strategy of two-person zero-sum games with fuzzy payoffs. Fuzzy Sets and Systems, 139, 283–296.
Takashi, M. (2000). Characterization of the equilibrium strategy of the bimatrix game with fuzzy payoff. Journal of Mathematical Analysis and Applications, 251, 885–896.
Xiangfeng, Y., & Jinwu, G. (2014). Bayesian equilibria for uncertain bimatrix game with asymmetric information. Journal of Intelligent Manufacturing, 12(1), 65–78.
Cunlin, L. (2012). Characterization of the equilibrium strategy of fuzzy bimatrix games based on L-R fuzzy variables. Journal of Applied Mathematics, 2012, 1–15.
Zadeh, L. A. (1975). The concept of a linguistic variable and its applications in approximate reasoning. Information Sciences, 8, 199–252.
Sakawa, M., & Yano, H. (1991). Feasibility and Pareto optimality for multi-objective nonlinear programming problems with fuzzy parameters. Fuzzy Sets and Systems, 43, 1–15.
Acknowledgments
This paper is supported by the National Natural Science Foundation of China (No. 71561001); the Key Social Science Research Base of State Ethnic Affairs Commission of China-Governance and social management research center of Northwest Ethnic regions (No. MWJD 201612); the Foundation of North Minzu University (GLXY201608).
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Li, C., Zhang, L., Jia, Z. (2018). Fuzzy Game Based on Fuzzy Comparison Operator. In: Tavana, M., Patnaik, S. (eds) Recent Developments in Data Science and Business Analytics. Springer Proceedings in Business and Economics. Springer, Cham. https://doi.org/10.1007/978-3-319-72745-5_44
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DOI: https://doi.org/10.1007/978-3-319-72745-5_44
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