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Cooperative fuzzy games with interval characteristic functions

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Abstract

In this paper, a generalized form of fuzzy games with interval characteristic functions is proposed, which can be seen as an extension of games with crisp characteristic functions. Based on the extended Hukuhara difference, the interval Shapley function for interval fuzzy games is studied. Then, the concept of interval population monotonic allocation function (IPMAF) is defined. When interval fuzzy games are convex, we prove that the interval Shapley function is an IPMAF. Furthermore, two special types of interval fuzzy games are researched, and the associated interval Shapley function is studied.

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Acknowledgments

This work was supported by the State Key Program of National Natural Science of China (No. 71431006), the Funds for Creative Research Groups of China (No. 71221061), the Projects of Major International Cooperation NSFC (No. 71210003), the National Natural Science Foundation of China (Nos. 71201089, 71271217, 71201110 and 71271029), the National Science Foundation for Post-doctoral Scientists of China (2014M560655), and the Program for New Century Excellent Talents in University of China (No. NCET-12-0541).

Conflict of interest

The authors declare that they have no conflict of interest.

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Authors and Affiliations

  1. Business School, Central South University, Yuelu District, Changsha, 410083, Hunan Province, China

    Fanyong Meng, Xiaohong Chen & Chunqiao Tan

  2. School of Management, Qingdao Technological University, Qingdao, 266520, China

    Fanyong Meng

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  1. Fanyong Meng
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  2. Xiaohong Chen
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  3. Chunqiao Tan
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Correspondence to Fanyong Meng.

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Meng, F., Chen, X. & Tan, C. Cooperative fuzzy games with interval characteristic functions. Oper Res Int J 16, 1–24 (2016). https://doi.org/10.1007/s12351-015-0183-z

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  • DOI: https://doi.org/10.1007/s12351-015-0183-z

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