Affiliations: [a] Business School, Beijing Technology and Business University, Beijing, China
| [b] School of Management and Economics, Beijing Institute of Technology, Beijing, China
| [c] College of Business Administration, Shanghai Lixin University of Accounting and Finance, Shanghai, China
| [d] School of Logistics, Beijing Wuzi University, Beijing, China
Correspondence:
[*]
Corresponding authors. Hong-Xia Sun, Business School, Beijing Technology and Business University, No. 33 Fucheng
Road, Haidian District, Beijing, China. Tel.: +86 10 68985991; Fax: +86 10 68984948; E-mail: sunhongxia@btbu.edu.cn and Feng Wang, College of Business Administration, Shanghai Lixin University of Accounting and Finance, Room 728, Building Xulun, Num 2800, Wenxiang Road, Songjiang, Shanghai, China. Tel.: +86 21 67705499; Fax: +86 21 67705450; E-mail: wangf@lixin.edu.cn.
Abstract: In this paper, a game with coalition structure and fuzzy coalitions is introduced, which can be regarded as an extension of the game with coalition structure. Firstly, an Owen function is defined. Then, the unique explicit form of the Owen function is given by extending the Owen value. Secondly, as an extension of Owen function, a fuzzy Owen function is proposed. In addition, an explicit form of the fuzzy Owen function is given by considering the fuzzy intermediate game with Owen extension form. Finally, an illustrate example is provided to illustrate the allocation method of gains.
Keywords: Cooperative games, fuzzy coalition, coalition structure, Owen function
