Cooperative Games with the Intuitionistic Fuzzy Coalitions and Intuitionistic Fuzzy Characteristic Functions

  • Jiang-Xia NanEmail author
  • Hong Bo
  • Cheng-Lin Wei
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 758)


In this paper, the definition of the Shapley function for intuitionistic fuzzy cooperative games is given by extending the fuzzy cooperative games. Based on the extended Hukuhara difference, the specific expression of the Shapley intuitionistic fuzzy cooperative games with multilinear extension form is obtained, and its existence and uniqueness are discussed. Furthermore, the properties of the Shapley function are researched. Finally, the validity and applicability of the proposed method, as well as comparison analysis with other methods are illustrated with a numerical example.


Intuitionistic fuzzy cooperative games Shapley function Multilinear extension 



This research was sponsored by the National Natural Science Foundation of China (No.71231003), the National Natural Science Foundation of China (Nos. 71561008, 71461005), the Science Foundation of Guangxi Province in China (No. 2014GXNSFAA118010) and the Graduate Education Innovation Project Foundation of Guilin University of Electronic Technology (No. 2016YJCX0).


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© Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  1. 1.School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and ComputationGuilin University of Electronic TechnologyGuangxi, GuilinChina

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