文献类型：期刊文献

英文题名：Nucleolus of Vague Payoff Cooperative Game

作者：Xiao, Huimin[1];Li, Shiwei[1];Xu, Youlei[1];Qiu, Chuangchuang[1]

第一作者：肖会敏

通讯作者：Li, SW[1]

机构：[1]Henan Univ Econ & Law, Sch Comp & Informat Engn, Zhengzhou 450002, Peoples R China

第一机构：河南财经政法大学计算机与信息工程学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Sch Comp & Informat Engn, Zhengzhou 450002, Peoples R China.|[1048412]河南财经政法大学计算机与信息工程学院;[10484]河南财经政法大学;

年份：2021

卷号：2021

外文期刊名：MATHEMATICAL PROBLEMS IN ENGINEERING

收录：;EI(收录号：20211310132178);Scopus(收录号：2-s2.0-85102972704);WOS:【SCI-EXPANDED(收录号:WOS:000631900300005)】；

基金：This study was supported by the National Natural Science Foundation of China (no. 11872175), the Philosophy and Social Science Application Research Major Project of Colleges and Universities in Henan Province (no. 2020-YYZD-02), and the Philosophy and Social Science Planning Project of Henan Province (no. 2020BJJ041).

语种：英文

外文关键词：Mathematical transformations - Nonlinear programming

摘要：This paper focuses on the problem of cooperative game with payoff of vague value and its nucleolus. Firstly, the paper defines the score function and accuracy function of vague sets and the method for ranking of vague sets and proposes the concept of core and nucleolus of vague payoff cooperative game. Based on this, the model of vague payoff cooperative game is built. Then, the relationship between the core and the nucleolus of vague payoff cooperative game is further discussed, and the existence and unique characteristics of the nucleolus are proved. We use the ranking method defined in the paper to transform the problem of finding the nucleolus solution into a nonlinear programming problem. Finally, the paper verifies the feasibility and effectiveness of the method for finding the nucleolus with an experimental analysis.