运筹与管理2018，Vol.27Issue(1)：43-48,6.DOI:10.12005/orms.2018.0007
直觉模糊联盟合作博弈的非线性规划模型
Quadratic Programming Models of the Intuitionistic Fuzzy Coalition Cooperative Games
摘要
Abstract
The aim of this paper is to study the cooperative game: the coalition is the intuitionistic fuzzy set. Firstly,intuitionistic fuzzy coalition is defined and the interval characteristic function of the intuitionistic fuzzy coalition cooperative games is deduced based on the intuitionistic fuzzy choquet integral form.Furthermore,the supperadditivity, convexity and weakly supperadditivity of the interval characteristic function are proved. Secondly,the nonlinear programming model for solving the intuitionistic fuzzy coalition cooperative games is con-structed based on the Minkowski distance of interval numbers and the definition of the loss function,and the opti-mal allocation of the solution is obtained.Finally,a numerical example is examined to demonstrate the validity, superority and applicability of methodology proposed in this methodology.关键词
直觉模糊联盟合作博弈/非线性规划/Choquet积分Key words
intuitionistic fuzzy coalition/cooperative games/nonlinear programming methodology/Choquet integral分类
数理科学引用本文复制引用
南江霞,卜红,李登峰..直觉模糊联盟合作博弈的非线性规划模型[J].运筹与管理,2018,27(1):43-48,6.基金项目
国家自然科学基金(71231003,71561008,71461005) （71231003,71561008,71461005）
广西自然科学基金(2014GXNSFAA118010) （2014GXNSFAA118010）
桂林电子科技大学研究生教育创新计划资助项目(2016YJCX0) （2016YJCX0）
