基于直觉模糊λ-Shapley Choquet积分算子TOPSIS的多属性群决策方法  

Group decision making based on λ-Shapley Choquet integral novel intuitionistic fuzzy TOPSIS method

作　　者：曲国华[1] 张汉鹏[2] 刘增良[1] 张振华[3] 张强[1] 

机构地区：[1]北京理工大学管理与经济学院,北京100081 [2]西南财经大学工商管理学院,成都610074 [3]广东外语外贸大学经济贸易学院,广州510006

出　　处：《系统工程理论与实践》2016年第3期726-742,共17页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(61175122;71071018;71201089);教育部人文社科项目(14XJC630010);西南财经大学中央高校基本科研业务费专项资金创新团队项目(JBK150502);广东省哲学社科和软科学基金(GD12XGL14;2015A070704051;2014A030313575)~~

摘　　要：提出一种改进的逼近理想解排序(TOPSIS)方法,即直觉模糊λ-Shapley Choquet积分算子TOPSIS的多属性群决策方法.首先,定义了直觉模糊λ-Shapley Choquet积分算子Hamming距离,并运用模糊测度,Choquet积分,Shapley值定义了直觉模糊算术广义λ-Shapley Choquet积分算子和直觉模糊几何广义λ-Shapley Choquet积分算子,并分析其有关性质;然后利用直觉模糊决策矩阵Hamming距离和记分函数和精确函数确定专家模糊测度和属性模糊测度;进而给出直觉模糊环境下方案优选的算法;最后,通过算例进一步说明了该直觉模糊TOPSIS方法的有效性.An extension of TOPSIS, a novel intuitionistic fuzzy TOPSIS method for group decision making is investigated. Shapley Choquet integral-based Hamming distance between any intuitionistic fuzzy num- bers is defined. Based on fuzzy measure, Choquet integral and generally Shapley index, the arithmetical intuitionistic fuzzy generalized λ-Shapley Choquet （AIFGSCgλ） operator and the geometric intuitionistic fuzzy generalized Shapley Choquet （GIFGSCgλ） operator are proposed which are used to aggregate deci- sion maker＇s opinions in group decision making process, and some desirable properties for this operator are investigated. Distance measure, score function and accuracy function for intuitionistic fuzzy matrix are used to induce fuzzy measure of experts and criteria. Then an algorithm is developed for ranking alternatives under intuitionistic fuzzy environment. Finally, the result of numerical further illustrates the effectiveness of the Proposed extended TOPSIS method.

关 键 词：逼近理想解排序法 直觉模糊数 夏普利值 CHOQUET积分 群决策 

分 类 号：C934[经济管理—管理学]