基于区间直觉梯形模糊数的群决策方法  

Approach to Group Decision Making Based on Interval-Valued Intuitionistic Trapezoidal Fuzzy Number

作　　者：汪新凡[1,2] 杨小娟[1] 

机构地区：[1]湖南工业大学理学院 [2]中南大学商学院

出　　处：《湖南工业大学学报》2012年第3期1-8,51,共9页Journal of Hunan University of Technology

基　　金：国家自然科学基金资助项目(70921001;61174075);教育部人文社科基金资助项目(10YJC630338;12YJA630114);湖南省社会科学基金资助项目(09YBB120);湖南省自然科学基金资助项目(11JJ6068)

摘　　要：针对准则值为区间直觉梯形模糊数(IVITFN)的群决策问题,定义了新的区间直觉梯形模糊数的加性的运算法则;基于这些运算法则,给出了几种区间直觉梯形模糊数信息的算术集成算子,包括区间直觉梯形模糊数的加权算术平均(IVITFNWAA)算子、区间直觉梯形模糊数的有序加权平均(IVITFNOWA)算子和区间直觉梯形模糊数的混合集成(IVITFNHA)算子;基于IVITFNWAA算子和IVITFNHA算子,提出了一种准则值为区间直觉梯形模糊数而准则权重确知的群决策方法。最后,实例分析表明了该方法的可行性和有效性。For group decision making problems in which the criteria values are interval-valued intuitionistic trapezoidal fuzzy numbers,some new additive operational laws of the interval-valued intuitionistic trapezoidal fuzzy number are defined,and based on these operational laws,some interval-valued intuitionistic trapezoidal fuzzy number arithmetic aggregation operators are proposed,such as the interval-valued intuitionistic trapezoidal fuzzy number weighted arithmetic averaging（IVITFNWAA） operator,the interval-valued intuitionistic trapezoidal fuzzy number ordered weighted averaging（IVITFNOWA） operator and the interval-valued intuitionistic trapezoidal fuzzy number hybrid aggregation（IVITFNHA） operator.Furthermore,on the basis of the IVITFNWAA operator and the IVITFNHA operator,an approach is developed for solving group decision making problems,in which the criteria values are interval-valued intuitionistic trapezoidal fuzzy numbers and the criteria weight information is known completely.Finally,an example is given to illustrate the feasibility and effectiveness of this method.

关 键 词：群决策 区间直觉梯形模糊数 IVITFNWAA算子 IVITFNOWA算子 IVITFNHA算子 

分 类 号：N945.25[自然科学总论—系统科学]