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一种基于属性加权综合直觉梯形模糊数多属性决策方法
引用本文:陈良莉,黄天民.一种基于属性加权综合直觉梯形模糊数多属性决策方法[J].西南民族大学学报(自然科学版),2017,43(1):76-81.
作者姓名:陈良莉  黄天民
作者单位:西南交通大学数学学院,西南交通大学数学学院
基金项目:国家自然科学基金(61473239);中央高校基础研究基金(2682014ZT28)
摘    要:在解决属性值为直觉模糊数的多属性决策问题中,其权重信息未知.先采用熵值法来求其权重,并用直觉梯形模糊数权重平均算子求出各指标的平均属性值,给出了直觉梯形模糊数得分函数公式,期望函数公式.并提出了解决此类问题的方法与步骤,根据得分函数值大小进行排序,选择出最优方案.通过一个实例对此方法进行验证.

关 键 词:熵值  直觉梯形模糊数权重平均算子  直觉梯形模糊数  得分函数
收稿时间:2016/3/28 0:00:00
修稿时间:2016/12/27 0:00:00

Multiple attribute decision method based on attribute weighted comprehensive intuitionistic trapezoidal fuzzy numbers
CHEN Liang-li and HUANG Tian-min.Multiple attribute decision method based on attribute weighted comprehensive intuitionistic trapezoidal fuzzy numbers[J].Journal of Southwest University for Nationalities(Natural Science Edition),2017,43(1):76-81.
Authors:CHEN Liang-li and HUANG Tian-min
Affiliation:Department of Mathematics,Southwest Jiaotong University,Department of Mathematics,Southwest Jiaotong University
Abstract:In solving the problem that the attribute value is intuitionistic fuzzy number of multiple attribute decision, its weights are unknown information. Solving the weights with entropy value method, and using intuitionistic trapezoidal fuzzy number weighted average operator to calculate every index value of the average, the score function and the expected functions based on intuitionistic trapezoidal fuzzy number are given, and the method and steps to solve the problem are offered. According to the score function value to rank, the optimal solution is selected. Finally an example is used to illustrate the effectiveness of this method.
Keywords:entropy value  intuitionistic trapezoidal fuzzy number weighted average operator  intuitionistic trapezoidal fuzzy number  scoring function
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