基于等信息量转换的区间二元语义多属性群决策方法  

Multiple attribute group decision making with interval two-tuple linguistic information based on the amount of information convert

作　　者：张娜[1,2] 方志耕[1] 朱建军[1] 刘思峰[1] 郭晓君[1] 

机构地区：[1]南京航空航天大学经济与管理学院,南京210016 [2]石河子大学商学院,新疆五家渠831300

出　　处：《控制与决策》2015年第3期403-409,共7页Control and Decision

基　　金：国家社科重大项目(10&ZD014);国家自然科学基金项目(71363046;71173106;71171112);国家教育部人文社科项目(10YJA790174;12YJC630115;13YJC790198)

摘　　要：针对传统区间二元语义距离计算公式的不足,提出基于离散参数区间二元语义距离公式,构建基于等信息量转换的区间二元语义多属性群决策模型.基于该模型,针对属性权重和专家权重信息完全未知的情形,设计基于极大熵和正理想方案的权重确定模型,给出一种处理区间二元语言评价值的群决策问题求解方法.算例分析表明,所提出的方法可以在一定程度上克服以往基于区间二元语义距离处理方法造成信息扭曲和损失的不足.A group decision model is builded for multiple attribute group decision making problems with interval two-tuple linguistic information with the shortcomings of traditional binary semantic distance interval calculation formula based on discrete interval parameter tuple linguistic distance formula. The model is designed with the maximum entropy and the positive ideal solution in order to deal with the problem that the attribute weights and expert weights are unknown, and a method is proposed to solve the multiple attribute group decision making with interval two-tuple linguistic information. The example shows that the proposed method can more precisely deal with the interval two-tuple linguistic information and avoid information distortion and loss based on the previous method of traditional binary semantic distance interval calculation formula.

关 键 词：等信息转换 区间二元语义 离散参数 极大熵 群决策 

分 类 号：C934[经济管理—管理学]