基于指数型模糊数的模糊多属性决策方法  

Multiple Attributes Decision-making Based on Exponential Type Fuzzy Numbers

作　　者：顾翠伶[1] 朱思峰[1] 

机构地区：[1]周口师范学院数学与统计学院,河南周口466000

出　　处：《模糊系统与数学》2015年第3期167-173,共7页Fuzzy Systems and Mathematics

基　　金：国家自然基金委-河南省人民政府人才培养联合基金资助项目(U1204618)

摘　　要：解决属性值和属性权重均为指数型模糊数的多属性决策问题。依据概率论中期望与方差的定义,求出指数型模糊数的期望与方差。考虑期望、方差及决策者的偏好,定义一种新的得分值函数。利用得分函数将属性指数型模糊权重精确化。定义指数型模糊数之间新的距离,利用各个方案与正负理想方案之间的相离度对方案进行排序择优。实例验证本文方法的有效性。Multi-attribute decision making, which is one of the most important parts of decision-making theory and modern decision making science, is widely used in many fields. A multi-attribute decision making mold based on exponential type fuzzy numbers is presented. According to the concept of expectation and Variance of probability and statistics, the expectation and Variance of exponential type fuzzy numbers are given. An exponential type fuzzy weight change into the accurate weights, with considering the expectation and the Variance of exponential type fuzzy numbers and the weights of the decision-makers. Redefine the distance between two exponential type fuzzy numbers. Rank the alternatives based on the deviation degree each scheme and the negative and ideal scheme. A numerical example shows the feasibility and the effectiveness of the proposed approach.

关 键 词：指数型模糊数 模糊多属性群决策 期望 相离度 

分 类 号：C934[经济管理—管理学]