基于联系数的属性权重未知的三角模糊数多属性决策  

Triangular Fuzzy Number Multi-attribute Decision-making with the Attribute Weight Unknown Based on Connection Number

作　　者：刘秀梅[1,2] 赵克勤[3,4] 

机构地区：[1]连云港师范高等专科学校初等教育学院,江苏连云港222006 [2]江苏师范大学连云港校区海州教师教育学院,江苏连云港222006 [3]诸暨市联系数学研究所研究室,浙江诸暨311811 [4]浙江大学非传统安全与和平发展研究中心集对分析研究所,浙江杭州310058

出　　处：《模糊系统与数学》2017年第2期95-106,共12页Fuzzy Systems and Mathematics

基　　金：江苏省第八批"六大人才高峰"基金项目(2011-JY-003)

摘　　要：针对属性权重完全未知且属性值为三角模糊数的多属性决策问题,采用属性值离差最大法确定属性权重,用"均值+偏差"联系数代表原属性值三角模糊数,按"均值"的加权求和模型得到方案的初排序,利用联系数中i的不同取值作排序不确定分析,应用概率统计原理综合不确定性分析结果,得到终排序,在提高决策可信性的同时,简化了属性权重完全未知的三角模糊数多属性建模与计算过程。实例表明新方法简明有效。For the fuzzy multi-attribute decision making （FMADM） problems, in which the information about attribute weights are unknown completely and the attribute values are in the form triangular fuzzy numbers, a method based on connection number is proposed. The attribute weights unknown are calculated by the maximum deviation of the attribute values, and the attribute values with the triangular fuzzy numbers are converted into connection numbers with the form of ＂average ＋ deviation＂. Furthermore, a model based on the ＂average＂ model of weighted summation is built. On this, the plan at the beginning of the sequence is given, the sort of uncertainty is analyses by using the ＂i＂ different values of connection numbers, and then, the basis of the principle of probability and statistics integrated uncertainty as a result, get the final sorting. While improve the credibility of decision-making, simplifies the attribute weights is completely unknown of triangular fuzzy number multi-attribute modeling and calculation process. Examples show that the new method is concise and effective.

关 键 词：三角模糊数 多属性决策 权重未知 最大离差 联系数 不确定性 

分 类 号：O223[理学—运筹学与控制论] C934[理学—数学]