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部分权重信息下的三角模糊数型多属性决策方法
引用本文:曾三云,曾玲,龙君.部分权重信息下的三角模糊数型多属性决策方法[J].桂林电子科技大学学报,2006,26(1):64-67.
作者姓名:曾三云  曾玲  龙君
作者单位:桂林电子工业学院,计算科学与数学系,广西,桂林,541004
摘    要:针对属性值为三角模糊数且只有部分权重信息的多属性决策问题给出了逼近理想点法.该方法首先提出了规范化决策矩阵的新的计算公式,然后通过求解两个线性规划模型来确定属性的权重,再利用两个三角模糊数之间的距离分别计算各方案到模糊理想点和模糊负理想点的距离,最后根据各方案与模糊理想点的相对贴近度的大小排序得到方案的优劣排序.

关 键 词:多属性决策  模糊理想点  三角模糊数  逼近理想点法
文章编号:1001-7437(2006)01-0064-04
修稿时间:2005年9月1日

Triangular Fuzzy Number Multi-attribute Decision Making Method Under Partial Weight Information
ZENG San-yun,ZENG Ling,LONG Jun.Triangular Fuzzy Number Multi-attribute Decision Making Method Under Partial Weight Information[J].Journal of Guilin Institute of Electronic Technology,2006,26(1):64-67.
Authors:ZENG San-yun  ZENG Ling  LONG Jun
Abstract:A TOPSIS method is presented to deal with the multi-attribute decision making problems,in which the information on attribute weights is unknown partly and the attribute values are given in the forms of triangular fuzzy numbers.The new formulas of normalizing decision matrix are proposed firstly.Two linear programming models are then constructed to determine the attribute weights.Furthermore,the distance from each alternative to fuzzy ideal point or fuzzy negative ideal point is calculated through using distance of two triangular fuzzy numbers.Finally,Alternatives are ranked according to their relative closeness to fuzzy ideal point.
Keywords:multi-attribute decision making  fuzzy ideal point  triangular fuzzy number  Topsis
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