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无偏好信息的混合型多属性决策问题的TOPSIS方法
引用本文:曾三云,龙君.无偏好信息的混合型多属性决策问题的TOPSIS方法[J].桂林电子科技大学学报,2007,27(5):398-401.
作者姓名:曾三云  龙君
作者单位:1. 吉首大学,数学与计算机科学学院,湖南,吉首,416000
2. 吉首大学,民族预科教育学院,湖南,吉首,416000
摘    要:针对属性权重信息完全未知、属性值为精确数、区间数和三角模糊数的混合多属性决策问题,给出了逼近理想点法.该方法通过建立两个二次规划模型来确定属性的权重,再根据方案与理想点的相对贴近度的大小来对方案进行排序.最后给出了算例.

关 键 词:混合多属性决策  TOPSIS  二次规划  理想点
文章编号:1673-808X(2007)05-0398-04
修稿时间:2007-09-15

TOPSIS method for hybrid multi-attribute decision making problems without preference information
ZENG San-yun,LONG Jun.TOPSIS method for hybrid multi-attribute decision making problems without preference information[J].Journal of Guilin Institute of Electronic Technology,2007,27(5):398-401.
Authors:ZENG San-yun  LONG Jun
Affiliation:1. College of Mathematics and Computer Science, Jishou University, Jishou 416000,China; 2. School of Preparatory Education for Minority Nationalities, Jishou University, Jishou 416000,China
Abstract:A TOPSIS method is presented to deal with the hybrid multi-attribute decision making problems without preference information in which the information on attribute weights are unknown completely and the attribute values are given in the forms of precision number, interval number and triangular fuzzy number. Two quadratic programming models are constructed to determine the attribute weights. Alternatives are ranked according to their relative closeness to ideal solution. Finally, a numerical example is used to illustrate the proposed methods.
Keywords:hybrid multi-attribute decision making  TOPSIS  quadratic programming  ideal solution
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