Multicriteria decision making method based on Vague sets and fuzzy linear ranking

doi:10.3778/j.issn.1002-8331.2009.28.011

Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (28): 39-40.DOI: 10.3778/j.issn.1002-8331.2009.28.011

• 研究、探讨 • Previous Articles Next Articles

Multicriteria decision making method based on Vague sets and fuzzy linear ranking

YAO Rui-pu¹，SHEN Hui-zhang²

1.School of Information Engineering，Tianjin University of Commerce，Tianjin 300134，China
2.Institute of System Engineering，Shanghai Jiao Tong University，Shanghai 200052，China

Received:2008-05-22 Revised:2008-09-25 Online:2009-10-01 Published:2009-10-01
Contact: YAO Rui-pu

Vague集多指标决策的模糊值线性序法

要瑞璞¹，沈惠璋²

1.天津商业大学信息工程学院，天津 300134
2.上海交通大学系统工程研究所，上海 200052

通讯作者: 要瑞璞

Abstract

Abstract: In the light of the multicriteria decision making problems，a new method is given.Firstly，by transforming Vague sets into fuzzy sets，the fuzzy matrix is obtained.Secondly，the alternatives are ranked according to every columns of the fuzzy matrix from big to small.Then the fuzzy priority relation matrix is obtained.By cutting the fuzzy priority relation matrix，the best alternative can be obtained and every alternative is ranked.At the last，a practical example demonstrates the decision-making process.

Key words: multicriteria decision making, Vague sets, fuzzy priority relation matrix, ranking

摘要： 就Vague集的多指标决策问题，提出了一种新的多指标决策方法。该方法首先将Vague值转化为模糊值，从而建立模糊值矩阵，由模糊值矩阵按各指标对应值的大小对方案进行排序，形成多个线性序，进而由线性序来构造模糊优先矩阵，然后通过对模糊优先矩阵进行截割，得到方案的优劣程度排序，从而选出最优方案。最后通过一个实例说明此方法的具体决策过程。

关键词: 多指标决策, Vague集, 模糊优先矩阵, 排序

CLC Number:

TP18

YAO Rui-pu¹，SHEN Hui-zhang².

Multicriteria decision making method based on Vague sets and fuzzy linear ranking

[J]. Computer Engineering and Applications, 2009, 45(28): 39-40.

要瑞璞¹，沈惠璋². Vague集多指标决策的模糊值线性序法[J]. 计算机工程与应用, 2009, 45(28): 39-40.

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Multicriteria decision making method based on Vague sets and fuzzy linear ranking

Vague集多指标决策的模糊值线性序法

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