基于优势关系和可变精度粗糙集的多准则决策方法

Journal of Systems Engineering and Electronics ›› 2010, Vol. 32 ›› Issue (4): 759-763.

基于优势关系和可变精度粗糙集的多准则决策方法

胡军华，陈晓红

（中南大学商学院，湖南长沙 410083）

出版日期:2010-04-23 发布日期:2010-01-03

Multi-criteria decision making method based on dominance relation and variable precision rough set

HU Jun-hua，CHEN Xiao-hong

（Business School, Central South Univ., Changsha 410083, China）

Online:2010-04-23 Published:2010-01-03

摘要/Abstract

摘要：

针对不确定性决策问题，提出了一种基于优势关系和可变精度粗糙集理论的多准则决策方法。该方法把基于优势关系的粗糙集模型和基于可变精度粗糙集模型结合起来，在可变精度粗糙集模型中把规则的置信度阈值当作可变精度参数值。首先，给出全部方案的成对比较表。然后，从一部分方案的成对比较表中，利用优势关系粗糙集和可变精度粗糙集的扩展粗糙集理论提取两类优势规则。最后，定义打分函数给全部方案打分，并进行排序，选出最优方案。通过一个简单算例论证了该方法的可行性。

Abstract:

A multi-criteria decision making method based on dominance relation and variable precision rough set is proposed with respect to uncertain decision making problems. In this method, the dominance relation based rough set model is combined with the variable precision rough set (VPRS) model while the confidence threshold of a rule is regarded as the value of variable precision parameters. Firstly, the pairwise comparison table (PCT) of the whole alternativeis given. Then two kinds of rules are extracted from the partial PCT of the given PCT by using dominance relation and variable precision rough set theory. Finally, a score function is defined to sort all the alternatives and select the best one. The feasibility of the method is demonstrated by a simple illustrative example.

胡军华，陈晓红. 基于优势关系和可变精度粗糙集的多准则决策方法[J]. Journal of Systems Engineering and Electronics, 2010, 32(4): 759-763.

HU Jun-hua，CHEN Xiao-hong. Multi-criteria decision making method based on dominance relation and variable precision rough set[J]. Journal of Systems Engineering and Electronics, 2010, 32(4): 759-763.