一种基于区间数偏离度的方案排序方法

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摘要针对特征取值为区间数的方案排序问题，提出两个区间数的偏离度概念用以构造方案间的偏离度矩阵，并给出一种基于总体偏离度优化的特征权重确定方法。利用提出的区间数向量的相对贴近度概念刻画一个方案接近于另一个方案的程度，进而对候选方案的优劣排序。该方法提出的各种度量较直观、易于理解，并通过实例验证方法的有效性和实用性。

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	徐艳霞
	李德玉
	胡建龙

关键词 ：区间数, 区间值信息系统, 特征权重, 方案排序

Abstract：For the alternative ranking problem with attribute values being interval numbers, the concept of deviation degree of two interval numbers is presented to construct the deviation degree matrix for alternatives and a method to determine weight vector based on the total deviation degree optimization is proposed as well in this paper. By using the proposed concept of relative closeness degree of interval number vectors, the degree of an alternative close to another is depicted, and thereby the merit of alternatives are ranked. The proposed measures of this method are intuitive and easy to understand, and an illustrative example is employed to demonstrate its feasibility and practicability.

Key words： Interval Number Interval-Valued Information System Attribute Weight Alternative Ranking

收稿日期: 2009-05-12

ZTFLH:

N945.25

基金资助:国家自然科学基金项目(No.60970014,60875040)、高等学校博士学科点专项科研基金项目(No.200801080006)、教育部科学技术研究重点项目(No.207018)和山西省重点实验室开放基金项目(No.2007031017)资助

作者简介: 徐艳霞，女，1985年生，硕士研究生，主要研究方向为智能决策方法.E-mail:xyx134@hotmail.com.李德玉，男，1965年生，教授，博士生导师，主要研究方向为智能决策方法.胡建龙，男，1981年生，博士研究生，主要研究方向为计算智能.

引用本文:

徐艳霞，李德玉，胡建龙. 一种基于区间数偏离度的方案排序方法[J]. 模式识别与人工智能, 2010, 23(3): 428-433. XU Yan-Xia,LI De-Yu,HU Jian-Long. An Alternative Ranking Method Based on Deviation Degree of Interval Numbers. , 2010, 23(3): 428-433.

链接本文:

http://manu46.magtech.com.cn/Jweb_prai/CN/ 或 http://manu46.magtech.com.cn/Jweb_prai/CN/Y2010/V23/I3/428

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