[1]赵克勤.基于集对分析的不确定性多属性决策模型与算法[J].智能系统学报,2010,5(1):41-50.
　ZHAO Ke-qin.Decision making algorithm based on set pair analysis for use when facing multiple uncertain attributes[J].CAAI Transactions on Intelligent Systems,2010,5(1):41-50.
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基于集对分析的不确定性多属性决策模型与算法

《智能系统学报》[ISSN 1673-4785/CN 23-1538/TP] 卷: 5 期数: 2010年第1期 页码: 41-50 栏目: 学术论文—人工智能基础 出版日期: 2010-02-25
Title:
Decision making algorithm based on set pair analysis for use when facing multiple uncertain attributes
文章编号:
1673-4785(2010)01-0041-10
作者:
赵克勤
诸暨市联系数学研究所，浙江 诸暨 311811
Author(s):
ZHAO Ke-qin
Institute of Zhuji Connection Number, Zhuji 311811, China
关键词:
不确定性; 多属性决策; 模糊数; 联系数; 集对分析
Keywords:
uncertainty;  multiple attribute decision making;  fuzzy number;  connection number;  set pair analysis
分类号:
TP18
文献标志码:
A
摘要:
针对不确定性多属性决策问题，提出统计学中的样本特征参数均值和方差也是模糊数（区间数、三角模糊数、梯形模糊数）特征参数的理论，并用联系数A+Bi表示“均值+方差”，再根据集对分析中的联系数理论计算“均值+方差”的“模”，用这种“模”代表属性权重和属性值进行不确定性多属性决策，简便实用；利用“均值+方差”联系数中i的不同取值可以考察不确定性对排序的影响.应用实例表明该理论是有效和可行的.
Abstract:
To help those making decisions when faced with multiple uncertainties, a theory was put forward that in statistics, the average and variance of characteristic parameters of a sample have the characteristic parameters of a fuzzy number. This includes interval number, triangular fuzzy number , and trapezoidal fuzzy number. Average + variance was shown as a connection number A+Bi .The modular of average + variance was then calculated according to connection number theory in set pair analysis. The module, representing the weight and value of attributes, can be employed to help make decisions when there are multiple uncertain attributes. The method is simple and practical. Taking various values of ｉ, the effect of uncertainty on sorting can be determined. Practical examples were used to demonstrate the feasibility and effectiveness of the proposed theory. 
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备注/Memo

收稿日期：2009-06-01.
通信作者：赵克勤.E-mail:zjzhaok@sohu.com.
作者简介：赵克勤，男，1950年生，研究员，浙江省诸暨市联系数学研究所所长，中国人工智能学会理事、人工智能基础专业委员会副主任、集对分析联系数学专业筹备委员会主任.主要研究方向为联系数学，1989年提出集对分析（联系数学），已出版《集对分析及其初步应用》专著1部，发表学术论文90余篇.

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