集对分析联系数在黑启动vague集决策中的应用研究

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Title:

Application of the set-pair analysis connection numberin decision-making of black-start vague set

作者:

赵玉铃, 张廉

浙江水利水电学院, 浙江 杭州 310018

Author(s):

ZHAO Yuling, ZHANG Lian

Zhejiang University of Water Resources and Electric Power, Hangzhou 310018, China

关键词:

黑启动决策; vague集; 指标关联性; 不确定性; 联系数; 集对分析

Keywords:

black-start decision; vague set; correlation index; uncertainty; connection number; set-pair analysis

分类号:

TM711

DOI:

10.3969/j.issn.1673-4785.201305002

摘要:

vague集本质上是一种含有不确定性的模糊集,应用时需要做不确定性分析。为此,把集对分析联系数应用于黑启动vague集决策之中。首先,把用vague集表示的专家权重、指标权重与指标值都改写成联系数的形式,得出基于联系数的黑启动vague集决策模型,再对模型的计算结果作不确定性分析,考察不确定性条件下的各方案排序变化,选出最优方案。实例应用表明,文中所提方法能有效解决用vague集表示的评价指标之间存在关联性和不确定性的黑启动多方案选优问题,思路清晰,算法简明,便于现场决策应用。

Abstract:

A vague set is a kind of fuzzy set that contains uncertainty. So uncertainty analysis is required in the application of it. To solve this problem, the proposed decision-making method of a black-start vague set is based on connection number analysis of set-pair. First, rewrite the expert weights, index weights and targeted values represented by vague sets into the connection number form. Next, obtain the decision model of a vague set for black-start based on connection number, analyze the uncertainty of the model calculations, study the changes in the ranking of each project in conditions of uncertainty and select the optimal project. Practical application shows that the method can deal with the problem of optimizing black-start schemes of the correlation and uncertainty in the selected evaluation indexes effectively and clearly. It is simple in algorithm and convenient to make decision on spot.