Models and methods of decision making in fuzzy environment and their applications to power engineering problems

被引:15
作者
Canha, L.
Ekel, P.
Queiroz, J.
Neto, F. Schuffner
机构
[1] Pontificia Univ Catolica Minas Gerais, Grad Program Elect Engn, BR-30535610 Belo Horizonte, MG, Brazil
[2] Univ Fed Santa Maria, Dept Electromech & Power Syst, BR-97105900 Santa Maria, RS, Brazil
[3] Pontificia Univ Catolica Minas Gerais, Dept Elect Engn & Telecommun, BR-30535610 Belo Horizonte, MG, Brazil
[4] CEMIG Distribut SA, BR-30190131 Belo Horizonte, MG, Brazil
关键词
uncertainty factor; multicriteria optimization; Bellman-Zadeh approach; allocation of resources; fuzzy preference relations; power engineering problems;
D O I
10.1002/nla.520
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Results of research into the use of fuzzy sets for handling various forms of uncertainty in optimization problems are presented. Two types of situations which need the application of a multicriteria approach are classified. According to this, two classes of models (< X, M > and < X, R > models) are considered with utilizing the Bellman-Zadeh approach to decision making in a fuzzy environment and techniques for modelling of fuzzy preference relations for their analysis. The application of the Bellman-Zadeh approach for solving < X, M > problems conforms to the principle of guaranteed result and provides constructive lined, in obtaining harmonious solutions on the basis of analysing associated maxmin problems. Analysis of < X, R > models is considered as part of a general approach to solving problems with fuzzy coefficients. Three techniques for processing of fuzzy preferences relations are considered. The first technique is associated with building and analysing a membership function of a subset of non-dominated alternatives considering all criteria simultaneously. The second technique is of a lexicographic character and consists in step by-step consideration of criteria. The third technique is based on aggregating membership functions of subsets of non-dominated alternatives for each criterion. The results of the paper are universally applicable and are already being used to solve power engineering problems. It is illustrated by considering problems of multicriteria power and energy shortage allocation, multicriteria power system operation, and substation planning with considering criteria of quantitative as well as of qualitative character. Copyright (c) 2007 John Wiley & Sons, Ltd.
引用
收藏
页码:369 / 390
页数:22
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