COMPARISON OF 2 METHODS FOR DETERMINING THE WEIGHTS OF BELONGING TO FUZZY-SETS

被引：298

作者：

CHU, ATW ^{[1
]}

KALABA, RE ^{[1
]}

SPINGARN, K ^{[1
]}

机构：

[1] HUGHES AIRCRAFT CO,SPACE & COMM GRP,LOS ANGELES,CA 90009

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1979年 / 27卷 / 04期

关键词：

eigenvectors; Fuzzy sets; relative weight matrix; weighted least squares;

D O I：

10.1007/BF00933438

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Saaty has solved a basic problem in fuzzy set theory using an eigenvector method to determine the weights of belonging of each member to the set. In this paper, a weighted least-square method is utilized to obtain the weights. This method has the advantage that it involves the solution of a set of simultaneous linear algebraic equations and is thus conceptually easier to understand than the eigenvector method. Examples are given for estimating the relative wealth of nations and the relative amount of foreign trade of nations. Numerical solutions are obtained using both the eigenvector method and the weighted least-square method, and the results are compared. © 1979 Plenum Publishing Corporation.

引用

页码：531 / 538

页数：8