Comparison of fuzzy numbers using a fuzzy distance measure

被引:349
作者
Tran, L
Duckstein, L
机构
[1] Penn State Univ, Ctr Integrated Reg Assessment, University Pk, PA 16802 USA
[2] Ecole Natl Genie Rural Eaux & Forets, F-75732 Paris 15, France
关键词
fuzzy numbers; fuzzy ranking; distance measure;
D O I
10.1016/S0165-0114(01)00195-6
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
A new approach for ranking fuzzy numbers based on a distance measure is introduced. A new class of distance measures for interval numbers that takes into account all the points in both intervals is developed first, and then it is used to formulate the distance measure for fuzzy numbers. The approach is illustrated by numerical examples, showing that it overcomes several shortcomings such as the indiscriminative and counterintuitive behavior of several existing fuzzy ranking approaches. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:331 / 341
页数:11
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