Metrics and orders in space of fuzzy numbers

被引：144

作者：

Grzegorzewski, P

机构：

[1] Polish Acad Sci, Syst Res Inst, PL-01447 Warsaw, Poland

[2] Warsaw Univ Technol, Inst Math, PL-00661 Warsaw, Poland

来源：

FUZZY SETS AND SYSTEMS | 1998年 / 97卷 / 01期

关键词：

decision making; fuzzy numbers; metrics; ranking fuzzy numbers;

D O I：

10.1016/S0165-0114(96)00322-3

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Two classes of metrics delta(p,q) and rho(p), where 1 less than or equal to p less than or equal to infinity, 0 less than or equal to 1 less than or equal to 1, in space of fuzzy numbers are introduced. Then a method of ranking fuzzy numbers based on these metrics is proposed and investigated. Not only fuzzy numbers but also the left-sided and right-sided fuzzy numbers are considered. Applications in making decisions and statistics are suggested. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：83 / 94

页数：12

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