One-dimensional indistinguishability operators

被引：8
|
作者：
Jacas, J [1 ]
Recasens, J [1 ]
机构：
[1] Univ Politecn Catalunya, ETSABV, Sec Matemat & Informat, Barcelona 08190, Spain
来源：
FUZZY SETS AND SYSTEMS | 2000年 / 109卷 / 03期
关键词：
T-indistinguishability operator; Archimedean t-norm; fuzzy relation; dimension of a T-indistinguishability operator;
D O I：
10.1016/S0165-0114(98)00245-0
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The main result of the paper is an algorithm that allows us to decide when a given fuzzy relation is a one-dimensional T-indistinguishability operator for some archimedean t-norm T (in the sense of the Representation Theorem of Valverde (Fuzzy Sets and Systems 17 (1985) 313-328)). The algorithm also finds all t-norms with this property. (C) 2000 Elsevier Science B.V. All rights reserved.
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页码：447 / 451
页数：5
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