On the direct decomposability of t-norms on product lattices

被引：46

作者：

Jenei, S

De Baets, B

机构：

[1] Univ Pecs, Inst Math & Informat, H-7624 Pecs, Hungary

[2] Univ Ghent, Dept Appl Math Biometr & Proc Control, B-9000 Ghent, Belgium

来源：

FUZZY SETS AND SYSTEMS | 2003年 / 139卷 / 03期

关键词：

partially ordered monoid; product lattice; residuated lattice; t-norm;

D O I：

10.1016/S0165-0114(03)00125-8

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, a method is presented for constructing t-norms on product lattices (in other words: commutative partially ordered integral monoids over product lattices) which are not direct products. The method is fairly general and allows to generate a broad class of such t-norms. This solves an open problem posed in 1999 by De Baets and Mesiar. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：699 / 707

页数：9