Convexity conditions on t-norms and their additive generators

被引：7
作者：
Ricci, RG [1 ]
Navara, M
机构：
[1] Univ Sassari, DEIR, I-07100 Sassari, Italy
[2] Czech Tech Univ, Fac Elect Engn, Dept Cybernet, Ctr Machine Percept, Prague 16627, Czech Republic
来源：
FUZZY SETS AND SYSTEMS | 2005年 / 151卷 / 02期
关键词：
t-norm; additive generator; convexity;
D O I：
10.1016/j.fss.2004.05.005
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Let T be an Archimedean (continuous) t-norm and alpha is an element of]0, 1/2[. Fodor and Ovchinnikov have studied a relation 2 between the inequality T(max(x - alpha, 0), min(x + alpha, 1)) less than or equal to T(x, x) and the convexity of the additive generator of T. Here we clarify this relation and answer open problems from previous studies. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：353 / 361
页数：9
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