On the characterizations of (S, N)-implications

Michal Baczynski; Balasubramaniam Jayaram

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On the characterizations of (S, N)-implications

机译：关于（S，N）蕴涵的刻画

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The characterization of S-implications generated from strong negations presented firstly by Trillas and Valverde in 1985 is well-known in the literature. In this paper we show that some assumptions are needless and present two characterizations of S-implications with mutually independent requirements. We also present characterizations of (S, N)-implications obtained from continuous fuzzy negations or strict negations. Besides these main results some new facts concerning fuzzy implications, fuzzy negations and laws of contraposition are proved.

机译：1985年Trillas和Valverde首次提出强反演产生的S蕴涵的特征在文献中是众所周知的。在本文中，我们证明了一些假设是不必要的，并给出了具有相互独立要求的S蕴涵的两个特征。我们还介绍了从连续模糊否定或严格否定获得的（S，N）蕴涵的特征。除了这些主要结果外，还证明了一些有关模糊含义，模糊否定和对立规律的新事实。

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来源
《Fuzzy sets and systems》 |2007年第15期|p.1713-1727|共15页
作者
Michal Baczynski; Balasubramaniam Jayaram;
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作者单位

Institute of Mathematics, University of Silesia, 40-007 Katowice, ul. Bankowa 14, Poland;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类模糊数学;
关键词
(S, N)-implication; S-implication; fuzzy implication; fuzzy negation; laws of contraposition; triangular conorm;

机译：（S;N）-蕴涵;S-蕴涵;模糊蕴涵;模糊否定;对立律;三角锥;

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On the characterizations of (S, N)-implications

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