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(U,N)-implications and their characterizations

机译：（U，N）-蕴涵及其表征

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摘要

Recently, we have presented characterizations of (S.N)-implications generated from t-conorms and continuous (strict, strong) negations. Uninorms were introduced by Yager and Rybalov in 1996 as a generalization of t-norms and t-conorms, thus they are another fertile source based on which one can define fuzzy implications. (U.N)-implications are a generalization of (S,N)-implications, where a t-conorm S is replaced by a (disjunctive) uninorm U. In this work we present characterizations of (U,N)-implications obtained from disjunctive uninorms and continuous negations as well as (U.N)-operations defined from uninorms and continuous negations.
机译：最近，我们已经提出了从t型锥和连续（严格，强）求反产生的（S.N）蕴涵的表征。 Yanor和Rybalov在1996年引入了Uninorm，作为对t-norm和t-conorms的泛化，因此它们是另一种可用于定义模糊含义的丰富来源。 （UN）蕴涵是（S，N）蕴涵的推广，其中将t-conorm S替换为（析取的）单数U.单项和连续否定以及从单项和连续否定中定义的（UN）操作。

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  • 来源
    《Fuzzy sets and systems》 |2009年第14期|2049-2062|共14页
  • 作者

    Michal Baczynski; Balasubramaniam Jayaram;

  • 作者单位

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

    Department of Mathematics and Computer Sciences, Sri Sathva Sai University, Prasanthi Nilavam, Andhra Pradesh 515134, India Department of Mathematics, Faculty of Civil Engineering, Slovak University of Technology, Radiinskeho II, 8I368 Bratislava, Slovakia;

  • 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
  • 关键词

    fuzzy connectives; fuzzy implication; fuzzy negation; (U,N)-implication; (S,N)-implication; uninorm;

    机译：模糊连接词;模糊蕴涵;模糊否定;（U;N）-蕴涵;（S;N）-蕴涵;统一;

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