A comparative study of adjoint triples

M. Eugenia Comejo; Jesus Medina; Eloisa Ramirez

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A comparative study of adjoint triples

机译：伴随三元组的比较研究

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摘要

Adjoint triples are helpful as basic operators used in several domains. For example, adjoint triples play an important role in two important frameworks: multi-adjoint logic programming and multi-adjoint concept lattices. This paper shows that adjoint triples are an interesting generalization of t-norms and their residuated implications, since they preserve their main properties as well as they help to increase the flexibility of the operators used for computation in the considered framework. Furthermore, these operators will be related to other important general triples, specifically implication triples, and the definition of these latter operators will be improved.

机译：伴随三元组作为在多个域中使用的基本运算符很有用。例如，伴随三元组在两个重要框架中发挥重要作用：多伴随逻辑编程和多伴随概念格。本文表明，伴随三元组是t范数及其剩余含义的有趣概括，因为它们保留了其主要属性，并且有助于提高所考虑框架中用于计算的运算符的灵活性。此外，这些运算符将与其他重要的通用三元组相关，尤其是蕴涵三元组，并且将改进这些后面的运算符的定义。

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来源
《Fuzzy sets and systems》 |2013年第16期|1-14|共14页
作者
M. Eugenia Comejo; Jesus Medina; Eloisa Ramirez;
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作者单位

Department of Mathematics, University of Cadiz, Spain;

Department of Mathematics, University of Cadiz, Spain;

Department of Mathematics, University of Cadiz, Spain;

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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
关键词
adjoint triples; implication triples; triangular norms; residuated implications;

机译：伴随三元组;蕴涵三倍;三角规范剩余的含义;

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A comparative study of adjoint triples

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