基于拟联结和模糊否定的模糊含义

Journal of Nonlinear Sciences and Applications Pub Date : 2023-07-31 DOI:10.22436/jnsa.016.02.03

G. Souliotis, M. Rassias, B. Papadopoulos

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引用次数: 0

摘要

本文研究了模糊蕴涵与概率论基本概念，如联结、拟联结和半联结的联系。本研究表明，通过copula、准copula或半copula产生的模糊含义，除了具有常数为1的Lipschitz条件的共同特征外，这一特征也是根据原始生成器(非copula、准copula或半copula)对模糊含义进行分组的基础。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Fuzzy implications based on quasi-copula and fuzzy negations

In this particular paper the connection of fuzzy implications to the basic concepts of probability theory such as copula, quasi-copula and semi-copula is being studied. This study showed that fuzzy implications produced through copula, quasi-copula or semi-copula, apart from having as a common characteristic the Lipschitz condition with constant 1, this characteristic is also the cornerstone for grouping fuzzy implications according to the original generator which is no other than a copula, quasi-copula or semi-copula.

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Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

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期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.