Construction methods for triangular norms and triangular conorms on appropriate bounded lattices

IF 1.9 4区数学 Q1 MATHEMATICS

Iranian Journal of Fuzzy Systems Pub Date : 2021-06-01 DOI:10.22111/IJFS.2021.6083

Emel Asici

引用次数: 5

Abstract

In this study, new methods to construct triangular norms and triangular conorms on appropriate bounded lattices are introduced. Some illustrative examples are given for clarity. Also, the relation between introduced methods and some other approaches is investigated. Finally, it is shown that the introduced construction methods can be generalized by induction to a modified ordinal sum for triangular norms and triangular conorms on appropriate bounded lattices. And some illustrative examples are given.

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适当有界格上三角范数和三角形的构造方法

本文介绍了在适当的有界格上构造三角范数和三角形的新方法。为了清楚起见，给出了一些说明性的例子。此外，还讨论了所引入的方法与其他方法的关系。最后，证明了所引入的构造方法可以归纳为适当有界格上三角模和三角形的修正序和。并给出了一些实例说明。

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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来源期刊

Iranian Journal of Fuzzy Systems 数学-数学

CiteScore

3.50

自引率

16.70%

发文量

期刊介绍： The two-monthly Iranian Journal of Fuzzy Systems (IJFS) aims to provide an international forum for refereed original research works in the theory and applications of fuzzy sets and systems in the areas of foundations, pure mathematics, artificial intelligence, control, robotics, data analysis, data mining, decision making, finance and management, information systems, operations research, pattern recognition and image processing, soft computing and uncertainty modeling. Manuscripts submitted to the IJFS must be original unpublished work and should not be in consideration for publication elsewhere.