(2102-6510)利用有界格上的内算子和闭算子分别构造t-范数和t-合形

IF 1.9 4区数学 Q1 MATHEMATICS

Iranian Journal of Fuzzy Systems Pub Date : 2021-09-15 DOI:10.22111/IJFS.2021.6321

Emel Asici

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引用次数: 0

摘要

本文分别利用内部算子和闭包算子提出了有界格上三角形范数(t-范数)和三角形保形(t-保形)的构造方法。因此，我们得到了ertugrul、Karacal、Mesiar[15]和Cayli[8]等人提出的一些方法作为结果。此外，我们还给出了一些说明性的例子。最后，我们证明了所引入的构造方法不能通过归纳推广到有界格上t模和t形的修正序和。本文从数学的角度进一步构造了有界格上的t模和t形。

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(2102-6510) Constructing t-norms and t-conorms by using interior and closure operators on bounded lattices, respectively

In this paper, we propose construction methods for triangular norms (t-norms) and triangular conorms (t-conorms) on bounded lattices by using interior and closure operators, respectively. Thus, we obtain some proposed methods byErtugrul, Karacal, Mesiar [15] and Cayli [8] as results. Also, we give some illustrative examples. Finally, we show that the introduced construction methods can not be generalized by induction to a modified ordinal sum for t-norms andt-conorms on bounded lattices. This paper has further constructed the t-norms and t-conorms on bounded lattices from a mathematical viewpoint.

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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 Manuscripts submitted to the IJFS must be original unpublished work and should not be in consideration for publication elsewhere.