Characterizing Some Types of Uninorms on Bounded Lattices

IF 1 4区计算机科学 Q4 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

International Journal of Uncertainty Fuzziness and Knowledge-Based Systems Pub Date : 2023-08-01 DOI:10.1142/s0218488523500253

Huayan Wen, Xinxing Wu, G. Çayli

引用次数: 0

Abstract

Uninorms, as important generalizations of triangular norms and conorms, let the identity [Formula: see text] exist anywhere on a bounded lattice. In this paper, we focus on new characterizations of uninorms allowed to act on more general bounded lattices. In particular, we present several necessary and sufficient conditions to verify the construction approaches introduced by (Çaylı and Karaçal, Kybernetika 53 (2017) 394–417) and (Çaylı, Fuzzy Sets Syst. 395 (2020) 107–129), yielding a uninorm on bounded lattices.

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有界格上几种一致信息的刻画

作为三角规范和三角规范的重要推广，一致规范让恒等式[公式:见文本]存在于有界晶格上的任何地方。在本文中，我们关注于允许作用于更一般的有界格上的一致信息的新特征。特别是，我们提出了几个必要和充分条件来验证(Çaylı和kara al, Kybernetika 53(2017) 394-417)和(Çaylı，模糊集系统395(2020)107-129)引入的构造方法，在有界格上产生均匀性。

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

International Journal of Uncertainty Fuzziness and Knowledge-Based Systems 工程技术-计算机：人工智能

CiteScore

2.70

自引率

0.00%

发文量

审稿时长

13.5 months

期刊介绍： The International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems is a forum for research on various methodologies for the management of imprecise, vague, uncertain or incomplete information. The aim of the journal is to promote theoretical or methodological works dealing with all kinds of methods to represent and manipulate imperfectly described pieces of knowledge, excluding results on pure mathematics or simple applications of existing theoretical results. It is published bimonthly, with worldwide distribution to researchers, engineers, decision-makers, and educators.