有序bci -代数中的直觉模糊有序子代数

IF 1 Q1 MATHEMATICS

European Journal of Pure and Applied Mathematics Pub Date : 2023-07-30 DOI:10.29020/nybg.ejpam.v16i3.4832

E. Roh, Eunsuk Yang, Y. Jun

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引用次数: 1

摘要

本文在直觉模糊点的意义上将直觉模糊集的概念应用于有序BCI-代数中的有序子代数。在有序BCI-代数中引入了直觉模糊（有序）子代数的概念，并研究了一些相关性质。我们给出了直觉模糊有序子代数和直觉模糊子代数之间的关系。给出了一个直觉模糊（有序）子代数的刻画。最后，我们给出了直觉模糊集的$q_{（t，s）}$级集与直觉模糊序子代数之间的关系。

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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Intuitionistic Fuzzy Ordered Subalgebras in Ordered BCI-algebras

In this paper, we apply the concept of an intuitionistic fuzzy set to ordered subalgebras in ordered BCI-algebras in the sense of intuitionistic fuzzy point. We introduce the notion of an intuitionistic fuzzy (ordered) subalgebra in ordered BCI-algebras, and investigate some related properties. We provide relations between an intuitionistic fuzzy ordered subalgebra and an intuitionistic fuzzy subalgebra. We give characterizations of an intuitionistic fuzzy (ordered) subalgebra. Finally, we provide relations between a $q_{(t,s)}$-level set of intuitionistic fuzzy set and an intuitionistic fuzzy ordered subalgebra.

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来源期刊

European Journal of Pure and Applied Mathematics MATHEMATICS-

CiteScore

1.30

自引率

28.60%

发文量

156