L-fuzzy拟接近算子与L-fuzzy闭包(内)算子的关系

IF 0.7 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

New Mathematics and Natural Computation Pub Date : 2023-11-10 DOI:10.1142/s1793005724500431

Ahmed A Ramadan

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引用次数: 0

摘要

本文的主要目的是研究[公式:见文]-模糊拟邻近空间、[公式:见文]-模糊闭包空间和[公式:见文]-模糊内空间之间的一种新的关系及其性质，其中[公式:见文]是完全残馀格。此外，还研究了[公式:见文]-模糊拟接近空间、[公式:见文]-模糊封闭空间和[公式:见文]-模糊内空间之间的伽罗瓦连接。通过模糊信息系统的实例验证了所提方法的可行性。

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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Relationship between L-fuzzy quasi-proximity and L-fuzzy closure(interior) operators

The main purpose of this paper is to study a new relationship among [Formula: see text]-fuzzy quasi-proximity spaces, [Formula: see text]-fuzzy closure spaces and [Formula: see text]-fuzzy interior spaces and their properties are considered, where [Formula: see text] is a complete residuated lattice. Moreover, the Galois connections between [Formula: see text]-fuzzy quasi-proximity spaces, [Formula: see text]-fuzzy closure spaces and [Formula: see text]-fuzzy interior spaces are investigated. We present an example through fuzzy information system which confirms the feasibility of using the proposed approaches.

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来源期刊

New Mathematics and Natural Computation MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.70

自引率

10.00%

发文量