可计算的软分离公理

IF 0.4 4区计算机科学 Q4 COMPUTER SCIENCE, THEORY & METHODS

Mathematical Structures in Computer Science Pub Date : 2023-10-12 DOI:10.1017/s0960129523000336

S. M. Elsayed, Keng Meng Ng

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引用次数: 0

摘要

软集作为一种研究非绝对定义对象的方法被引入，并在数学、决策理论和统计应用的许多领域中得到了应用。软拓扑空间首先在Shabir和Naz(2011)中被考虑。电脑,El-Shafei et al.(2018)研究了软拓扑空间的软分离公理和应用数学61(7)1786-1799。Filomat 32 (13) 4755-4771)， El-Shafei和Al-Shami(2020)。[3]杨建军，杨建军，李建军。计算与应用数学39(3):1-17)。工程数学问题(2021)。本文介绍了软分离公理的有效版本。具体来说，我们关注可计算u-soft和可计算p-soft分离公理，并研究它们之间的各种关系。我们还比较了这些软分离公理的有效版本和经典版本。

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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Computable soft separation axioms

Abstract Soft sets were introduced as a means to study objects that are not defined in an absolute way and have found applications in numerous areas of mathematics, decision theory, and in statistical applications. Soft topological spaces were first considered in Shabir and Naz ((2011). Computers & Mathematics with Applications 61 (7) 1786–1799) and soft separation axioms for soft topological spaces were studied in El-Shafei et al. ((2018). Filomat 32 (13) 4755–4771), El-Shafei and Al-Shami ((2020). Computational and Applied Mathematics 39 (3) 1–17), Al-shami ((2021). Mathematical Problems in Engineering 2021 ). In this paper, we introduce the effective versions of soft separation axioms. Specifically, we focus our attention on computable u-soft and computable p-soft separation axioms and investigate various relations between them. We also compare the effective and classical versions of these soft separation axioms.

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来源期刊

Mathematical Structures in Computer Science 工程技术-计算机：理论方法

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： Mathematical Structures in Computer Science is a journal of theoretical computer science which focuses on the application of ideas from the structural side of mathematics and mathematical logic to computer science. The journal aims to bridge the gap between theoretical contributions and software design, publishing original papers of a high standard and broad surveys with original perspectives in all areas of computing, provided that ideas or results from logic, algebra, geometry, category theory or other areas of logic and mathematics form a basis for the work. The journal welcomes applications to computing based on the use of specific mathematical structures (e.g. topological and order-theoretic structures) as well as on proof-theoretic notions or results.