Generalized π -weak closed sets and some applications on weak structures

R. A. Hosny, T. Al-shami, R. Abu-Gdairi, A. Mhemdi
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引用次数: 0

Abstract

This article highlights the concept of generalized π -weak closed sets (briefly, gπ ( w ) -closed) in weak structures, that possess a lot of applications in information systems. We study their master properties and show the interrelationships between them and some types of sets with the help of counterexamples. Then, we applied gπ ( w ) -closed sets to define new types of the concepts of separation axioms, continuous functions, closed w -graph and strongly closed w -graph. We give some characterizations of these concepts and discuss main features. Moreover, we provide some examples to show some topological properties of these concepts that are losing in the frame of weak structures
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广义π-弱闭集及其在弱结构上的一些应用
这篇文章强调了弱结构中广义π-弱闭集(briefly,gπ(w)-闭)的概念,它在信息系统中有很多应用。我们研究了它们的主性质,并借助反例展示了它们与某些类型集合之间的相互关系。然后,我们应用gπ(w)-闭集定义了分离公理、连续函数、闭w图和强闭w图的新概念。我们给出了这些概念的一些特征,并讨论了它们的主要特征。此外,我们还提供了一些例子来证明这些概念在弱结构框架中丢失的一些拓扑性质
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CiteScore
3.10
自引率
4.00%
发文量
77
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