Neutrosophic δ-Open Maps and Neutrosophic δ-Closed Maps

A. Vadivel, C. John Sundar
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Abstract

The neutrosophic δ-open set is one of the strongest forms of neutrosophic topological spaces. In this article, we introduce the concept of neutrosophic δ-open maps and neutrosophic δ-closed maps and investigate their neighbor maps such as δS, δp & e* open maps and closed maps of neutrosophic topological spaces. Also, we analyze some of their related properties and extension to neutrosophic e*- homeomorphism and neutrosophic e* T½-space in neutrosophic topological spaces. Furthermore, these kinds of δ-open functions have strong application in the area of neural networks and image processing theory.
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嗜中性δ-开放图和嗜中性δ-封闭图
嗜中性δ开集是嗜中性拓扑空间的一种最强形式。在本文中,我们引入了嗜中性δ-开映射和嗜中性δ-闭映射的概念,并研究了它们的邻图如嗜中性拓扑空间的δS、δp & e*开映射和闭映射。此外,我们还分析了它们的一些相关性质以及在嗜中性拓扑空间中对嗜中性e*-同胚和嗜中性e* T½-空间的推广。此外,这类δ-开函数在神经网络和图像处理理论领域有很强的应用。
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