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Relevant bibliographies by topics / Neutrosophic Crisp Topology

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Academic literature on the topic 'Neutrosophic Crisp Topology'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Neutrosophic Crisp Topology"

1

Venish, A. G. Rose, L. Vidyarani, and M. M.Vigneshwaran. "On Binary Neutrosophic Crisp Points And Binary Neutrosophic Neighborhoods." Journal of Neutrosophic and Fuzzy Systems 5, no. 1 (2022): 15–22. http://dx.doi.org/10.54216/jnfs.050102.

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As a generalization of crisp topology, neutrosophic crisp topology was introduced. As a progression, binary neutrosophic crisp sets were introduced in this article and their properties were also studied. With the idea that neutrosophic crisp points forms the basis for the neutrosophic neighborhood structures, new points namely binary neutrosophic crisp points were introduced in this article. Owing to the new points, binary neutrosophic neighborhood structure in the new space named as binary neutrosophic crisp topological space is framed. Eventually properties of binary neutrosophic crisp neigh

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2

Al-Hamido, Riad K. Al. "New Operators Using Neutrosophic Crisp Open Set." International Journal of Neutrosophic Science 20, no. 1 (2023): 17–26. http://dx.doi.org/10.54216/ijns.200102.

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In this paper, we introduce new sets in neutrosophic crisp topology called neutrosophic crisp frontier, neutrosophic crisp border and neutrosophic crisp exterior with the help of neutrosophic crisp open sets in neutrosophic crisp topological space. Also, we discuss the basic and important properties of them and the relations between them. Finally, many examples are presented.

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3

Doaa, Doaa, and L. A. A. Al Al-Swidi. "Stable Neutrosophic Crisp Topological Space." International Journal of Neutrosophic Science 24, no. 1 (2024): 154–59. http://dx.doi.org/10.54216/ijns.230411.

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The significance and influence of neutrosophic crisp set theory in numerous scientific domains, particularly topology, led us to construct a new definition of topology based on neutrosophic crisp sets, allowing us to regulate its key mathematical ideas. Therefore, we constructed this definition and dubbed it stable neutrosophic crisp topology, where we went over the key idea which is the interior with the vital features.

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4

Jo, Dongsik, S. Saleh, Jeong-Gon Lee, Kul Hur, and Chen Xueyou. "Topological Structures via Interval-Valued Neutrosophic Crisp Sets." Symmetry 12, no. 12 (2020): 2050. http://dx.doi.org/10.3390/sym12122050.

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In this paper, we introduce the new notion of interval-valued neutrosophic crisp sets providing a tool for approximating undefinable or complex concepts in real world. First, we deal with some of its algebraic structures. We also define an interval-valued neutrosophic crisp (vanishing) point and obtain some of its properties. Next, we define an interval-valued neutrosophic crisp topology, base (subbase), neighborhood, and interior (closure), respectively and investigate some of each property, and give some examples. Finally, we define an interval-valued neutrosophic crisp continuity and quotie

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5

Smarandache, Florentin. "Foundation of Revolutionary Topologies: An Overview, Examples, Trend Analysis, Research Issues, Challenges, and Future Directions." Neutrosophic Systems with Applications 13 (December 31, 2023): 45–66. http://dx.doi.org/10.61356/j.nswa.2024.125.

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We now found nine new topologies, such as: NonStandard Topology, Largest Extended NonStandard Real Topology, Neutrosophic Triplet Weak/Strong Topologies, Neutrosophic Extended Triplet Weak/Strong Topologies, Neutrosophic Duplet Topology, Neutrosophic Extended Duplet Topology, Neutrosophic MultiSet Topology, and recall and improve the seven previously founded topologies in the years (2019-2023), namely: NonStandard Neutrosophic Topology, NeutroTopology, AntiTopology, Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, SuperHyperTopology, and Neutrosophic SuperHyperTopology. They

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6

Smarandache, Florentin. "New Types of Topologies and Neutrosophic Topologies." Neutrosophic Systems with Applications 1 (January 9, 2023): 1–3. http://dx.doi.org/10.61356/j.nswa.2023.1.

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In this paper, we recall the six new types of topologies that we introduced in the last years (2019-2022), such as: Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, NeutroTopology, AntiTopology, SuperHyperTopology, and Neutrosophic SuperHyperTopology. 

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7

Ullah, Atta, Javid Shabbir, Abdullah Muhammad Alomair, and Muhammad Ahmed Alomair. "Ratio-Type Estimator for Estimating the Neutrosophic Population Mean in Simple Random Sampling under Intuitionistic Fuzzy Cost Function." Axioms 12, no. 9 (2023): 890. http://dx.doi.org/10.3390/axioms12090890.

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Survey sampling has a wide range of applications in biomedical, meteorological, stock exchange, marketing, and agricultural research based on data collected through sample surveys or experimentation. The collected set of information may have a fuzzy nature, be indeterminate, and be summarized by a fuzzy number rather than a crisp value. The neutrosophic statistics, a generalization of fuzzy statistics and classical statistics, deals with the data that have some degree of indeterminacy, imprecision, and fuzziness. In this article, we introduce a fuzzy decision-making approach for deciding a sam

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8

Salama, A. A., Florentin Smarandache, and Valeri Kroumov. "Neutrosophic Crisp Sets & Neutrosophic Crisp Topological Spaces." Neutrosophic Sets and Systems 2, 2014 (May 4, 2014). https://doi.org/10.5281/zenodo.571502.

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In this paper, we generalize the crisp topological spaces to the notion of neutrosophic crisp topological space, and we construct the basic concepts of the neutrosophic crisp topology. In addition to these, we introduce the definitions of neutrosophic crisp continuous function and neutrosophic crisp compact spaces. Finally, some characterizations concerning neutrosophic crisp compact spaces are presented and one obtains several properties. Possible application to GIS topology rules are touched upon.

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9

Salama, A. A. "Neutrosophic Crisp Points & Neutrosophic Crisp Ideals." July 1, 2015. https://doi.org/10.5281/zenodo.22577.

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The purpose of this paper is to define the so called "neutrosophic crisp points" and "neutrosophic crisp ideals", and obtain their fundamental properties. Possible applicationbbto GIS topology rules are touched upon.

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10

A., A. Salama, Smarandache Florentin, and Kroumov Valeri. "Neutrosophic Crisp Sets & Neutrosophic Crisp Topological Spaces." March 1, 2015. https://doi.org/10.5281/zenodo.30216.

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In this paper, we generalize the crisp topological space to the notion of neutrosophic crisp topological space, and we construct the basic concepts of the neutrosophic crisp topology. In addition to these, we introduce the de nitions of neutrosophic crisp continuous function and neutrosophic crisp compact spaces. Finally, some characterizations concerning neutrosophic crisp compact spaces are presented and one obtains several properties. Possible application to GIS topology rules are touched upon.

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