Relevant bibliographies by topics / Neutrosophic Crisp Open Set

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Academic literature on the topic 'Neutrosophic Crisp Open Set'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Neutrosophic Crisp Open Set"

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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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Salama, A. A., Said Broumi, and Florentin Smarandache. "Neutrosophic Crisp Open Set and Neutrosophic Crisp Continuity via Neutrosophic Crisp Ideals." International Journal of Information Engineering and Electronic Business 6, no. 3 (2014): 1–8. http://dx.doi.org/10.5815/ijieeb.2014.03.01.

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Riad, K. Al-Hamido. "Neutrosophic Crisp Bi-Topological Spaces." Neutrosophic Sets and Systems 21 / 2018 (September 4, 2018): 66–73. https://doi.org/10.5281/zenodo.1408696.

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In this paper, neutrosophic crisp bi-topological spaces, new types of open and closed sets in neutrosophic crisp bitopological spaces, the closure and interior neutrosophic crisp set and a new concept of open and closed sets are introduced. The basic properties of these types of open and closed sets and their properties are studied.
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Vadivel, A., та C. John Sundar. "Nnc δ-OPEN SETS". South East Asian J. of Mathematics and Mathematical Sciences 18, № 03 (2022): 207–16. http://dx.doi.org/10.56827/seajmms.2022.1803.17.

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A new strong forms of sets called N -neutrosophic crisp δ-open sets and N -neutrosophic crisp δ-closed sets in N -neutrosophic crisp topological space are introduced in this article. Also, discuss their properties and examples are related to N -neutrosophic crisp δ open sets along with their near sets in N -neutrosophic crisp topological spaces.
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A., A. Salama. "Basic Structure of Some Classes of Neutrosophic Crisp Nearly Open Sets & Possible Application to GIS Topology." July 1, 2015. https://doi.org/10.5281/zenodo.22438.

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Since the world is full of indeterminacy, the neutrosophics found their place into contemporary research. The fundamental concepts of neutrosophic set, introduced by Smarandache and Salama. In Geographical information systems (GIS) there is a need to model spatial regions with indeterminate boundary and under indeterminacy. In this paper the structure of some classes of neutrosophic crisp nearly open sets are investigated and some applications are given. Finally we generalize the crisp topological and intuitioistic studies to the notion of neutrosop
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A., A. Salama, Broumi Said, and Smarandache Florentin. "Neutrosophic Crisp Open Set and Neutrosophic Crisp Continuity via Neutrosophic Crisp Ideals." February 19, 2013. https://doi.org/10.5281/zenodo.30215.

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The focus of this paper is to propose a new notion of neutrosophic crisp sets via neutrosophic crisp ideals and to study some basic operations and results in neutrosophic crisp topological spaces. Also, neutrosophic crisp L-openness and neutrosophic crisp L- continuity are considered as a generalizations for a crisp and fuzzy concepts. Relationships between the above new neutrosophic crisp notions and the other relevant classes are investigated. Finally, we define and study two different types of neutrosophic crisp functions.
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Ahmed, B. AL-Nafee, Smarandache Florentin, and A. Salama A. "New Types of Neutrosophic Crisp Closed Sets." October 4, 2020. https://doi.org/10.5281/zenodo.4065428.

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  "The neutrosophic sets were known since 1999, and because of their wide applications and their great flexibility to solve the problems, we used these the concepts to define a new types of neutrosophic crisp closed sets and limit points in neutrosophic crisp topological space, namly [neutrosophic crisp Gem sets and neutrosophic crisp Turig points ] respactvely, we stady their properties in details and join it with topological concepts. Finally we used [neutrosophic crisp Gem sets and neutrosophic crisp Turig points] to introduce the some of topological concepts as : neutrosophic cri
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K., Tharani, та Kokilavani V. "On Neutrosophic Crisp g#α Closed Set Operators". 10 вересня 2024. https://doi.org/10.5281/zenodo.13989234.

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The concept of g#α closed set in general topological spaces was first introduced by MuthukumaraswamyK et. al.,. Recently, kokilavani V, Tharani K et. al., introduced neutrosophic crisp g#α closed setin neutrosophic crisp topological space. Now, in this present paper, we introduced and study the neutrosophiccrisp topological properties of neutrosophic crisp g#α interior, neutrosophic crisp g#α closure, neutrosophiccrisp g#α frontier, neutrosophic crisp g#α border, neutrosophic crisp g#α exterior via the concept of neutrosophiccrisp g#α open set.
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Al-Hamido, Riad K. Al. "ON Neutrosophic Crisp Supra Bi-Topological Spaces." International Journal of Neutrosophic Science, 2020, 36–46. http://dx.doi.org/10.54216/ijns.040104.

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In this paper, neutrosophic crisp supra bi-topological structure, which is a more general structure than neutrosophic crisp supra topological spaces, is built on neutrosophic crisp sets. The necessary arguments which are pairwise neutrosophic crisp supra open set, pairwise neutrosophic crisp supra closed set, pairwise neutrosophic crisp supra closure, pairwise neutrosophic crisp supra interior is defined, and their basic properties are presented. Finally, many examples are presented.
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Al-Hamido, Riad K. Al, Luai Salha, and Taleb Gharibah. "Pre Separation Axioms In Neutrosophic Crisp Topological Spaces." International Journal of Neutrosophic Science, 2020, 72–79. http://dx.doi.org/10.54216/ijns.080201.

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In this paper, A new type of separation axioms in the neutrosophic crisp Topological space named neutrosophic crisp pre separation axioms is going to be defined , in which neutrosophic crisp pre open set and neutrosophic crisp point are to be depended on. Also, relations among them and the other type are going to be found.
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Book chapters on the topic "Neutrosophic Crisp Open Set"

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Pratihar, Jayanta, Ranjan Kumar, Arindam Dey, and Said Broumi. "Transportation Problem in Neutrosophic Environment." In Advances in Data Mining and Database Management. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-1313-2.ch007.

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The transportation problem (TP) is popular in operation research due to its versatile applications in real life. Uncertainty exists in most of the real-life problems, which cause it laborious to find the cost (supply/demand) exactly. The fuzzy set is the well-known field for handling the uncertainty but has some limitations. For that reason, in this chapter introduces another set of values called neutrosophic set. It is a generalization of crisp sets, fuzzy set, and intuitionistic fuzzy set, which is handle the uncertain, unpredictable, and insufficient information in real-life problem. Here c
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Ali, Mumtaz, Florentin Smarandache, and Luige Vladareanu. "Neutrosophic Sets and Logic." In Emerging Research on Applied Fuzzy Sets and Intuitionistic Fuzzy Matrices. IGI Global, 2017. http://dx.doi.org/10.4018/978-1-5225-0914-1.ch002.

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Neutrosophic sets and Logic plays a significant role in approximation theory. It is a generalization of fuzzy sets and intuitionistic fuzzy set. Neutrosophic set is based on the neutrosophic philosophy in which every idea Z, has opposite denoted as anti(Z) and its neutral which is denoted as neut(Z). This is the main feature of neutrosophic sets and logic. This chapter is about the basic concepts of neutrosophic sets as well as some of their hybrid structures. This chapter starts with the introduction of fuzzy sets and intuitionistic fuzzy sets respectively. The notions of neutrosophic set are
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T., Madhumathi, and F. Nirmala Irudayam. "NEUTROSOPHIC CHAOTIC B-CLOSED SET IN NEUTROSOPHIC CHAOTIC TOPOLOGICAL SPACE." In Recent Trends in Fuzzy Set Theory and its Applications. Iterative International Publishers, Selfypage Developers Pvt Ltd, 2024. http://dx.doi.org/10.58532/nbennurch279.

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This article focuses on devising the novel idea of framing a b-open set in neutrosophic chaotic topological space. We further devote this article to the study of the properties posed by this newly developed set suitable examples are provided as and when required
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Basumatary, Bhimraj, Jeevan Krishna Khaklary, Nijwm Wary, and Florentin Smarandache. "On Neutro-Topological Spaces and Their Properties." In Advances in Computer and Electrical Engineering. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-6684-3495-6.ch011.

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There is a lot of ambiguous information in the real world that crisp values can't manage. The fuzzy set theory was proposed by Zadeh. It is an age-old and excellent tool for dealing with uncertain information. As a result, intuitionistic fuzzy set theory was suggested. However, these theories are incapable of dealing with all forms of uncertainty, such as indeterminate and inconsistent data in various decision-making situations. To address this shortfall, Smarandache proposed the neutrosophic set theory by introducing a degree of indeterminacy as an independent component. In this current decad
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Karpagadevi, M., S. Gomathi, A. Revathy, S. Krishnaprakash, and Ramesh Ramasamy. "On Cubic Spherical Neutrosophic Continuity." In Advances in Computer and Electrical Engineering. IGI Global, 2024. https://doi.org/10.4018/979-8-3693-6875-6.ch009.

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This paper introduces the concept of cubic spherical neutrosophic continuous mapping in a cubic spherical neutrosophic topological framework. A cubic spherical neutrosophic set is defined in a universe with elements mapped to a triplet representing degrees of membership, indeterminacy, and non-membership within a sphere of radius. We extend this structure to develop Cubic Spherical Neutrosophic Topological Spaces (CSNTSs), where the topology is defined by cubic spherical neutrosophic open and closed sets. The paper presents cubic spherical neutrosophic continuous mappings and Hausdorff propert
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Basumatary, Bhimraj, Jili Basumatary, and Nijwm Wary. "Formulae for Finding the Number of NeutroTopological Spaces." In NeutroGeometry, NeutroAlgebra, and SuperHyperAlgebra in Today's World. IGI Global, 2023. http://dx.doi.org/10.4018/978-1-6684-4740-6.ch010.

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There is a relation between classical topological space and NeutroTopological space. Every classical topological space generates a NeutroTopological space, and every anti-topological space generates a NeutroTopological space. According to NeutroTopological spaces, NeutroTopological spaces have a broader structure. Thus, the neutrosophic theory's (T, I, F) components are added to traditional topological space, yielding a new structure. Topology is a branch of mathematics that works with particular definitions for spatial structure notions, compares them, and analyses the relationships between t
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Journal articles
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