Log in

Relevant bibliographies by topics / Neutrosophic Crisp Topology / Journal articles

To see the other types of publications on this topic, follow the link: Neutrosophic Crisp Topology.

Journal articles on the topic 'Neutrosophic Crisp Topology'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 26 journal articles for your research on the topic 'Neutrosophic Crisp Topology.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

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.

Full text

Abstract:

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

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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. 

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

9

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

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

11

Riad, K. Al-Hamido, Gharibah T., Jafari S., and Smarandache Florentin. "On Neutrosophic Crisp Topology via N-Topology." May 16, 2019. https://doi.org/10.5281/zenodo.2862797.

Full text

Abstract:

In this paper, we extend the neutrosophic crisp topological spaces into N– neutrosophic crisp topological spaces (Nnc-topological space). Moreover, we introduced new types of open and closed sets in N–neutrosophic crisp topological spaces. We also present Nncsemi (open) closed sets, Nnc-preopen (closed) sets and Nnc-α-open (closed) sets and investigate their basic properties.

APA, Harvard, Vancouver, ISO, and other styles

12

Al-Hamido, Riad K., T. Gharibah, S. Jafari, and F. Smarandache. "On Neutrosophic Crisp Topology via N-Topology." Neutrosophic Sets and Systems 23 (December 10, 2018). https://doi.org/10.5281/zenodo.2156510.

Full text

Abstract:

In this paper, we extend the neutrosophic crisp topological spaces into N-neutrosophic crisp topological spaces (Nnc-topological space). Moreover, we introduced new types of open and closed sets in N-neutrosophic crisp topological spaces. We also present Nncs-emi (open) closed sets, Nnc-preopen (closed) sets and Nnc-α-open (closed) sets and investigate their basic properties.

APA, Harvard, Vancouver, ISO, and other styles

13

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.

Full text

Abstract:

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

APA, Harvard, Vancouver, ISO, and other styles

14

A., A. Salama, Smarandache Florentin, and A. Alblowi S. "New Neutrosophic Crisp Topological Concepts." April 2, 2014. https://doi.org/10.5281/zenodo.30233.

Full text

Abstract:

In this paper, we introduce the concept of ""neutrosophic crisp neighborhoods system for the neutrosophic crisp point ". Added to, we introduce and study the concept of neutrosophic crisp local function, and construct a new type of neutrosophic crisp topological space via neutrosophic crisp ideals. Possible application to GIS topology rules are touched upon.

APA, Harvard, Vancouver, ISO, and other styles

15

A.A.SALAMA, I.M.HANAFY, ELGHAWALBY HEWAYDA, and M.S.DABASH. "Neutrosophic Crisp Closed Region and Neutrosophic Crisp Continuous Functions." December 10, 2016. https://doi.org/10.5281/zenodo.200048.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

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.

Full text

Abstract:

  "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

APA, Harvard, Vancouver, ISO, and other styles

17

Salama, A. A., Florentin Smarandache, and S. A. Alblowi. "New Neutrosophic Crisp Topological Concepts." Neutrosophic Sets and Systems 4, 2014 (May 4, 2014). https://doi.org/10.5281/zenodo.571462.

Full text

Abstract:

In this paper, we introduce the concept of neutrosophic crisp neighborhoods system for the neutrosophic crisp point. Added to, we introduce and study the concept of neutrosophic crisp local function, and construct a new type of neutrosophic crisp topological space via neutrosophic crisp ideals. Possible application to GIS topology rules are touched upon.

APA, Harvard, Vancouver, ISO, and other styles

18

-, DR P. RAJASEKHAR, K. UMARANI -, and B. NAGAMANI -. "IDEALS ON NEUTROSOPHIC CRISP SUPRA TOPOLOGICAL SPACES." International Journal on Science and Technology 16, no. 2 (2025). https://doi.org/10.71097/ijsat.v16.i2.5179.

Full text

Abstract:

Ideals on neutrosophic crisp supra topology, neutrosophic crisp supra local functions, neutrosophic crisp supra L-open sets, L-continuity are introduced in this paper and some of its basic properties are investigated.

APA, Harvard, Vancouver, ISO, and other styles

19

Florentin, Smarandache. "New Types of Topologies and Neutrosophic Topologies." January 9, 2023. https://doi.org/10.5281/zenodo.8166164.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

20

Suman, Das, Das Rakhal, and Pramanik Surapati. "Topology on Ultra Neutrosophic Set." December 12, 2021. https://doi.org/10.5281/zenodo.5775098.

Full text

Abstract:

In this paper, we introduce the ultra neutrosophic set, and define some operations and establish a few properties of the ultra neutrosophic sets. Using the notion of topology on ultra neutrosophic sets, we introduce the concept of ultra neutrosophic topology. Further, we define the notion of ultra neutrosophic interior and ultra neutrosophic closure via ultra neutrosophic topological space

APA, Harvard, Vancouver, ISO, and other styles

21

Florentin, Smarandache. "New Types of Topologies and Neutrosophic Topologies (Improved Version)." August 22, 2023. https://doi.org/10.5281/zenodo.8271368.

Full text

Abstract:

In this paper we recall the six new types of topologies, and their corresponding topological spaces, that we introduced in the last years (2019-20223), such as: NeutroTopology, AntiTopology, Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, SuperHyperTopology, and Neutrosophic SuperHyperTopology. The nth-PowerSets ( ) n P H and * ( ) n P H , that the SuperHyperTopology and respectively Neutrosophic SuperHyperTopology are based on, better describe our real world, since a system H (that may be a set, company, institution, country, region, etc.) is organized in sub-systems, whic

APA, Harvard, Vancouver, ISO, and other styles

22

Al-Hamido, Riad K. Al. "A New Approach Of Neutrosophic Topological space." International Journal of Neutrosophic Science, 2020, 55–61. http://dx.doi.org/10.54216/ijns.070105.

Full text

Abstract:

In this paper, a new approach of neutrosophic topological space (NA-NTS) is going to be introduced which is more general than neutrosophic topological space. Moreover, a new kind of neutrosophic sets and neutrosophic concepts in this new space is going to be created, which may makes us created a new kind in neutrosophic topology. We prove that a new approach of neutrosophic topological space is not a classical topological space. Also, a new approach of neutrosophic topological space is neither neutrosophic topological space nor neutrosophic crisp topological space. Many examples and theories a

APA, Harvard, Vancouver, ISO, and other styles

23

Riad, K. Al-Hamido. "A New Approach Of Neutrosophic Topological space." August 19, 2020. https://doi.org/10.5281/zenodo.3991377.

Full text

Abstract:

In this paper, a new approach of neutrosophic topological space (NA-NTS) is going to be introduced which is more general than neutrosophic topological space. Moreover, a new kind of neutrosophic sets and neutrosophic concepts in this new space is going to be created, which may makes us created a new kind in neutrosophic topology. We prove that a new approach of neutrosophic topological space is not a classical topological space. Also, a new approach of neutrosophic topological space is neither neutrosophic topological space nor neutrosophic crisp topological space. Many examples and theories a

APA, Harvard, Vancouver, ISO, and other styles

24

Milles, Soheyb, Hadjer Berri та Amira Abidat. "On Neutrosophic Topological Spaces in ˇSostak's Sense". Neutrosophic Knowledge 4 (30 травня 2024). https://doi.org/10.5281/zenodo.13629450.

Full text

Abstract:

<strong>Abstract </strong><strong>:</strong>  Alexander P. ˇSostak has proposed a fundamental approach to the notion of fuzzy topological space, which depends on the generalization of classical (crisp) topology and Chang’s fuzzy topology. Unlike previous approaches, not only the subsets were fuzzified, but also the conditions between them. In this paper, we present the notion of neutrosophic topological space in ˇSostak’s sense by a simple way. Moreover, we investigate interesting properties of this topological space which is considered as a generalization of fuzzy and in

APA, Harvard, Vancouver, ISO, and other styles

25

Subasree, R., K. BasariKodi, Jafari Saeid, and K. Subramanian. "Heptagonal Neutrosophic Quotient Mappings." September 3, 2024. https://doi.org/10.5281/zenodo.13989120.

Full text

Abstract:

In 2023, [6] Kungumaraj et al. presented the Heptagonal Neurosophic Number and Heptagonal Neurosophic Topology. Heptagonal neutrosophic numbers are essential because they provide a powerful tool for representing and managing uncertainty in decision-making processes across various domains, offering a more nuanced and versatile approach compared to traditional fuzzy or intuitionistic fuzzy sets. Heptagonal neutrosophic methods differ from other neutrosophic methods primarily in the number of parameters they consider and their applications. Heptagonal neutrosophic nu

APA, Harvard, Vancouver, ISO, and other styles

26

Suman, Das, and Pramanik Surapati. "Neutrosophic Tri-Topological Space." September 8, 2021. https://doi.org/10.5281/zenodo.5486526.

Full text

Abstract:

In this article, we present the notion of neutrosophic tri-topological space as a generalization of neutrosophic bi-topological space. Besides, we study the different types of open sets and closed sets namely neutrosophic tri-open sets, neutrosophic tri-closed sets, neutrosophic tri-semiopen sets, neutrosophic tri-pre-closed sets, etc. via neutrosophic tri-topological spaces. Further, we investigate several properties, and prove some propositions, theorems on neutrosophic tritopological spaces.

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!