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Journal articles on the topic 'Neutrosophic Crisp Open Set'

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Published: 2 June 2025

Last updated: 31 July 2025

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1

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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2

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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3

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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4

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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6

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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7

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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9

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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10

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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Riad, K. Al-Hamido, Salha Luai, and Gharibah Taleb. "Pre Separation Axioms In Neutrosophic Crisp Topological Spaces." August 19, 2020. https://doi.org/10.5281/zenodo.3991464.

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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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12

Henry, Garrett. "Some Polynomials Related to Numbers in Classes of (Strong) Neutrosophic Graphs." March 29, 2022. https://doi.org/10.13140/RG.2.2.36280.83204.

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New setting is introduced to study girth polynomial and neutrosophic girth polynomial arising counting neutrosophic cycles and crisp cycles in strong neutrosophic graphs based on neutrosophic cycles and in neutrosophic graphs based on crisp cycles. Forming neutrosophic cycles from a sequence of consecutive vertices is key type of approach to have these notions namely girth polynomial and neutrosophic girth polynomial arising from counting neutrosophic cycles and crisp cycles in strong neutrosophic graphs based on neutrosophic cycles and in neutrosophic graphs based on crisp cycles. Two numbers

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

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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.

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C.Maheswari and Chandrasekar S. "Neutrosophic bg-closed Sets and its Continuity." October 4, 2020. https://doi.org/10.5281/zenodo.4065402.

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  Smarandache introduced and developed the new concept of Neutrosophic set from the Intuitionistic fuzzy sets. A.A. Salama introduced Neutrosophic topological spaces by using the Neutrosophic crisp sets. Aim of this paper is we introduce and study the concepts Neutrosophic b generalized closed sets and Neutrosophic b generalized continuity in Neutrosophic topological spaces and its Properties are discussed details.  

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Henry, Garrett. "0062 | Neutrosophic Girth Based On Crisp Cycle in Neutrosophic Graphs." March 26, 2022. https://doi.org/10.13140/RG.2.2.14011.69923.

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New setting is introduced to study girth and neutrosophic girth arising from shortest cycles. Forming cycles from a sequence of consecutive vertices is key type of approach to have these notions namely girth and neutrosophic girth arising from shortest cycles. Two numbers are obtained but now both settings leads to approach is on demand which is finding minimum cardinality and minimum neutrosophic cardinality in the terms of vertices, which have edges which form a shortest cycle. Let NTG : (V,E,σ,μ) be a neutrosophic graph. Then Girth G(NTG) for a neutrosophic graph NTG : (V,E,σ

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Henry, Garrett. "Dual-Dominating Numbers in Neutrosophic Setting and Crisp Setting Obtained From Classes of Neutrosophic Graphs." June 17, 2022. https://doi.org/10.13140/RG.2.2.19925.91361.

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New setting is introduced to study dual-dominating number and neutrosophic dual-dominating number arising from dominated vertices in neutrosophic graphs assigned to neutrosophic graphs. Maximum number of dominated vertices, is a number which is representative based on those vertices. Maximum neutrosophic number of dominated vertices corresponded to dual-dominating set is called neutrosophic dual-dominating number. Forming sets from dominated vertices to figure out different types of number of vertices in the sets from dominated sets n in the terms of maximum number of vertices to get maximum n

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17

Henry, Garrett. "Finding Hamiltonian Neutrosophic Cycles in Classes of Neutrosophic Graphs." March 31, 2022. https://doi.org/10.13140/RG.2.2.29071.87200.

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New setting is introduced to study hamiltonian neutrosophic cycle and n-hamiltonian neutrosophic cycle arising from finding and counting longest neutrosophic cycles containing all vertices once in strong neutrosophic graphs based on neutrosophic cycles and in neutrosophic graphs based on crisp cycles. Forming neutrosophic cycles from a sequence of consecutive vertices is key type of approach to have these notions namely hamiltonian neutrosophic cycle and n-hamiltonian neutrosophic cycle arising from finding and counting longest neutrosophic cycles containing all vertices once in strong neutros

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Henry, Garrett. "Eulerian Results In Neutrosophic Graphs With Applications." April 4, 2022. https://doi.org/10.13140/RG.2.2.34203.34089.

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New setting is introduced to study Eulerian neutrosophic cycle and n-Eulerian neutrosophic cycle arising from finding and counting longest neutrosophic cycles containing all edges once in strong neutrosophic graphs based on neutrosophic cycles and in neutrosophic graphs based on crisp cycles. Forming neutrosophic cycles from a sequence of consecutive edges is key type of approach to have these notions namely Eulerian neutrosophic cycle and n-Eulerian neutrosophic cycle arising from finding and counting longest neutrosophic cycles containing all edges once in strong neutrosophic graphs based on

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19

Henry, Garrett. "0063 | Finding Shortest Sequences of Consecutive Vertices in Neutrosophic Graphs." March 27, 2022. https://doi.org/10.5281/zenodo.6387605.

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New setting is introduced to study girth and neutrosophic girth arising from shortest neutrosophic cycles. Forming neutrosophic cycles from a sequence of consecutive vertices is key type of approach to have these notions namely girth and neutrosophic girth arising from shortest neutrosophic cycles. Two numbers are obtained but now both settings leads to approach is on demand which is finding minimum cardinality and minimum neutrosophic cardinality in the terms of vertices, which have edges which form a shortest neutrosophic cycle. Let NTG : (V,E,σ,μ) be a neutrosophic graph. Then Girt

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20

Henry, Garrett. "New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperEdge-Domination As Hyper Reversion On Super Indirection." February 26, 2023. https://doi.org/10.13140/RG.2.2.10493.84962.

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“#172 Article” Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperEdge-Domination As Hyper Reversion On Super Indirection”, ResearchGate 2023, (doi: 10.13140/RG.2.2.10493.84962). @ResearchGate: https://www.researchgate.net/publication/368824400     \documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, tikz, color} \usepackage[bookmarksnumbered, colorlinks, plainpages]{hyperref} %

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21

Salama, A. A., and Elghawalby Hewayda. "Neutrosophic Crisp Set & Neutrosophic Crisp relations." July 1, 2015. https://doi.org/10.5281/zenodo.22579.

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Since the world is full of indeterminacy, the neutrosophics found their place into contemporary research. The purpose of this paper is to introduce a new type of neutrosophic crisp set as the *- neutrosophic crisp sets as a generalization to star intuitionistic set due to Indira et al.[4 ], and study some of its properties. Finally we introduce and study the notion of *- neutrosophic relation and some of its properties. .

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22

Al-Obaidi, Ali Hussein Mahmood, and Qays Hatem Imran. "On New Types of Weakly Neutrosophic Crisp Open Mappings." Iraqi Journal of Science, August 31, 2021, 2660–66. http://dx.doi.org/10.24996/ijs.2021.62.8.18.

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This work employs the conceptions of neutrosophic crisp a-open and semi-a-open sets to distinguish some novel forms of weakly neutrosophic crisp open mappings; for instance, neutrosophic crisp a-open mappings, neutrosophic crisp a*-open mappings, neutrosophic crisp a**-open mappings, neutrosophic crisp semi-a-open mappings, neutrosophic crisp semi-a*-open mappings, and neutrosophic crisp semi-a**-open mappings. Moreover, the close connections between these forms of weakly neutrosophic crisp open mappings and the viewpoints of neutrosophic crisp open mappings are explained. Additionally, variou

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Henry, Garrett. "New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph As Hyper Tool On Super Toot." April 9, 2023. https://doi.org/10.5281/zenodo.7812236.

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\documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, tikz, color} \usepackage[bookmarksnumbered, colorlinks, plainpages]{hyperref} % use Unicode characters - try changing the option if you run into troubles with special characters (e.g. umlauts) \usepackage[utf8]{inputenc} % clean citations \usepackage{cite} % hyperref makes references clicky. use \url{www.example.com} or \href{www.example.com}{description} to add a clicky url \usepackage{nameref,hyperref} % li

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Henry, Garrett. "New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Vertex-Connectivity As Hyper Leak On Super Structure." March 7, 2023. https://doi.org/10.13140/RG.2.2.35105.89447.

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“#180 Article” Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Vertex-Connectivity As Hyper Leak On Super Structure”, ResearchGate 2023, (doi: 10.13140/RG.2.2.35105.89447). @ResearchGate: https://www.researchgate.net/publication/369051049 @Scribd: https://www.scribd.com/document/- @ZENODO_ORG: https://zenodo.org/record/- @academia: https://www.academia.edu/-   -- \documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsf

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Henry, Garrett. "New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyper(i,j)-Domination As Hyper Controller On Super Waves." March 2, 2023. https://doi.org/10.13140/RG.2.2.22011.80165.

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“#174 Article” Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyper(i,j)-Domination As Hyper Controller On Super Waves”, ResearchGate 2023, (doi: 10.13140/RG.2.2.22011.80165). @ResearchGate: https://www.researchgate.net/publication/368922546 @Scribd: https://www.scribd.com/document/628952478 @ZENODO_ORG: https://zenodo.org/record/- @academia: https://www.academia.edu/-   \documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsth

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Henry, Garrett. "New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Chord As Hyper Excellence On Super Excess." March 5, 2023. https://doi.org/10.13140/RG.2.2.13059.58401.

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“#176 Article” Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Chord As Hyper Excellence On Super Excess”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13059.58401). @ResearchGate: https://www.researchgate.net/publication/369019923 @Scribd: https://www.scribd.com/document/629520682 @ZENODO_ORG: https://zenodo.org/record/- @academia: https://www.academia.edu/-   \documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts,

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Henry, Garrett. "New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Tree-Decomposition As Hyper Forward On Super Returns." March 6, 2023. https://doi.org/10.13140/RG.2.2.31147.52003.

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“#178 Article” Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Tree-Decomposition As Hyper Forward On Super Returns”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31147.52003). @ResearchGate: https://www.researchgate.net/publication/369029627 @Scribd: https://www.scribd.com/document/- @ZENODO_ORG: https://zenodo.org/record/- @academia: https://www.academia.edu/-   \documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfont

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Henry, Garrett. "New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperK-Domination As Hyper k-Actions On Super Patterns." February 24, 2023. https://doi.org/10.13140/RG.2.2.19944.14086.

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“#170 Article” Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperK-Domination As Hyper k-Actions On Super Patterns”, ResearchGate 2023, (doi: 10.13140/RG.2.2.19944.14086). @ResearchGate: https://www.researchgate.net/publication/368781100 @Scribd: https://www.scribd.com/document/- @ZENODO_ORG: https://zenodo.org/record/- @academia: https://www.academia.edu/-       \documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, a

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Henry, Garrett. "New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperDimension As Hyper Distinguishing On Super Distances." February 20, 2023. https://doi.org/10.13140/RG.2.2.31956.88961.

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“#161 Article” Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperDimension As Hyper Distinguishing On Super Distances”, ResearchGate 2023, (doi: 10.13140/RG.2.2.31956.88961). @ResearchGate: https://www.researchgate.net/publication/368663284 @Scribd: https://www.scribd.com/document/626941521 @ZENODO_ORG: https://zenodo.org/record/- @academia: https://www.academia.edu/97244153       \documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \use

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Henry, Garrett. "New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperColoring As Hyper Categories On Super Neighbors." February 21, 2023. https://doi.org/10.13140/RG.2.2.13973.81121.

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“#164 Article” Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperColoring As Hyper Categories On Super Neighbors”, ResearchGate 2023, (doi: 10.13140/RG.2.2.13973.81121). @ResearchGate: https://www.researchgate.net/publication/368686241 @Scribd: https://www.scribd.com/document/627159268     \documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, tikz, color} \usepackage[bookmarksnum

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Henry, Garrett. "New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperOrder As Hyper Enumerations On Super Landmarks." February 22, 2023. https://doi.org/10.13140/RG.2.2.35646.56641.

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“#166 Article” Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperOrder As Hyper Enumerations On Super Landmarks”, ResearchGate 2023, (doi: 10.13140/RG.2.2.35646.56641). @ResearchGate: https://www.researchgate.net/publication/368717242 @Scribd: https://www.scribd.com/document/627431073   \documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, tikz, color} \usepackage[bookmarksnumbered, c

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Henry, Garrett. "New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Space As Hyper Sparse On Super Spark." March 8, 2023. https://doi.org/10.13140/RG.2.2.21756.21129.

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“#184 Article” Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Space As Hyper Sparse On Super Spark”, ResearchGate 2023, (doi: 10.13140/RG.2.2.21756.21129). @ResearchGate: https://www.researchgate.net/publication/369086888 @Scribd: https://www.scribd.com/document/- @ZENODO_ORG: https://zenodo.org/record/- @academia: https://www.academia.edu/-   \documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, grap

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Henry, Garrett. "New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperK-Number As Hyper k-Partition On Super Layers." February 23, 2023. https://doi.org/10.13140/RG.2.2.33103.76968.

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“#168 Article” Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By SuperHyperK-Number As Hyper k-Partition On Super Layers”, ResearchGate 2023, (doi: 10.13140/RG.2.2.33103.76968). @ResearchGate: https://www.researchgate.net/publication/368752952   \documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, tikz, color} \usepackage[bookmarksnumbered, colorlinks, plainpages]{hyperref} % use Unicode chara

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Qays, Hatem Imran, K. Al-Hamido Riad, and Hussein Mahmood Al-Obaidi Ali. "On New Types of Weakly Neutrosophic Crisp Continuity." December 1, 2020. https://doi.org/10.5281/zenodo.4300486.

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The article processes the conceptualizations of neutrosophic crisp -open and neutrosophic crisp semi--open sets to define some new types of weakly ”neutrosophic crisp continuity” essentially, neutrosophic crisp *-continuous, neutrosophic crisp **-continuous, neutrosophic crisp semi--continuous, neutrosophic crisp semi-*-continuous and neutrosophic crisp semi-**-continuous functions. Also, we shall explain the relationships between these types of weakly neutrosophic crisp continuity and the concepts of neutrosophic crisp continuity.

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Henry, Garrett. "New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Path-Neighbor As Hyper Nebbish On Super Nebulous." April 13, 2023. https://doi.org/10.5281/zenodo.7824560.

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\documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, tikz, color} \usepackage[bookmarksnumbered, colorlinks, plainpages]{hyperref} % use Unicode characters - try changing the option if you run into troubles with special characters (e.g. umlauts) \usepackage[utf8]{inputenc} % clean citations \usepackage{cite} % hyperref makes references clicky. use \url{www.example.com} or \href{www.example.com}{description} to add a clicky url \usepackage{nameref,hyperref} % li

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Henry, Garrett. "New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Path-Decomposition As Hyper Decompress On Super Decompensation." April 11, 2023. https://doi.org/10.5281/zenodo.7819531.

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\documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, tikz, color} \usepackage[bookmarksnumbered, colorlinks, plainpages]{hyperref} % use Unicode characters - try changing the option if you run into troubles with special characters (e.g. umlauts) \usepackage[utf8]{inputenc} % clean citations \usepackage{cite} % hyperref makes references clicky. use \url{www.example.com} or \href{www.example.com}{description} to add a clicky url \usepackage{nameref,hyperref} % li

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Henry, Garrett. "New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Eulerian-Path-Cut As Hyper Eulogy On Super EULA." April 7, 2023. https://doi.org/10.5281/zenodo.7809328.

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\documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, tikz, color} \usepackage[bookmarksnumbered, colorlinks, plainpages]{hyperref} % use Unicode characters - try changing the option if you run into troubles with special characters (e.g. umlauts) \usepackage[utf8]{inputenc} % clean citations \usepackage{cite} % hyperref makes references clicky. use \url{www.example.com} or \href{www.example.com}{description} to add a clicky url \usepackage{nameref,hyperref} % li

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Henry, Garrett. "New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cut As Hyper Hamper On Super Hammy." March 29, 2023. https://doi.org/10.5281/zenodo.7781476.

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\documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, tikz, color} \usepackage[bookmarksnumbered, colorlinks, plainpages]{hyperref} % use Unicode characters - try changing the option if you run into troubles with special characters (e.g. umlauts) \usepackage[utf8]{inputenc} % clean citations \usepackage{cite} % hyperref makes references clicky. use \url{www.example.com} or \href{www.example.com}{description} to add a clicky url \usepackage{nameref,hyperref} % li

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Henry, Garrett. "New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cycle-Neighbor As Hyper Decompress On Super Decompensation." April 3, 2023. https://doi.org/10.5281/zenodo.7796319.

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\documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, tikz, color} \usepackage[bookmarksnumbered, colorlinks, plainpages]{hyperref} % use Unicode characters - try changing the option if you run into troubles with special characters (e.g. umlauts) \usepackage[utf8]{inputenc} % clean citations \usepackage{cite} % hyperref makes references clicky. use \url{www.example.com} or \href{www.example.com}{description} to add a clicky url \usepackage{nameref,hyperref} % li

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Henry, Garrett. "New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cycle-Neighbor As Hyper Nebbish On Super Nebulous." April 3, 2023. https://doi.org/10.5281/zenodo.7796334.

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\documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, tikz, color} \usepackage[bookmarksnumbered, colorlinks, plainpages]{hyperref} % use Unicode characters - try changing the option if you run into troubles with special characters (e.g. umlauts) \usepackage[utf8]{inputenc} % clean citations \usepackage{cite} % hyperref makes references clicky. use \url{www.example.com} or \href{www.example.com}{description} to add a clicky url \usepackage{nameref,hyperref} % li

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Henry, Garrett. "New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cycle-Decomposition As Hyper Decompress On Super Decompensation." April 2, 2023. https://doi.org/10.5281/zenodo.7793372.

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\documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, tikz, color} \usepackage[bookmarksnumbered, colorlinks, plainpages]{hyperref} % use Unicode characters - try changing the option if you run into troubles with special characters (e.g. umlauts) \usepackage[utf8]{inputenc} % clean citations \usepackage{cite} % hyperref makes references clicky. use \url{www.example.com} or \href{www.example.com}{description} to add a clicky url \usepackage{nameref,hyperref} % li

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42

Henry, Garrett. "New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Decomposition As Hyper Decompress On Super Decompensation." March 30, 2023. https://doi.org/10.5281/zenodo.7787066.

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\documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, tikz, color} \usepackage[bookmarksnumbered, colorlinks, plainpages]{hyperref} % use Unicode characters - try changing the option if you run into troubles with special characters (e.g. umlauts) \usepackage[utf8]{inputenc} % clean citations \usepackage{cite} % hyperref makes references clicky. use \url{www.example.com} or \href{www.example.com}{description} to add a clicky url \usepackage{nameref,hyperref} % li

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Henry, Garrett. "New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Cycle-Cut As Hyper Hamper On Super Hammy." April 1, 2023. https://doi.org/10.5281/zenodo.7791952.

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\documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, tikz, color} \usepackage[bookmarksnumbered, colorlinks, plainpages]{hyperref} % use Unicode characters - try changing the option if you run into troubles with special characters (e.g. umlauts) \usepackage[utf8]{inputenc} % clean citations \usepackage{cite} % hyperref makes references clicky. use \url{www.example.com} or \href{www.example.com}{description} to add a clicky url \usepackage{nameref,hyperref} % li

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44

Henry, Garrett. "New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Hamiltonian-Neighbor As Hyper Nebbish On Super Nebulous." March 31, 2023. https://doi.org/10.5281/zenodo.7790026.

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\documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, tikz, color} \usepackage[bookmarksnumbered, colorlinks, plainpages]{hyperref} % use Unicode characters - try changing the option if you run into troubles with special characters (e.g. umlauts) \usepackage[utf8]{inputenc} % clean citations \usepackage{cite} % hyperref makes references clicky. use \url{www.example.com} or \href{www.example.com}{description} to add a clicky url \usepackage{nameref,hyperref} % li

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Henry, Garrett. "New Ideas In Recognition of Cancer And Neutrosophic SuperHyperGraph By Trace-Neighbor As Hyper Nebbish On Super Nebulous." March 28, 2023. https://doi.org/10.5281/zenodo.7777857.

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\documentclass[10pt,letterpaper]{article} \usepackage[top=0.85in,left=2.79in,footskip=0.79in,marginparwidth=2in]{geometry} \usepackage{amsmath, amsthm, amscd, amsfonts, amssymb, graphicx, tikz, color} \usepackage[bookmarksnumbered, colorlinks, plainpages]{hyperref} % use Unicode characters - try changing the option if you run into troubles with special characters (e.g. umlauts) \usepackage[utf8]{inputenc} % clean citations \usepackage{cite} % hyperref makes references clicky. use \url{www.example.com} or \href{www.example.com}{description} to add a clicky url \usepackage{nameref,hyperref} % li

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46

Henry, Garrett. "New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Trace-Decomposition As Hyper Decompress On Super Decompensation." March 26, 2023. https://doi.org/10.5281/zenodo.7771831.

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“#215 Article” Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Trace-Decomposition As Hyper Decompress On Super Decompensation”, Zenodo 2023, (doi:-). @ResearchGate: https://www.researchgate.net/publication/- @Scribd: https://www.scribd.com/document/- @ZENODO_ORG: https://zenodo.org/record/- @academia: https://www.academia.edu/- Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle -- \documentclass[10pt,letterpaper]{article} \usepackage[to

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Henry, Garrett. "New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Trace-Cut As Hyper Nebbish On Super Nebulous." March 23, 2023. https://doi.org/10.13140/RG.2.2.20913.25446.

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“#213 Article” Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Trace-Cut As Hyper Nebbish On Super Nebulous”, ResearchGate 2023, (doi: 10.13140/RG.2.2.20913.25446). @ResearchGate: https://www.researchgate.net/publication/369456588 @Scribd: https://www.scribd.com/document/- @ZENODO_ORG: https://zenodo.org/record/- @academia: https://www.academia.edu/- Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle   \documentclass[10pt,letterpape

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Henry, Garrett. "New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Neighbor As Hyper Nebbish On Super Nebulous." March 22, 2023. https://doi.org/10.13140/RG.2.2.11770.98247.

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“#211 Article” Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Neighbor As Hyper Nebbish On Super Nebulous”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11770.98247). @ResearchGate: https://www.researchgate.net/publication/369422667 @Scribd: https://www.scribd.com/document/- @ZENODO_ORG: https://zenodo.org/record/- @academia: https://www.academia.edu/- Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle   \documentclass[10pt,letter

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Henry, Garrett. "New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Decomposition As Hyper Decompress On Super Decompensation." March 21, 2023. https://doi.org/10.13140/RG.2.2.22545.10089.

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“#209 Article” Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Decomposition As Hyper Decompress On Super Decompensation”, ResearchGate 2023, (doi: 10.13140/RG.2.2.22545.10089). @ResearchGate: https://www.researchgate.net/publication/369385213 @Scribd: https://www.scribd.com/document/- @ZENODO_ORG: https://zenodo.org/record/- @academia: https://www.academia.edu/98896282 Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle   &nbsp

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Henry, Garrett. "New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Cut As Hyper Edify On Super Eddy." March 20, 2023. https://doi.org/10.13140/RG.2.2.11377.76644.

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“#207 Article” Henry Garrett, “New Ideas In Cancer's Recognition And Neutrosophic SuperHyperGraph By Edge-Cut As Hyper Edify On Super Eddy”, ResearchGate 2023, (doi: 10.13140/RG.2.2.11377.76644). @ResearchGate: https://www.researchgate.net/publication/369374430 @Scribd: https://www.scribd.com/document/- @ZENODO_ORG: https://zenodo.org/record/- @academia: https://www.academia.edu/98839726 Available at @WordPress @ResearchGate @Scribd @academia @ZENODO_ORG @Twitter @facebook @LinkedIn @Amazon @googlebooks @GooglePlay @AmazonKindle   \documentclass[10pt,letterpape

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