A Note On Neutrosophic Chaotic Continuous Functions

Many real time problems are based on uncertainity and chaotic environment. To demonstrate this ambiguous suituation more precisely we intend to amalgamate the ideas of chaos theory and neutrosophy. Neutrosophy is a flourishing arena which conceptualizes the notions of true, falsity and indeterminacy...

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Main Authors: T. Madhumathi, F. Nirmala Irudayam, Florentin Smarandache
Format: Article
Language:English
Published: University of New Mexico 2019-04-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:http://fs.unm.edu/NSS/Neutrosophicchaoticcontinuousfunction.pdf
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author T. Madhumathi
F. Nirmala Irudayam
Florentin Smarandache
author_facet T. Madhumathi
F. Nirmala Irudayam
Florentin Smarandache
author_sort T. Madhumathi
collection DOAJ
description Many real time problems are based on uncertainity and chaotic environment. To demonstrate this ambiguous suituation more precisely we intend to amalgamate the ideas of chaos theory and neutrosophy. Neutrosophy is a flourishing arena which conceptualizes the notions of true, falsity and indeterminacy attributes of an event. Chaos theory is another branch which brings out the concepts of periodic point, orbit and sensitive of a set. Hence in this paper we focus on the introducing the idea of chaotic periodic points, orbit sets, sensitive functions under neutrosophic settings. We start with defining a neutrosophic chaotic space and enlist its properties, As a futher extension we coin neutrosophic chaotic continuous functions and discuss its charaterizations and their interrelationships. We have also illustrated the above said concepts with suitable examples.
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spelling doaj.art-c55025284525498ba206d4a164e3be762022-12-22T01:34:21ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2019-04-0125768410.5281/zenodo.2631506A Note On Neutrosophic Chaotic Continuous FunctionsT. MadhumathiF. Nirmala IrudayamFlorentin SmarandacheMany real time problems are based on uncertainity and chaotic environment. To demonstrate this ambiguous suituation more precisely we intend to amalgamate the ideas of chaos theory and neutrosophy. Neutrosophy is a flourishing arena which conceptualizes the notions of true, falsity and indeterminacy attributes of an event. Chaos theory is another branch which brings out the concepts of periodic point, orbit and sensitive of a set. Hence in this paper we focus on the introducing the idea of chaotic periodic points, orbit sets, sensitive functions under neutrosophic settings. We start with defining a neutrosophic chaotic space and enlist its properties, As a futher extension we coin neutrosophic chaotic continuous functions and discuss its charaterizations and their interrelationships. We have also illustrated the above said concepts with suitable examples.http://fs.unm.edu/NSS/Neutrosophicchaoticcontinuousfunction.pdfNeutrosophic periodic pointsneutrosophic orbit setsneutrosophic chaotic setsneutrosophic sensitive functionsneutrosophic orbit extremally disconnected spaces
spellingShingle T. Madhumathi
F. Nirmala Irudayam
Florentin Smarandache
A Note On Neutrosophic Chaotic Continuous Functions
Neutrosophic Sets and Systems
Neutrosophic periodic points
neutrosophic orbit sets
neutrosophic chaotic sets
neutrosophic sensitive functions
neutrosophic orbit extremally disconnected spaces
title A Note On Neutrosophic Chaotic Continuous Functions
title_full A Note On Neutrosophic Chaotic Continuous Functions
title_fullStr A Note On Neutrosophic Chaotic Continuous Functions
title_full_unstemmed A Note On Neutrosophic Chaotic Continuous Functions
title_short A Note On Neutrosophic Chaotic Continuous Functions
title_sort note on neutrosophic chaotic continuous functions
topic Neutrosophic periodic points
neutrosophic orbit sets
neutrosophic chaotic sets
neutrosophic sensitive functions
neutrosophic orbit extremally disconnected spaces
url http://fs.unm.edu/NSS/Neutrosophicchaoticcontinuousfunction.pdf
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