A Note On Neutrosophic Chaotic Continuous Functions

• 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: Neutrosophic periodic points; neutrosophic orbit sets; neutrosophic chaotic sets; neutrosophic sensitive functions; neutrosophic orbit extremally disconnected spaces
• Online Access: http://fs.unm.edu/NSS/Neutrosophicchaoticcontinuousfunction.pdf

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.