Journal article Open Access

A Note On Neutrosophic Chaotic Continuous functions

T. Madhumathi; F. Nirmala Irudayam; Florentin Smarandache

Many real time problems are based on uncertainity and chaotic environment. To demonstrate this ambiguous suitua-tion 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 neutrosoph-ic 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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