A Note On Neutrosophic Chaotic Continuous Functions


  • T. Madhumathi Research Scholar, Department of Mathematics, Nirmala College for Women, Coimbatore, India
  • F. Nirmala Irudayam Assistant Professor, Department of Mathematics, Nirmala College for Women, Coimbatore, India
  • Florentin Smarandache Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA


Neutrosophic periodic points,, neutrosophic orbit sets, neutrosophic chaotic sets, neutrosophic sensitive functions, neutrosophic orbit extremally disconnected spaces


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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How to Cite

Madhumathi, T. ., Nirmala Irudayam, F. ., & Smarandache, F. (2020). A Note On Neutrosophic Chaotic Continuous Functions. Neutrosophic Sets and Systems, 25, 66-75. Retrieved from http://fs.unm.edu/NSS2/index.php/111/article/view/175