Open AccessNeutrosophic Orbit Topological Spaces
Author(s) -
T Madhumathi,
F NirmalaIrudayam
Publication year - 2021
Publication title -
trends in sciences
Language(s) - English
Resource type - Journals
ISSN - 2774-0226
DOI - 10.48048/tis.2021.1443
Subject(s) - falsity , orbit (dynamics) , event (particle physics) , function (biology) , set (abstract data type) , open set , topology (electrical circuits) , computer science , pure mathematics , mathematics , physics , combinatorics , epistemology , philosophy , quantum mechanics , evolutionary biology , engineering , biology , programming language , aerospace engineering
Neutrosophy is a flourishing arena which conceptualizes the notion of true, falsity and indeterminancy attributes of an event. In the study of dynamical systems, an orbit is a collection of points related by the evolution function of the dynamical system. Hence in this paper we focus on introducing the concept of neutrosophic orbit topological space denoted as (X, tNO). Also, some of the important characteristics of neutrosophic orbit open sets are discussed with suitable examples.
HIGHLIGHTS
The orbit in mathematics has an important role in the study of dynamical systems
Neutrosophy is a flourishing arena which conceptualizes the notion of true, falsity and indeterminancy attributes of an event. We combine the above two topics and create the following new concept
The collection of all neutrosophic orbit open sets under the mapping . we introduce the necessary conditions on the mapping in order to obtain a fixed orbit of a neutrosophic set (i.e., () = ) for any neutrosophic orbit open set under the mapping