Open AccessOn πgβ–Closed Sets and Mappings in Neutrosophic Topological Spaces
Author(s) -
V.M. Ramaa Priyaa
Publication year - 2019
Publication title -
international journal of innovative technology and exploring engineering
Language(s) - English
Resource type - Journals
ISSN - 2278-3075
DOI - 10.35940/ijitee.l1126.10812s19
Subject(s) - indeterminacy (philosophy) , closed set , topological space , generalization , class (philosophy) , mathematics , set (abstract data type) , open set , pure mathematics , fuzzy set , fuzzy logic , topology (electrical circuits) , discrete mathematics , algebra over a field , computer science , artificial intelligence , combinatorics , mathematical analysis , epistemology , philosophy , programming language
The real life situations always include indeterminacy. The Mathematical tool which is well known to deal with indeterminacy is Neutrosophy. The notion of Neutrosophic set is generally referred as the generalization of Intuitionistic fuzzy set. The Purpose of this article is to define the new class of sets called πgβ-closed sets in Neutrosophic topological spaces. The properties and characterizations of πgβclosed sets are discussed and its relationships with other Neutrosophic sets are studied. Further we define πgβ –closed mappings and πgβ –open sets and some of its properties are touched upon.