On some new notions and functions in neutrosophic topological spaces

In this paper, we define the notion of neutrosophic semiopen (resp. preopen and [alpha]-open) functions and investigate relation among them. We give a characterization of neutrosophic [alpha]-open set, and provide conditions for a neutrosophic set to be a neutrosophic [alpha]-open set. We discuss ch...

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Published inNeutrosophic sets and systems Vol. 16; pp. 16 - 19
Main Authors Arokiarani, I, Dhavaseelan, R, Jafari, S, Parimala, M
Format Journal Article
LanguageEnglish
Published Neutrosophic Sets and Systems 01.06.2017
University of New Mexico
Subjects
Mathematical research
neutrosophic pre-continuous
neutrosophic semiopen
neutrosophic α-open set
Set theory
Topological spaces
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Summary:In this paper, we define the notion of neutrosophic semiopen (resp. preopen and [alpha]-open) functions and investigate relation among them. We give a characterization of neutrosophic [alpha]-open set, and provide conditions for a neutrosophic set to be a neutrosophic [alpha]-open set. We discuss characterizations of neutrosophic pre-continuous (resp. [alpha]-continuous) functions. We give a condition for a function of neutrosophic topological spaces to be a neutrosophic [alpha]-continuous function. Keywords: neutrosophic [alpha]-open set; neutrosophic semiopen; neutrosophic preopen; neutrosophic pre-continuous; neutrosophic [alpha]-continuous.
ISSN:2331-6055
2331-608X
DOI:10.5281/zenodo.831915