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Full Length Article
Volume 0 - 2019 , Issue II- Vol 0, PP: 77-82 , 2020

Title

Star Neutrosophic Fuzzy Topological Space

Authors Names :   A.A.Salama   1 *     Hewayda ElGhawalby   2     A.M.Nasr   3  

1  Affiliation :  Port Said University, Faculty of Science, Department of Mathematics and Computer Science, Egypt

    Email :  drsalama44@gmail.com


2  Affiliation :  Port Said University, Faculty of Engineering, Physics and Engineering Mathematics Department, Egypt

    Email :  asomanasr06@gmail.com


3  Affiliation :  Port Said University, Faculty of Engineering, Physics and Engineering Mathematics Department, Egypt

    Email :  bhewayda2011@eng.psu.edu.eg



Doi   :  10.5281/zenodo.3930146

Received February 01, 2019 Revised March 07, 2019 Accepted May 03, 2019

Abstract :

In this paper, we aim to develop a new type of neutrosophic fuzzy set called the star neutrosophic fuzzy set as a generalization to star neutrosophic crisp set defined in by Salama et al.[8], and study some of its properties. Adedd to, we introduce the notion of star neutrosophic fuzzy topological space as a generalization to some topological consepts as star neutrosophic fuzzy closure, and star neutrosophic fuzzy interior. Finally, we  extend the concepts of  fuzzy topological  space, and intuitionistic fuzzy  topological  space to  the  case  of  star neutrosophic fuzzy sets.  

Keywords :

Neutrosophic logic ,  Neutrosophic set; Star neutrosophic fuzzy set , Neutrosophic fuzzy topology , Neutrosophic crisp set

References :

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