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International Journal of Neutrosophic Science
Volume 0 - 2019 , Issue II- Vol 0, PP: 77-82 , 2020 | Cite this article as | XML | Html |PDF


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   :   https://doi.org/10.54216/IJNS.000203

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 :

[1]   Atanassov, K. “Intuitionistic fuzzy sets: past, present and future”, Proc. of the Third Conf. of the European Society for Fuzzy Logic and Technology EUSFLAT 2003, Zittau,pp.12 – 19. 2003.

[2]   Atanassov, K. “Intuitionistic fuzzy sets”, Fuzzy Sets and Systems 20, pp.87 – 96,1986.

[3]  Cornelis,C, Atanassov, Kerre K, E. E.” Intuitionistic fuzzy sets and interval-valued fuzzy sets: A critical comparison”, Proc. EUSFLAT03, pp.159 – 163, 2003.

[4]  SALAMA, A. A.; EL GHAWALBY, HEWAYDA; NASR, ASMAA M.” RETRACT NEUTROSOPHIC CRISP SYSTEM FOR GRAY SCALE IMAGE, Asian Journal of Mathematics and Computer Research, 2, pp.104-117,2018

[5]  Salama, A. A, Smarandache, F, Alblowi, S. A.” New neutrosophic crisp topological concepts”, Neutrosophic Sets and Systems 2, pp.50 – 54, 2014.

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[8]  Salama, A. A.,Elghawalby,H. “*- Neutrosophic Crisp Set & relations”, Neutrosophic Sets and Systems, Vol. 6, 2014.

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[11]           Smarandache, F.” Neutrosophic set, a generialization of the intuituionistics fuzzy sets”, Inter. J. Pure Appl. Math., 24,pp.287 – 297,  2005.

[12]           Zadeh, L. A., “Fuzzy sets”, Inform. and Control, pp.338 – 353, 1965.

[13]           Broumi S., Bakali A., Talea M., Smarandache F. and Vladareanu L., Applying Dijkstra Algorithm for Solving Neutrosophic Shortest Path Problem, Proceedings of the 2016 International Conference on Advanced Mechatronic Systems, Melbourne, Australia,  pp.412-416, 2016.

[14]           Broumi S., Talea M., Bakali A., Smarandache F.,  Application of Dijkstra algorithm for solving interval valued neutrosophic shortest path problem, 2016 IEEE Symposium Series on Computational Intelligence (SSCI), pp.1 – 6, 2016.

[15]           Broumi S., Bakali A., Mohamed T., Smarandache F. and Vladareanu L., Shortest Path Problem Under Triangular Fuzzy  Neutrosophic Information, 10th International Conference on Software, Knowledge, Information Management & Applications (SKIMA), pp.169-174, 2016.





Cite this Article as :
A.A.Salama , Hewayda ElGhawalby , A.M.Nasr, Star Neutrosophic Fuzzy Topological Space, International Journal of Neutrosophic Science, Vol. 0 - 2019 , No. II- Vol 0 , (2020) : 77-82 (Doi   :  https://doi.org/10.54216/IJNS.000203)