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Full Length Article
Volume 0 - 2019 , Issue II- Vol 0, PP: 90-99 , 2019


Neutrosophic Crisp B-Functions

Authors Names :   A. A. Salama   1 *  

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

    Email :  drsalama44@gmail.com

Doi   :  10.5281/zenodo.3930154

Received Jan 20, 2019. Revised March 02, 2019 Accepted April 03, 2019

Abstract :

  The purpose of the present paper is to introduce and study the concept of B-continuous function and B-open function in neutrosophic crisp topological spaces. Finally, some characterizations concerning neutrosophic crisp functions are presented and one obtains several properties.  

Keywords :

Neutrosophic crispB-continuous function , Neutrosophic crisp B-open function and Neutrosophic crisp B-closed function


References :

[1]I.M.Hanafy, A.A.Salama, Hewayda ElGhawalby and M.S.Dabash. “Some GIS Topological Concepts via Neutrosophic Crisp Set Theory”, To be published in the book titled "New Trends in Neutrosophic Theories and Applications", Publisher: Europa Nova, Brussels, 2016.

[2]A.A.Salama, F. Smarandache and Valeri Kroumov, “Neutrosophic crisp Sets & Neutrosophic crisp Topological Spaces, "Neutrosophic Sets and Systems", Vol.(2), pp.25-30, 2014.

[3]A.A.Salama and Florentin Smarandache, “Neutrosophic crisp set theory”, Educational Publisher, Columbus,2015.

[4]A.A. Salama and S.A. Alblowi, "Generalized Neutrosophic Set and Generalized Neutrousophic Topological Spaces ", Journal computer Sci. Engineering, Vol. 2, No. 7, pp. 29-32, 2012.

[5]A.A. Salama and S.A. Alblowi, “Neutrosophic set and neutrosophic topological space”, ISORJ. Mathematics, Vol. 3, Issue 4, pp.31-35, 2012.

[6]A. A. Salama,"Neutrosophic Crisp Points & Neutrosophic Crisp Ideals", Neutrosophic Sets and Systems, Vol.1, pp. 50-54. 2013.

[7]  A. A. Salama, F. Smarandache, "Filters via Neutrosophic Crisp Sets", Neutrosophic Sets and Systems, Vol.1, pp.34-38. 2013.

[8]A. A. Salama, Said Broumi, Florentin Smarandache,“Some Types of Neutrosophic Crisp Sets and Neutrosophic Crisp Relations" Neutrosophic Theory and Its Applications. 3.2: 396.‏pp.378-385. 

[9]F.  Smarandache , “Neutrosophy and  Neutrosophic Logic”, First International Conference on Neutrosophy , Neutrosophic Logic , Set, Probability, and Statistics University  of   New Mexico, Gallup, NM 87301, USA 2002 . 

[10] F. Smarandache,“An introduction to the Neutrosophy probability applied in Quantum Physics” , International Conference on Neutrosophic Physics , Neutrosophic Logic, Set, Probability, and Statistics University  of   New Mexico, Gallup, NM 87301, USA, 2-4 December. 2011 .

[11] F. Smarandache, “A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability”, American Research Press, Rehoboth, NM, 1999.

[12] S. Broumi, M.Talea, A. Bakali, F. Smarandache, D.Nagarajan, M. Lathamaheswari and M.Parimala, “Shortest path problem in fuzzy, intuitionistic fuzzy and neutrosophic environment: an overview”, Complex & Intelligent Systems, 5, pp.371–378, 2019. https://doi.org/10.1007/s40747-019-0098-z

[13] S.Broumi,D. Nagarajan, A. Bakali, M. Talea, F. Smarandache, M. Lathamaheswari, “The shortest path problem in interval valued trapezoidal and triangular neutrosophic environment”, Complex & Intelligent Systems, 5, pp.391–402, 2019. https://doi.org/10.1007/s40747-019-0092-5

[14] S. Broumi, D. Nagarajan, A. Bakali, M. Talea, F. Smarandache, M. Lathamaheswari and J. Kavikumar,  “Implementation of Neutrosophic Function Memberships Using MATLAB Program”, Neutrosophic Sets and Systems, Vol. 27, 44-52, 2019. DOI: 10.5281/zenodo.3275355

[15] S. Broumi, A. Bakali, M. Talea, F. Smarandache, K. P. Krishnan Kishore, R. Şahin, “Shortest Path Problem under Interval Valued Neutrosophic Setting”, International Journal of Advanced Trends in Computer Science and Engineering, Vol. 8(1.1), 216-222, 2019.

[16] M. Parimala, M. Karthika, S. Jafari, F. Smarandache, R.Udhayakumar,” Neutrosophic Nano ideal topological structure”, Neutrosophic Sets and Systems, vol. 24, pp. 70-76, 2019.