A New Approach to Operations on Neutrosophic Soft Sets and to Neutrosophic Soft Topological Spaces

Taha Yasin Ozturk, Cigdem Gunduz Aras, Sadi Bayramov

Abstract


In this study, we re-define some operations on neutrosophic soft sets differently from the studies [3, 9]. On this operations are given interesting examples and them basic properties. In the direction of these newly defined operations, we construct the neutrosophic soft topological spaces differently from the study [3]. Finally, we introduce basic definitions and theorems on neutrosophic soft topological spaces.


Keywords


Neutrosophic soft set; Neutrosophic soft topological space; Neutrosophic soft interior; Neutrosophic soft closure

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References


K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20(1) (1986), 87 – 96, DOI: 10.1007/978-3-7908-1870-3-1.

S. Bayramov and C. Gunduz(Aras), On intuitionistic fuzzy soft topological spaces, TWMS J. Pure Appl. Math. 5(1)(2014), 66 – 79.

T. Bera and N. K. Mahapatra, Introduction to neutrosophic soft topological space, Opsearch 54(4) (2017), 841 – 867, DOI: 10.1007/s12597-017-0308-7.

T. Bera and N. K. Mahapatra, On neutrosophic soft function, Annals of Fuzzy Mathematics and Informatics 12(1) (2016), 101 – 119.

N. Cağman, S. Karataş and S. Enginoğlu, Soft topology, Computers & Mathematics with Applications 62(1) (2011), 351 – 358, DOI: 10.1016/j.camwa.2011.05.016.

C. L. Chang, Fuzzy topological spaces, Journal of Mathematical Analysis and Applications 24(1) (1968), 182 – 190, DOI: 10.1016/0022-247x(68)90057-7.

D. Coker, A note on intuitionistic sets and intuitionistic points, Turkish Journal of Mathematics 20(3) (1996), 343 – 351.

I. Deli and S. Broumi, Neutrosophic soft relations and some properties, Annals of Fuzzy Mathematics and Informatics 9(1) (2015), 169 – 182, DOI: 10.5281/zenodo.23153.

P. K. Maji, Neutrosophic soft set, Annals of Fuzzy Mathematics and Informatics 5(1) (2013), 157 – 168.

P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, The Journal of fuzzy mathematics 9(3) (2001), 589 – 602.

D. Molodtsov, Soft set theory-first results, Computers & Mathematics with Applications 37(4/5) (1999), 19 – 31, DOI: 10.1016/s0898-1221(99)00056-5.

A. A. Salma and S. A. Alblowi, Neutrosophic set and neutrosophic topological spaces, IOSR Journal of Mathematics 3(4) (2012), 31 – 35, DOI: 10.9790/5728-0343135.

M. Shabir and M. Naz, On soft topological spaces, Computers & Mathematics with Applications 61(7) (2011), 1786 – 1799, DOI: 10.1016/j.camwa.2011.02.006.

F. Smarandache, Neutrosophic set- a generalisation of the intuitionistic fuzzy sets, International Journal of Pure and Applied Mathematics 24(3) (2005), 287 – 297, DOI: 10.1109/grc.2006.1635754.

L. A. Zadeh, Fuzzy sets, Information and Control 8(3) (1965), 338 – 353, DOI: 10.1016/s0019-9958(65)90241-x.




DOI: http://dx.doi.org/10.26713%2Fcma.v10i3.1068

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