Volume 14 , Issue 1 , PP: 9-23, 2021 | Cite this article as | XML | PDF | Full Length Article
R.Radha 1 * , A. Stanis Arul Mary 2 , Florentin Smarandache 3
Doi: https://doi.org/10.54216/IJNS.140101
The aim of this paper is to introduce the new concept of Quadripartitioned Neutrosophic Pythagorean soft set with T, C, U, F as dependent neutrosophic components and have also discussed some of its properties
Neutrosophic pythagorean soft set, Quadripartioned Neutrosophic Pythagorean set and Quadripartioned Neutrosophic Pythagorean soft set .
[1] I. Arockiarani, R. Dhavaseelan, S.Jafari,M.Parimala,On some notations and functions in neutrosophic topological spaces, Neutrosophic sets and systems,vol 16, pp. 16-19, 2017.
[2] I. Arockiarani, I.R. Sumathi and J, Martina Jency, Fuzzy neutrosophic soft topological spaces, IJMA-4[10], oct-2013.
[3] K. Atanassov, Intuitionistic fuzzy sets, in V. Sgurev, ed., vii ITKRS Session, Sofia (June 1983 central Sci. and Techn. Library, Bulg. Academy of Sciences, 1983.
[4] Chahhtterjee, R.; Majumdar, P.; Samanta, S.K. On some similarity measures and entropy on quadripartithioned single valued neutrosophic sets. J. Int. Fuzzy Syst, 30, 2475–2485, 2016.
[5] M. Irfan Ali, F. Feng, X. Liu, W. K. Min and M. Shabir, “On some new operations in soft set theory”, Comput. Math Appl, 57, pp.1547-1553, 2009.
[6] D. Molodtsov, Soft set Theory - First Results, 37,pp.19-31,1999.
[7] P.K.Maji , R. Biswas ans A. R. Roy, Fuzzy soft sets, Journal of Fuzzy Mathematics, Vol. 9, no.3, pp – 589-602, 2001
[8] P. K. Maji, R. Biswas ans A. R. Roy, Intuitionistic Fuzzy soft sets, The journal of fuzzy Mathematics, Vol. 9, (3), pp.677 – 692, 2001.
[9] Pabitra Kumar Maji, Neutrosophic soft set, Annals of Fuzzy Mathematics and Informatics, Volume 5, No.1, ,pp.157-168, 2013.
[10] R. Radha ,A. Stanis Arul Mary,Quadripartitioned neutrosophic pythagorean sets(Communicated)
[11]R. Radha, A. Stanis Arul Mary, F. Smarandache, Neutrosophic pythagorean soft set with T and F as dependent components, Neutrosophic Sets and Systems, (submitted)
[12]A.A. Salama and S.A. Al – Blowi, Neutrosophic Set and Neutrosophic topological spaces, IOSR Journal of Math., Vol. (3) ISSUE4 ,pp. 31 – 35, 2012.
[13]M. Shabir and M. Naz, On soft topological spaces, Comput.Math.Appl. 61,pp.1786 – 1799, 2011.
[14]F. Smarandache, Degree of Dependence and independence of the sub components of fuzzy set and neutrosophic set, Neutrosophic sets and systems, vol 11,pp. 95-97, 2016.
[15] 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.
[16] F. Smarandache, Neutrosophic set, A generialization of the intuituionistics fuzzy sets, Inter. J. Pure Appl. Math., 24, pp.287 – 297, 2005.
[17] F. Smarandache: Extension of Soft Set to Hypersoft Set and then to Plithogenic Hypersoft Set, Neutrosophic Sets and Systems, vol. 22, pp. 168-170, 2018.
[18] B. Tanay and M.B. Kandemir, Topological structure of fuzzy soft sets, Comput.Math.Appl, 61, pp.2952 – 2957, 2001.
[19] Xindong Peng, Yong Yang, Some results for pythagorean fuzzy sets, International Journal of Intelligent systems,30,pp.1133-1160, 2015.
[20] L. A. Zadeh, Fuzzy Sets, Inform and Control , vol8, pp.338 – 353, 1965.
[21] Zhaowen Li, Rongchen cui, On the topological structure of intuitionistic fuzzy soft sets, Annals of Fuzzy Mathematics and Informatics, Volume 5, No.1, pp. 229-239, 2013.
[22] Zorlutuna, M. Akdag, W. K. Min, S. Atmaca, “Remarks on soft topological spaces”, Annals of Fuzzy Mathematics and Informatics, Volume3, No.2, pp.171-185, 2012.