1
Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam-638401, Tamil Nadu, India.
(rishwanthpari@gmail.com)
2
Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam-638401, Tamil Nadu, India.
(karthikamuthusamy1991@gmail.com)
3
Department of Mathematics, Coimbatore Institute of Technology, Coimbatore, Tamil Nadu, India.
(muralisvino@gmail.com)
4
Mathematics & Science Department, University of New Mexico, 705 Gurley Ave., Gallup, NM 87301, USA
(fsmarandache@gmail.com)
5
Department of Mathematics, University of the Punjab Lahore, Pakistan
(mriaz.math@pu.edu.pk)
6
jafaripersia@gmail.com
(College of Vestsjaelland South, Herrestraede 11, 4200 Slagelse, Denmark)
Abstract :
The scope of this manuscript is to instigate the present-day perception of complex neutrosophic nano topological spaces and delve into a few of its spectacles. We also illustrate the spectacles with numerical quantities. Decision making plays an important role to diagnose a diseases in medical field. So a method is developed to achieve this under complex neutrosophic nano topological spaces (CNNTSs). A comparative assessment is provided to demonstrate the distinction between the unique concept and the existing approaches.
Keywords :
complex neutrosophic topology , complex neutrosophic nano topological spaces , complex neutrosophic nano-closed sets , complex neutrosophic interior and closure
References :
[1] M. Ali, F. Smarandache. Complex neutrosophic set. Neural Computing and Applications, 12, 2015. DOI:10.1007/s00521-015-2154-y.
[2] I. Arokiarani, R. Dhavaseelan, S. Jafari, M. Parimala. On some new notions and functions in neutrosophic topological spaces, Neutrosophic Sets Syst., 16, pp. 16-19, 2017.
[3] K. T. Atanassov. Intuitionstic fuzzy sets, Fuzzy sets and systems, 20, pp. 87-96, 1986.
[4] D. Coker. An introduction to fuzzy topological spaces, Fuzzy sets and systems, 88, pp. 81-89, 1997.
[5] K. Kuratowski.Topology Vol. II (transl.), Academic Press, New York, 1966.
[6] M. Karthika, M. Parimala, S. Jafari, F. Smarandache, Mohammad Alshumrani, Cenap Ozel, R. Udhayakumar. Neutrosophic complex αψ connectedness in neutrosophic complex topological spaces. Neutrosophic sets and systems, 29, pp. 158-164, 2019.
[7] M. Lellis Thivagar, S. Jafari, V. Sutha Devi,V. Antonysamy, A novel approach to nano topology via neutrosophic sets, Neutrosophic sets and systems, 20, pp. 86-94, 2018.
[8] M. Parimala, S. Jafari, and S. Murali, Nano Ideal Generalized Closed Sets in Nano Ideal Topological Spaces,
Annales Univ. Sci. Budapest., 60, pp. 3-11, 2017.
[9] M. Parimala, R. Jeevitha, S. Jafari, F. Smarandache and R. Udhayakumar. Neutrosophic αψ-Homeomorphism in
Neutrosophic Topological Spaces, Information,9, 187, pp. 1-10, 2018. doi:10.3390/info9080187.
[10] M.Parimala, R.Jeevitha, A.Selvakumar. A New Type of Weakly Closed Set in Ideal Topological Spaces, International Journal of Mathematics and its Applications, 5(4-C), pp. 301-312, 2017.
[11] M. Parimala, M. Karthika, R. Dhavaseelan, S. Jafari. On neutrosophic supra pre-continuous functions in neutrosophic topological spaces, New Trends in Neutrosophic Theory and Applications , 2, pp. 371-383, 2018.
[12] M. Parimala, M. Karthika, S. Jafari, F. Smarandache , R. Udhayakumar. Neutrosophic nano ideal topological structures, Neutrosophic sets and systems, 24, pp. 70-77, 2019.
[13] M. Parimala, M. Karthika, S. Jafari, F. Smarandache, R. Udhayakumar. Decision-Making via Neutrosophic
Support Soft Topological Spaces. Symmetry, 10, pp. 1-10, 2018. doi:10.3390/sym10060217
[14] M. Parimala and R. Perumal, Weaker form of open sets in nano ideal topological spaces, Global Journal of Pure and Applied Mathematics, 12(1), pp. 302-305,2016.
[15] M. Parimala, F. Smarandache, S. Jafari, R. Udhayakumar, On Neutrosophic αψ -Closed Sets, Information, 9,
103, pp. 1-7, 2018.
[16] M. Riaz, F. Smarandache, F. Karaaslan, M. R. Hashmi, I. Nawaz. Neutrosophic Soft Topology and its Applications to Multi-Criteria Decision Making. Neutrosophic sets and systems,35, pp. 198-219, 2020.
[17] M. Riaz, Naeem, K.; Zareef, I. Afzal, D. Neutrosophic N-Soft Sets with TOPSIS method for Multiple Attribute
Decision Making. Neutrosophic sets and systems, 32, pp. 1-24, 2020.
[18] M. Riaz, B. Davvaz, A. Fakhar, A. Firdous. Hesitant fuzzy soft topology and its applications to multi-attribute group decision-making. Soft Computing, pp. 1-21, 2020. https://doi.org/10.1007/s00500-020-04938-0.
[19] M. Riaz, S.T. Tehrim. Cubic bipolar fuzzy set with application to multi-criteria group decision making using geometric aggregation operators. Soft Computing, 2020, https://doi.org/10.1007/s00500-020-04927-3.
[20] A. A. Salama, S. A. Alblowi. Neutrosophic Set and Neutrosophic Topological Spaces, IOSR J. Math., 3, pp. 31-35, 2012.
[21] A. A. Salama. Florentin Smarandache, Valeri Kromov. Neutrosophic Closed Set and Neutrosophic Continuous
Functions, Neutrosophic Sets and Systems, 4, pp. 4-8, 2014.
[22] F. Smarandache. Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy, Neutrosophic Logic Set, Probability and Statistics; University of New Mexico, Gallup, NM, USA, 2002.
[23] F. Smarandache. A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic
Probability, American Research Press, Rehoboth, NM, USA, 1999.
[24] F. Smarandache. Extension of HyperGraph to n-SuperHyperGraph and to Plithogenic n-SuperHyperGraph, and
Extension of HyperAlgebra to n-ary (Classical-/Neutro-/Anti-) HyperAlgebra, Neutrosophic Sets and Systems, 33, pp. 290-296, 2020.
[25] L. A. Zadeh. Fuzzy Sets, Information and Control, 18, pp. 338-353, 1965.
[26] F. Zafer, M. Akram, A novel decision-making method based on rough fuzzy information. Int. J. Fuzzy Syst.
2017. doi:10.1007/s40815-017-0368-0.
| Style | # |
|---|---|
| MLA | Mani Parimala, Muthusamy Karthika, Sivaraman Murali, Florentin Smarandache, Muhammad Riaz, Saeid Jafari. "Multi Criteria Decision Making Algorithm Via Complex Neutrosophic Nano Topological Spaces." International Journal of Neutrosophic Science, Vol. 17, No. 2, 2021 ,PP. 127 - 143 (Doi : https://doi.org/10.54216/IJNS.170204) |
| APA | Mani Parimala, Muthusamy Karthika, Sivaraman Murali, Florentin Smarandache, Muhammad Riaz, Saeid Jafari. (2021). Multi Criteria Decision Making Algorithm Via Complex Neutrosophic Nano Topological Spaces. Journal of International Journal of Neutrosophic Science, 17 ( 2 ), 127 - 143 (Doi : https://doi.org/10.54216/IJNS.170204) |
| Chicago | Mani Parimala, Muthusamy Karthika, Sivaraman Murali, Florentin Smarandache, Muhammad Riaz, Saeid Jafari. "Multi Criteria Decision Making Algorithm Via Complex Neutrosophic Nano Topological Spaces." Journal of International Journal of Neutrosophic Science, 17 no. 2 (2021): 127 - 143 (Doi : https://doi.org/10.54216/IJNS.170204) |
| Harvard | Mani Parimala, Muthusamy Karthika, Sivaraman Murali, Florentin Smarandache, Muhammad Riaz, Saeid Jafari. (2021). Multi Criteria Decision Making Algorithm Via Complex Neutrosophic Nano Topological Spaces. Journal of International Journal of Neutrosophic Science, 17 ( 2 ), 127 - 143 (Doi : https://doi.org/10.54216/IJNS.170204) |
| Vancouver | Mani Parimala, Muthusamy Karthika, Sivaraman Murali, Florentin Smarandache, Muhammad Riaz, Saeid Jafari. Multi Criteria Decision Making Algorithm Via Complex Neutrosophic Nano Topological Spaces. Journal of International Journal of Neutrosophic Science, (2021); 17 ( 2 ): 127 - 143 (Doi : https://doi.org/10.54216/IJNS.170204) |
| IEEE | Mani Parimala, Muthusamy Karthika, Sivaraman Murali, Florentin Smarandache, Muhammad Riaz, Saeid Jafari, Multi Criteria Decision Making Algorithm Via Complex Neutrosophic Nano Topological Spaces, Journal of International Journal of Neutrosophic Science, Vol. 17 , No. 2 , (2021) : 127 - 143 (Doi : https://doi.org/10.54216/IJNS.170204) |