Volume 17 • Issue 2 • PP: 127 - 143 • 2021
Multi Criteria Decision Making Algorithm Via Complex Neutrosophic Nano Topological Spaces
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© 2021 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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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
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.
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