Clustering Neutrosophic Data Sets and Neutrosophic Valued Metric Spaces
1
Department of Mathematics, Faculty of Science, İstanbul University, İstanbul 34134, Turkey
2
Department of Mathematics, Faculty of Science and Arts, Bitlis Eren University, Bitlis 13000, Turkey
3
Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA
*
Author to whom correspondence should be addressed.
Symmetry 2018, 10(10), 430; https://doi.org/10.3390/sym10100430
Received: 5 August 2018 / Revised: 11 September 2018 / Accepted: 21 September 2018 / Published: 24 September 2018
(This article belongs to the Special Issue Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets)
In this paper, we define the neutrosophic valued (and generalized or G) metric spaces for the first time. Besides, we newly determine a mathematical model for clustering the neutrosophic big data sets using G-metric. Furthermore, relative weighted neutrosophic-valued distance and weighted cohesion measure, is defined for neutrosophic big data set. We offer a very practical method for data analysis of neutrosophic big data although neutrosophic data type (neutrosophic big data) are in massive and detailed form when compared with other data types.
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Keywords:
G-metric; neutrosophic G-metric; neutrosophic sets; clustering; neutrosophic big data; neutrosophic logic
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
MDPI and ACS Style
Taş, F.; Topal, S.; Smarandache, F. Clustering Neutrosophic Data Sets and Neutrosophic Valued Metric Spaces. Symmetry 2018, 10, 430. https://doi.org/10.3390/sym10100430
AMA Style
Taş F, Topal S, Smarandache F. Clustering Neutrosophic Data Sets and Neutrosophic Valued Metric Spaces. Symmetry. 2018; 10(10):430. https://doi.org/10.3390/sym10100430
Chicago/Turabian StyleTaş, Ferhat; Topal, Selçuk; Smarandache, Florentin. 2018. "Clustering Neutrosophic Data Sets and Neutrosophic Valued Metric Spaces" Symmetry 10, no. 10: 430. https://doi.org/10.3390/sym10100430
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