413 219
Full Length Article
Volume 3 , Issue 1, PP: 14-20 , 2020

Title

Using Moving Averages To Pave The Neutrosophic Time Series

Authors Names :   Rafif Alhabib *   1 *     A. A. Salama   2  

1  Affiliation :  Department of Mathematical Statistics, Faculty of Science, Albaath University, Homs, Syria

    Email :  rafif.alhabib85@gmail.com


2  Affiliation :  Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt

    Email :   drsalama44@gmail.com



Doi   :  10.5281/zenodo.3732611


Abstract :

In this paper, were using moving averages to pave the Neutrosophic time series. similar to use moving averages to pave the classical time series. the difference, here were dealing with inaccurate data and values of the time series.in the Neutrosophic time series, each unit of time(t) corresponds to a range of values instead of a single value.  Finally, we find that the Neutrosophic time series provide an accurate description of the behavior of the series better than in the classic. Therefore, can predict the future of the series as accurately as possible.

Keywords :

Time Series , Neutrosophic logic , Neutrosophic Time Series , moving averages

References :

[1]    ZADEH, L. A.” Fuzzy Sets,” Inform. Control 8,1965.

[2]    Smarandache, F.” Introduction to Neutrosophic statistics,” Sitech & Education Publishing, 2014.

[3]    Atanassov .k, “Intuitionistic fuzzy sets,” In V. Sgurev, ed., ITKRS Session, Sofia, June 1983, Central Sci. and Techn. Library, Bulg.  Academy of Sciences, 1984.

[4]    Smarandache, F, “Neutrosophy and Neutrosophic Logic,” First International Conference on Neutrosophy , Neutrosophic Logic, Set, Probability, and Statistics University of New Mexico, Gallup, NM 87301, USA,2002.

[5]    Smarandache, F. “A Unifying Field in Logics: Neutrosophic Logic,” Neutrosophy, Neutrosophic Set, Neutrosophic Probability. American Research Press, Rehoboth, NM, 1999.

[6]    Smarandache, F, “Neutrosophic set a generalization of the intuitionistic fuzzy sets,” Inter. J. Pure Appl. Math., 24, pp.287 – 297, 2005.

[7]    Salama, A. A, Smarandache, F, and Kroumov, V, “Neutrosophic crisp Sets & Neutrosophic crisp Topological Spaces. Sets and Systems,” 2(1), pp.25-30, 2014. 

[8]    Smarandache, F. & Pramanik, S. (Eds). (2016). New trends in neutrosophic theory and applications. Brussels: Pons Editions.

[9]    Alhabib.R, The Neutrosophic Time Series, the Study of Its Linear Model, and test Significance of Its Coefficients. Albaath University Journal, Vol.42, 2020. (Arabic version). 

[10]  Alhabib.R, Ranna.M, Farah.H and Salama, A. A, “Neutrosophic Exponential Distribution,” Albaath University Journal, Vol.40, 2018. (Arabic version). 

[11]  Alhabib.R, Ranna.M, Farah.H and Salama, A. A, “studying the random variables according to Neutrosophic logic,” Albaath- University Journal, Vol (39), 2017. (Arabic version).   

[12]  Alhabib.R, Ranna.M, Farah.H and Salama, A. A, Neutrosophic decision-making & neutrosophic decision tree. Albaath- University Journal, Vol (40), 2018. (Arabic version).   

[13]  Alhabib.R, Ranna.M, Farah.H and Salama, A. A, “Studying the Hypergeometric probability distribution according to neutrosophic logic,”Albaath- University Journal, Vol (40), 2018.(Arabic version). 

[14]  Salama, A. A., Smarandache, F. “Neutrosophic Crisp Set Theory,” Educational. Education Publishing 1313 Chesapeake, Avenue, Columbus, Ohio 43212, 2015.

[15]  Salama, A.  A.  and Smarandache, F. "Neutrosophic crisp probability theory & decision making   process." Critical Review: A Publication of Society for Mathematics of Uncertainty, vol. 12, p. 34-48, 2016.

[16]  Alhabib, R., M. Ranna, H. Farah and Salama, A. A,  ''Foundation of Neutrosophic Crisp Probability Theory'', Neutrosophic  Operational Research, Volume III  , Edited by Florentin Smarandache,  Mohamed Abdel-Basset and Dr. Victor Chang (Editors), pp.49-60, 2017.

[17]  Alhabib, R., Ranna, M., Farah, H. and Salama, A. “ Some neutrosophic probability distributions,” Neutrosophic Sets and Systems, 22, pp.30-38, 2018.

[18]  Aslam, M., Khan, N. and Khan, M.A. “Monitoring the Variability in the Process Using the Neutrosophic Statistical Interval Method,” Symmetry, 10 (11), 562, 2018.

[19]  Aslam, M., Khan, N. and AL-Marshadi, A. H,”Design of Variable Sampling Plan for Pareto Distribution Using Neutrosophic Statistical Interval Method,” Symmetry, 11 (1), 80, 2019

[20]  Aslam, M. “Control Chart for Variance using Repetitive Sampling under Neutrosophic Statistical Interval System”  IEEE Access, 7 (1), pp.25253-25262, 2019.

[21]  Victor Christianto , Robert N. Boyd , Florentin Smarandache, “Three possible applications of Neutrosophic Logic in Fundamental and Applied Sciences,” International Journal of Neutrosophic Science,  Volume 1 , Issue 2, PP: 90-95 , 2020.

[22]  Madeleine Al- Tahan, “Some Results on Single Valued Neutrosophic (Weak) Polygroups,” International Journal of Neutrosophic Science,   Volume 2 , Issue 1, PP: 38-46 , 2020.

[23]  Singh, P. and Huang, Y.-P.”A New Hybrid Time Series Forecasting Model Based on the Neutrosophic Set and Quantum Optimization,” Computers in Industry (Elsevier), 111, pp.121–139, 2019.