Convergence of Neutrosophic Random Variables

Yıl 2023, Cilt: 7 Sayı: 1, 178 - 188, 31.03.2023

Carlos Granados

https://doi.org/10.31197/atnaa.1145837

Öz

In this paper, we propose and study convergence of neutrosophic random variables. Besides, some relations among these convergences are proved. Besides, we define the notion of neutrosophic weak law of large number and neutrosophic central limit theorem, also some applications examples are shown.

Anahtar Kelimeler

Neutrosophic logic, neutrosophic random variable, convergence of neutrosophic random variables

Kaynakça

• [1] M. Abdel-Basset, N.A. Nabeeh, H.A. El-Ghareeb and A. Aboelfetouh, Utilizing Neutrosophic Theory to Solve Transition Di?culties of IoT-Based Enterprises, Enterprise Information Systems, 14(9-10)(2019), 1304-1324.
• [2] R. Alhabib, M.M. Ranna, H. Farah and A. Salama, Some Neutrosophic Probability Distributions, Neutrosophic Sets and Systems, 22(2018), 30-38.
• [3] R. Alhabib and A.A. Salama, The Neutrosophic Time Series-Study Its Models (Linear-Logarithmic) and test the Coe?cients Signi?cance of Its linear model, Neutrosophic Sets and Systems, 33(2020), 105-115.
• [4] R. Alhabib and A.A. Salama, Using Moving Averages To Pave The Neutrosophic Time Series, International Journal of Neutrosophic Science, 3(1)(2020), 14-20.
• [5] M. Ali, F. Smarandache, M. Shabir and L. Vladareanu, Generalization of Neutrosophic Rings and Neutrosophic Fields, Neutrosophic Sets and Systems, 5(2014), 9-14.
• [6] J. Anuradha and V.S., Neutrosophic Fuzzy Hierarchical Clustering for Dengue Analysis in Sri Lanka, Neutrosophic Sets and Systems, 31(2020), 179-199.
• [7] M. Bisher and A. Hatip, Neutrosophic Random variables, Neutrosophic Sets and Systems, 39(2021), 45-52.
• [8] A. Chakraborty, B. Banik, S.P. Mondal and S. Alam, Arithmetic and Geometric Operators of Pentagonal Neutrosophic Number and its Application in Mobile Communication Service Based MCGDM Problem, Neutrosophic Sets and Systems, 32(2020), 61-79.
• [9] S. Das, R. Das, C. Granados, A. Mukherjee, Pentapartitioned neutrosophic Q-ideals of Q-algebra, Neutrosophic Sets and Systems 41(2021), 53-63.
• [10] S. Das, R. Das, C. Granados, Topology on quadripartitioned neutrosophic sets, Neutrosophic Sets and Systems 45(2021), 54-61.
• [11] O. A. Ejaita and P. Asagba, An Improved Framework for Diagnosing Confusable Diseases Using Neutrosophic Based Neural Network, Neutrosophic Sets and Systems, 16(2017), 28-34.
• [12] L. Esther Valencia Cruzaty, M. Reyes Tomalá and C. Manuel Castillo Gallo, A Neutrosophic Statistic Method to Predict Tax Time Series in Ecuador, Neutrosophic Sets and Systems, 34(2020), 33-39.
• [13] C. Granados, New results on neutrosophic random variables. Neutrosophic Sets and Systems, 47(2021), 286-297.
• [14] C. Granados and J. Sanabria, On independence neutrosophic random variables, Neutrosophic Sets and Systems, 47(2021), 541-557.
• [15] C. Granados and A. Dhital, Statistical Convergence of Double Sequences in Neutrosophic Normed Spaces, Neutrosophic Sets and Systems, 42(2021), 333-344.
• [16] C. Granados, A. Dhital, New results on Pythagorean neutrosophic open sets in Pythagorean neutrosophic topological spaces, Neutrosophic Sets and Systems 43(2021), 12-23.
• [17] C. Granados, Una nueva noción de conjuntos neutrosóficos a través de los conjuntos ∗ b-abiertos en espacios topológicos neutrosóficos, Eco Matemático 12(2)(2021), 1-12.
• [18] C. Granados, Un nuevo estudio de los conjuntos supra neutrosophic crisp, Revista Facultad de Ciencias Básicas 16(2)(2020), 65-75.
• [19] C. Granados, A.K. Das, B. Das, Some continuous neutrosophic distributions with neutrosophic parameters based on neutrosophic random variables, Advances in the Theory of Nonlinear Analysis and its Applications 6(3)(2022), 380-389.
• [20] C. Granados, Some discrete neutrosophic distributions with neutrosophic parameters based on neutrosophic random vari- ables, Hacettepe Journal of Mathematics & Statistics 51(5)(2022), 1442-1457.
• [21] K. Hamza Alhasan and F. Smarandache, Neutrosophic Weibull distribution and Neutrosophic Family Weibull Distribution, Neutrosophic Sets and Systems, 28(2019), 191-199.
• [22] H. Kamaci, Neutrosophic Cubic Hamacher Aggregation Operators and Their Applications in Decision Making, Neutrosophic Sets and Systems, 33(2020), 234-255.
• [23] W.B.V. Kandasamy and F. Smarandache, Neutrosophic Rings, Hexis, Phoenix, Arizona: Infinite Study, 2006.
• [24] M.M. Lotfy, S. ELhafeez, M. Eisa and A.A. Salama, Review of Recommender Systems Algorithms Utilized in Social Networks based e-Learning Systems & Neutrosophic System,Neutrosophic Sets and Systems, 8(2015), 32-41.
• [25] A. Mustafa, O. Zeitouny, S. Alabdallah, Neutrosophic stable random variables, Neutrosophic Sets and Systems 50(2022), 420-430. [26] N.A. Nabeeh, M. Abdel-Basset and G. Soliman, A model for evaluating green credit rating and its impact on sustainability performance, Journal of Cleaner Production, 280(1)(2021), 124-299.
• [27] N.A. Nabeeh, F. Smarandache, M. Abdel-Basset, H.A. El-Ghareeb and A. Aboelfetouh, An Integrated Neutrosophic- TOPSIS Approach and its Application to Personnel Selection: A New Trend in Brain Processing and Analysis, IEEE Access, 29734-29744, 2017.
• [28] N.A. Nabeeh, M. Abdel-Basset, H.A. El-Ghareeb and A. Aboelfetouh , Neutrosophic Multi-Criteria Decision Making Approach for IoT-Based Enterprises, IEEE Access, 2019.
• [29] N. Olgun and A. Hatip, The Effect Of The Neutrosophic Logic On The Decision Making, in Quadruple Neutrosophic Theory And Applications, Belgium, EU, Pons Editions Brussels, 2020, 238-253.
• [30] S.K. Patro and F. Smarandache, The neutrosophic statistical distribution, more problems, more solutions, Neutrosophic Sets and Systems, 12(2016), 73-79.
• [31] R. Sahin, Neutrosophic Hierarchical Clustering Algoritms, Neutrosophic Sets and Systems, 2(2014), 19-24.
• [32] M. Sahin, N. Olgun, V. Uluçay, A. Kargin and F. Smarandache, A New Similarity Measure Based on Falsity Value between Single Valued Neutrosophic Sets Based on the Centroid Points of Transformed Single Valued Neutrosophic Numbers with Applications to Pattern Recognition, Neutrosophic Sets and Systems, 15(2017), 31-48.
• [33] A. Salama, A. Sharaf Al-Din, I. Abu Al-Qasim, R. Alhabib and M. Badran, Introduction to Decision Making for Neutro- sophic Environment Study on the Suez Canal Port, Neutrosophic Sets and Systems, 35(2020), 22-44.
• [34] G. Shahzadi, M. Akram and A.B. Saeid, An Application of Single-Valued Neutrosophic Sets in Medical Diagnosis, Neu- trosophic Sets and Systems, 18(2017), 80-88.
• [35] F. Smarandache, Neutrosophic Set a Generalization of the Intuitionistic Fuzzy Sets, Inter. J. Pure Appl. Math., 2005, 287-297.
• [36] F. Smarandache, Introduction to Neutrosophic Statistics, USA: Sitech & Education Publishing, 2014.
• [37] F. Smarandache, Introduction to Neutrosophic Measure, Neutrosophic Integral and Neutrosophic Probability, Craiova, Romania: Sitech - Education, 2013.
• [38] F. Yuhua, Neutrosophic Examples in Physics, Neutrosophic Sets and Systems, 1(2013), 26-33.
• [39] M.B. Zeina, Neutrosophic Event-Based Queueing Model, International Journal of Neutrosophic Science ,6(1)(2020), 48-55.
• [40] M.B. Zeina, Erlang Service Queueing Model with Neutrosophic Parameters, International Journal of Neutrosophic Science, 6(2)(2020), 106-112.
• [41] M.B. Zeina and A. Hatip, Neutrosophic random variables. Neutrosophic Sets and Systems, 39(2021), 44-52.