Some discrete neutrosophic distributions with neutrosophic parameters based on neutrosophic random variables

Year 2022, , 1442 - 1457, 01.10.2022

Carlos Granados

https://doi.org/10.15672/hujms.1099081

Cited By: 6

Abstract

The study of random variables and their distributions have been a great area of interest for many researchers. Recently the study of neutrosophic random variables have been introduced, that is why, in this paper, we apply discrete random distribution such as the uniform discrete distribution, Bernoulli distribution, binomial distribution, geometric distribution, negative binomial distribution, hypergeometric distribution and Poisson distribution by using neutrosophic random variables. This study opens a new way for dealing with issues that follow the classical distributions which appear in classical random variables and at the same time contain data not specified accurately.

Keywords

Neutrosophic logic, neutrosophic random variable, neutrosophic discrete distributions, neutrosophic probability

References

• [1] M. Abdel-Basset, N.A. Nabeeh, H.A. El-Ghareeb and A. Aboelfetouh, Utilizing neutrosophic theory to solve transition difficulties of IoT-based enterprises, Enterp. Inf. Syst. 14 (9-10), 1304–1324, 2019.
• [2] R. Alhabib, M.M. Ranna, H. Farah and A. Salama, Some neutrosophic probability distributions, Neutrosophic Sets Syst. 22, 30–38, 2018.
• [3] R. Alhabib and A.A. Salama, The neutrosophic time series-study its models (linearlogarithmic) and test the coefficients significance of its linear model, Neutrosophic Sets Syst. 33, 105–115, 2020.
• [4] K.F.H. Alhasan and F. Smarandache, Neutrosophic Weibull distribution and neutrosophic family Weibull distribution, Neutrosophic Sets Syst. 28, 191–199, 2019.
• [5] M. Ali, F. Smarandache, M. Shabir and L. Vladareanu, Generalization of neutrosophic rings and neutrosophic fields, Neutrosophic Sets Syst. 5, 9–14, 2014.
• [6] M. Bisher and A. Hatip, Neutrosophic random variables, Neutrosophic Sets Syst. 39, 45–52, 2021.
• [7] 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 Syst. 32, 61–79, 2020.
• [8] L.E.V. Cruzaty, M.R. Tomalá and C.M.C. Gallo, A neutrosophic statistic method to predict tax time series in Ecuador, Neutrosophic Sets Syst. 34, 33–39, 2020.
• [9] S. Das, R. Das and C. Granados, Topology on quadripartitioned neutrosophic sets, Neutrosophic Sets Syst. 45, 54-61, 2021.
• [10] S. Das, R. Das, C. Granados and A. Mukherjee, Pentapartitioned neutrosophic Qideals of Q-algebra, Neutrosophic Sets Syst. 41, 53-63, 2021.
• [11] O.A. Ejaita and P. Asagba, An improved framework for diagnosing confusable diseases using neutrosophic based neural network, Neutrosophic Sets Syst. 16, 28–34, 2017.
• [12] C. Granados, Un nuevo estudio de los conjuntos supra neutrosophic crisp, Revista Facultad de Ciencias Básicas 16 (2), 65–75, 2020.
• [13] C. Granados, Una nueva noció de conjuntos neutrosóficos a través de los conjuntos ∗b-abiertos en espacios topológicos neutrosóficos, Eco Matemático 12 (2), 1–12, 2021.
• [14] C. Granados, New results on neutrosophic random variables, Neutrosophic Sets Syst. 47, 286–297, 2021.
• [15] C. Granados and A. Dhital, Statistical convergence of double sequences in neutrosophic normed spaces, Neutrosophic Sets Syst. 42, 333–344, 2021.
• [16] C. Granados, A. Dhital, New results on Pythagorean neutrosophic open sets in Pythagorean neutrosophic topological spaces, Neutrosophic Sets Syst. 43, 12–23, 2021.
• [17] C. Granados and J. Sanabria, On independence neutrosophic random variables, Neutrosophic Sets Syst. 47, 541–557, 2021.
• [18] H. Kamaci, Neutrosophic cubic Hamacher aggregation operators and their applications in decision making, Neutrosophic Sets Syst. 33, 234–255, 2020.
• [19] N.A. Nabeeh, M. Abdel-Basset and G. Soliman, A model for evaluating green credit rating and its impact on sustainability performance, J. Clean. Prod. 280 (1), 124–299, 2021.
• [20] 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 7, 29734–29744, 2017.
• [21] N. Olgun and A. Hatip, The Effect of the Neutrosophic Logic on The Decision Making, in Quadruple Neutrosophic Theory and Applications, Pons Editions Brussels, Belgium, 2020.
• [22] S.K. Patro and F. Smarandache, The neutrosophic statistical distribution, more problems, more solutions, Neutrosophic Sets Syst. 12, 73–79, 2016.
• [23] M. Sahin, N. Olgun, V. Uluçay, A. Kargn 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 Syst. 15, 31–48, 2017.
• [24] R. Sahin, Neutrosophic hierarchical clustering algorithms, Neutrosophic Sets Syst. 2, 19–24, 2014.
• [25] A.A. Salama, M. Eisa, S. ELhafeez and M.M. Lotfy, Review of recommender systems algorithms utilized in social networks based e-learning systems & neutrosophic system, Neutrosophic Sets Syst. 8, 32–41, 2015.
• [26] A. Salama, A. Sharaf Al-Din, I. Abu Al-Qasim, R. Alhabib and M. Badran, Introduction to decision making for neutrosophic environment study on the Suez Canal Port, Neutrosophic Sets Syst. 35, 22–44, 2020.
• [27] A.A. Salama, F. Smarandache and V. Kroumov, Neutrosophic crisp sets & neutrosophic crisp topological spaces, Neutrosophic Sets Syst. 2, 25–30, 2014.
• [28] G. Shahzadi, M. Akram and A.B. Saeid, An application of single-valued neutrosophic sets in medical diagnosis, Neutrosophic Sets Syst. 18, 80–88, 2017.
• [29] F. Smarandache, Neutrosophic set a generalization of the intuitionistic fuzzy sets, Inter. J. Pure Appl. Math. 24 (3), 287–297, 2005.
• [30] F. Smarandache, Introduction to Neutrosophic Measure, Neutrosophic Integral and Neutrosophic Probability, Sitech - Education, 2013.
• [31] S. Vandhana and J. Anuradha, Neutrosophic fuzzy hierarchical clustering for dengue analysis in Sri Lanka, Neutrosophic Sets Syst. 31, 179–199, 2020.
• [32] F. Yuhua, Neutrosophic examples in physics, Neutrosophic Sets Syst. 1, 26–33, 2013.
• [33] M.B. Zeina, Neutrosophic event-based queueing model, Int. J. Neutrosophic Sci. 6 (1), 48–55, 2020.
• [34] M.B. Zeina, Erlang service queueing model with neutrosophic parameters, Int. J. Neutrosophic Sci. 6 (2), 106–112, 2020.