Volume 17 , Issue 2 , PP: 96-109, 2021 | Cite this article as | XML | Html | PDF | Full Length Article
M. Lathamaheswari 1 * , Said Broumi 2 , Florentin Smarandache 3 , S. Sudha 4
Doi: https://doi.org/10.54216/IJNS.170202
Neutrosophical probability is concerned with inequitable and defective topics and processes. This is a subset of Neutrosophic measures that includes a prediction of an event (as opposed to indeterminacy) as well as a prediction of some unpredictability. When there is no such thing as a non-stochastic occurrence, the Neutrosophic probability is the probability of determining a stochastic process. It is a generalisation of classical probability, which states that the probability of correctly predicting an occurrence is zero. Until now, neutrosophic probability distributions have been derived directly from conventional statistical distributions, with fewer contributions to the determination of the for statistical distribution. We introduced the Poission distribution as a limiting case of the Binomial distribution for the first time in this study, and we also proposed Neutrosophic Exponential Distribution and Uniform Distribution for the first time. With numerical examples, the validity and soundness of the proposed notions were also tested.
Neutrosophic Statistics, Poisson,Uniform,Exponential, Probability distribution
[1] Zadeh. L,Fuzzy Sets. Inform.Control 8,(1965).
[2] Atanassov.K, Intuitionistic fuzzy sets. In V.Sgurev, ed., ITKRS Session, Sofia, June 1983, Central Sci. and Techn. Library, Bulg. Academy of Sciences, (1984).
[3] 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).
[4] Smarandache, F.A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability,American Research Press, Rehoboth, NM,1999.
[5] Smarandache, F.Neutrosophic set a generalization of the intuitionistic fuzzy sets. Inter. J.Pure Appl. Math.,24,287-297,(2005).
[6] Smarandache.F, Introduction to Neutrosophic Measure, Integral, Probability. Sitech Education Publisher, (2015).
[7] Hanafy, I.M,Salama,A.A and Mahfouz, K,Correlation of Neutrosophic Data, International Refereed Journal of Engineering and Science (IRJES),1(2),PP39-33,2012.
[8] Hanafy,I.M.,Salama,A.A, and Mahfouz, K.M Neutrosophic Classical Events and its Probability. International Journal of Mathematics and Computer Applications Research (IJMCAR), 3(1),171-178,(2013).
[9] Salama, A.A, and Alblowi,S.A,Generalized Neutrosophic Set and Generalized Neutrosophic Sapace. Journal Computer Sci. Engineering, 2(7),129-132,(2012).
[10] Salama,A.A, and Alblowi, S.A,Neutrosophic Set and Neutrosophic Topological Spaces, ISOR J. Mathematics, 3(3),31-35,(2012).
[11] Mondal, K., Pramanik, S., & Smarandache, F. NN-harmonic mean aggregation operators-based MCGDM strategy in a Neutrosophic number environment. Axoims 2018,7.12: DOI:10.3390/axioms7010012.
[12] Pramanik,S., & Dey,P.P (2018). Bi-level linear programming problem with Neutrosophic numbers. Neutrosophic Sets and Systems, 21,110-121. Https://doi.org/10.5281/zenoda.1408663.
[13] Pramanik, S., Banerjee, D.(2018). Neutrosophic number goal programming for multi-objective linear programming problem inneutrosophic number environment. MOJ Current Research & Review, 1(3),135-141. DOI:10.15406/mojcrr.2018.01.0021.
[14] Banerjee, D.Pramanik,S (2018). Single-objective linear goal programming problem with Neutrosophic numbers. International, Journal of Engineering Science & Research Technology, 7(5),454-469.
[15] Florentin Smarandache: A Unifying Field in Logic,Neutorsophy, Neutrosophic Set,Neutrosophic Probability and Statistics (Sixth Edition). InfoLearn Quest, 1998-2007,156 p.http://fs.unm.edu/eBook-Neutrosophics6.pdf.
[16] Florentin Smarandache: Neurosophic Overset, Neutrosophic Underset, and Neutrosophic Offset.Similarly for Neutrosophic Over-/Under-/Off-Logic,Probability, and Statistics. Pons Editions, Brussels, 2016, 168p.http://fs.unm.edu/Neutosophic Overset UndersetOffset.pdf.
[17] Salama.A.A, Smarandache. F, Neutrosophic Crisp Set Theory. Education Publishing, Columbus, (2015).
[18] Salama. A.A, Smarandache. F, and Kroumov. V,Neutrosophic Crisp Sets & Neutrosophic Crisp Topological Spaces. Neutrosophic Sets and Systems, Vol. 2, pp.25-30, (2014).
[19] Smarandache.F, Neutorsophical statistics Sitech & Education publishing,(2014).
[20] Patro.S.K,Smarandache. F. The Neutrosophic Statistics Distribution, More Problems, More Solutions. Neutrosophic Sets and Systems, Vol.12,(2016).
[21] Rafif Alhabib, Moustafa Mzher Ranna et.al “Some Neutrosophic Probability Distributions” Neutrosophic Sets and Systems, Vol.22,(2018).
[22] S.K. Patr,F.Smarandache “The Neutrosophic Statistical Distribution, more problems, more solutions” Neutrosophic Sets and Systems,Vol.12,(2016).
[23] Gupta.A.C.Kapoor.V.K.Mathematics Statistics, Schand publisher, India,(2009).
