Volume 25 , Issue 2 , PP: 338-352, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
S. Sudha 1 , B. Felcia Merlin 2 , B. Shoba 3 , A. Rajkumar 4 *
Doi: https://doi.org/10.54216/IJNS.250229
Quadripartitioned neutrosophic set is an extension of neutrosophic set and n-valued neutrosophic logic for solving real-world issues. In order to demonstrate the validity of the suggested idea, this paper's major goal is to provide several quadripentapartition neutrosophic probability distributions with numerical examples. Neutosophic probability has up till now been obtained from traditional statistical distributions, with less contributions to the statistical distribution's creation. With the help of numerical examples, we introduced the quadripartition neutrosophic binomial distribution, the quadripartitioned Poisson distribution, and the quadripartitioned Poisson distribution as a limiting case of the neutrosophic binomial distribution. We also proposed the quadripartitioned exponential distribution and the quadripartitioned uniform distribution. This paper paves the door for addressing problems that adhere to the classical distributions while still include inaccurately stated data.
Neutrosophic probability distributions , neutrosophic binomial distribution , quadripartitioned Poisson probability , quadripartitioned uniform probability , quadripartitioned exponential probability
[1] Smarandache, F. (1998). A unifying field in logics, neutrosophy: neutrosophic probability, set and logic. Rehoboth, American Research Press.
[2] Atanassov, K.T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 87-96.
[3] Patro, S., & Smarandache, F. (2016). The neutrosophic statistical distribution, more problems, more solutions. Neutrosophic Sets and Systems, Vol.12, 73-79.
[4] Sherwani, M., Aslam, M., Farooq, M., Abid, M., & Tahir, M. (2021). Neutrosophic normal probability distribution-A spine of parametric neutrosophic statistical tests: Properties and applications. Neutrosophic Operational Research, 153-169, Springer, Berlin, Germany, 2021.
[5] Smarandache, F. (2014). Introduction to Neutrosophic Statistics, Sitech & Education Publishing.
[6] Alhabib, R., Mzher, R.M., Farah, H., & Salama, A. A (2018). Some neutrosophic probability distributions. Neutrosophic Sets and Systems, Vol.22, 30-38.
[7] Aslam, M., Bantan, R. A. R., & Khan, N. (2019). Monitoring the process based on belief statistic for neutrosophic gamma distributed product. Processes, Vol.7 (4), 209-219.
[8] Alhasan, K.F.H., & Smarandache, F. (2019). Neutrosophic Weibull distribution and neutrosophic family weibull distribution. Neutrosophic Sets and Systems, Vol.28 (1), 191-199.
[9] Sherwani,R. A.K. (2021). Neutrosophic beta distribution with properties and applications. Neutrosophic Sets and Systems, Vol.41, 209-214.
[10] Bhutani, K., Kumar, M., & Aggarwal, S. (2015). Multi-attribute data classification using neutrosophic probability. 2015 Annual IEEE India Conference (INDICON). Doi:10.1109/indicon.2015.7443599.
[11] Smarandache, F. (2003). An Introduction to the neutrosophic probability applied in quantum physics. University of New Mexici Gallup, NM 87301, USA.
[12] Wang, Y., Wang, J.-Q., & Wang,T.-L. (2018). Fuzzy stochastic multi-criteria decision-making methods with interval neutrosophic probability based on regret theory. Journal of Intelligent & Fuzzy Systems, 1-14.
[13] Qiang, G., You, H., Yong, D.,Tao,J., & Smarandache,F. (2015). An evidence fusion method with importance discounting factors based on neutrosophic probability analysis in DSmT framework. Infinite Study, USA, (2017).
[14] Suman, D., Bimal, S., Rakhal, D., Huda, E.K., & Salama, A.A. (2022). Pentapartitioned neutrosophic probability distributions. Neutrosophic Sets and Systems, Vol.49.
[15] Srila, D., Rama, D., Binod, C.T., & Suman,D & Priyanka, M. (2022). Single-valued Pentapartitioned neutrosophic exponential similarity measure under SVPNS environment and its application in the selection of bacteria. Neutrosophic Sets and Systems, Vol.21.
[16] Kumar, S.R., & Mary, A.S.A. (2021). Quadri partitioned neutrosophic soft set. Infinite Study.
[17] Radha, R. & Stanis Arul Mary, A. (2020). Quadri partitioned neutrosophic phthagorean set. International journal of research publication and reviews, Vol.(8),276-281.
[18] Ramesh Kumar, S., & Stanis Arul Mary, A. (2021). Quadri partitioned Neutrosophic soft topological space. International journal of research publication and reviews, Vol.(8), 67-78.
[19] Sinha, K. & Majumdar, P. (2022). Quadripartitioned single valued neutrosophic rough set and their applications in decision making. Journal of Applied and Engineering Mathematics, 12(2),619-630.
[20] Quek, S.G., Selvachandran, G., Ajay, D., Chellamani, P., Taniar, D., Fujita, H., & Giang, N.L. (2022). New concepts of pentapartitioned neutrosophic graphs and applications for determining safest paths and towns in response to COVID-19. Computational and Applied Mathematics, 41(4), 1-27.
[21] Mohanasundari, M., & Mohana, K. (2020). Quadripartitioned single valued neutrosophic dombi weighted aggregation operators for multiple attribute decision making. Neutrosophic sets and systems, 32(1), 9.
[22] Rajesh, C., Majumdar, P., & Samanta, S. K. (2016). On some similarity measures and entropy on quadripartitioned single valued neutrosophic sets. Journal of Intelligent and Fuzzy systems,30, 2475-2485.
[23] Sinha, K., & Majumdar, P. (2020). Bipolar quadripartitioned single valued neutrosophic rough set. Neutrosophic sets and systems, Vol.38, 2020.
