Abstract
In this chapter, we will introduce the important measures of central tendency and dispersion under the neutrosophic statistics (NS). The measures are the extension of central tendency and dispersion under classical statistics (CS). The purpose of this chapter is to introduce the measures to analyze the data which has been measured under uncertain environments. We will focus on the basic ideas about these measures under the NS, neutrosophic arithmetic mean, neutrosophic geometric mean, neutrosophic harmonic mean, neutrosophic mode, neutrosophic median, the relationship between these measures and quantiles under the NS, neutrosophic range, neutrosophic variance, etc.
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References
Smarandache, F. (1998). Neutrosophy. Neutrosophic probability, set, and logic, proquest information & learning. Michigan: Ann Arbor.
Abdel-Basset, M., Manogaran, G., Gamal, A., & Smarandache, F. (2018). A hybrid approach of neutrosophic sets and DEMATEL method for developing supplier selection criteria. Design Automation for Embedded Systems, 22, 257–278.
Aslam, M. (2018a). A new sampling plan using neutrosophic process loss consideration. Symmetry, 10(5), 132.
Aslam, M. (2018b). Design of sampling plan for exponential distribution under neutrosophic statistical interval method. IEEE Access, 6, 64,153–64,158.
Aslam, M., & Albassam, M. (2019). Application of neutrosophic logic to evaluate correlation between prostate cancer mortality and dietary fat assumption. Symmetry, 11(3), 330–336.
Broumi, S., & Smarandache, F. (2015). New operations on interval neutrosophic sets. Journal of New Theory, 24–37. https://doi.org/10.6084/M9.FIGSHARE.1502590.
Chen, J., Ye, J., Du, S., & Yong, R. (2017b). Expressions of rock joint roughness coefficient using neutrosophic interval statistical numbers. Symmetry, 9(7), 123.
Chen, J., Ye, J., & Du, S. (2017a). Scale effect and anisotropy analyzed for neutrosophic numbers of rock joint roughness. Symmetry, 9(10), 208.
Smarandache, F. (2014). Introduction to neutrosophic statistics. Columbus, OH: Sitech & Edcation Publishing.
AL-Hefenawy, N., Metwally, M. A., Ahmed, Z. M., & El-Henawy, I. M. (2016). A review on the applications of neutrosophic sets. Journal of Computational and Theoretical Nanoscience, 13(1), 936–944.
Smarandache, F. (2005). A unifying field in logics: Neutrosophic logic. neutrosophy, neutrosophic set, neutrosophic probability: neutrsophic logic. Neutrosophy, neutrosophic set, neutrosophic probability. Santa Fe: Infinite Study.
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Sherwani, R.A.K., Aslam, M., Shakeel, H., Abbas, K., Jamal, F. (2021). Neutrosophic Statistics for Grouped Data: Theory and Applications. In: Smarandache, F., Abdel-Basset, M. (eds) Neutrosophic Operational Research. Springer, Cham. https://doi.org/10.1007/978-3-030-57197-9_14
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DOI: https://doi.org/10.1007/978-3-030-57197-9_14
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