Volume 26 • Issue 1 • PP: 127-135, • 2025
Advances in Hypothesis Testing with Neutrosophic Sets: A Framework for Uncertainty
View PDF Abstract
In this paper, we extend statistical hypothesis testing to data represented as neutrosophic sets, encompassing membership, indeterminacy, and non-membership components. Two distinct scenarios are considered: first, where all three components are independent, and second, where all three components are dependent.
Keywords
References
[1] A. Meyer-Baese and V. Schmid, Chapter 9 - Neuro-Fuzzy Classification, in Pattern Recognition and Signal Analysis in Medical Imaging, 2nd ed., Academic Press, 2014, pp. 291-323.
[2] M.G. Akbari, G. Hesamian, Testing statistical hypotheses for intuitionistic fuzzy data, Methodologies and Application, vol. 23, pp. 10385–10392, October 2018. https://doi.org/10.1007/ s00500-018-3590-2
[3] G. Atalik, S. Senturk, O. T¨urksen, N. Erginel, Intuitionistic Fuzzy Hypothesis Testing with Fuzzy Data, Journal of Multiple-valued Logic and Soft Computing, vol. 36, pp. 527-542, June 2021.
[4] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, vol. 20, no. 1, pp. 87-96, August 1986. https://doi.org/10.1016/S0165-0114(86)80034-3
[5] M. R. Casals, M. A. Gil, P. Gil, The Fuzzy decision problem: an approach to the problem of testing statistical hypotheses with fuzzy information, European Journal of Operational Research, vol. 27, no. 3, pp. 371-382, December 1986. https://doi.org/10.1016/0377-2217(86)90333-4
[6] F. Smarandache, Neutrosophic set - A Generalization of the Intuitionistic fuzzy set, Journal of Defense Resources, vol. 1, no. 1, pp. 107-116, September 2010.
[7] N. X. Thao, F. Smarandache, N. V. Dinh, Support-Neutrosophic Set: A New Concept in Soft Computing, Neutrosophic Sets and Systems, vol 16, pp. 93-98, 2017.
[8] F. Tas, S. Topal, F. Smarandache, Clustering Neutrosophic Data Sets and Neutrosophic Valued Metric Spaces, Symmetry, vol 10, no. 10, pp. 1-12, October 2018.
[9] L. A. Zadeh, Fuzzy sets, Information and Control, vol. 8, pp. 338-353, June 1965. https://doi. org/10.1016/S0019-9958(65)90241-X
Cite This Article
Choose your preferred format