Volume 26 • Issue 1 • PP: 127-135, • 2025
Advances in Hypothesis Testing with Neutrosophic Sets: A Framework for Uncertainty
Open Access & Copyright
© 2025 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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
Publisher's Note
The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.