Document Type : Research Paper
Authors
1 Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
2 عضو هییت علمی
3 Department of Statistics, Faculty of Mathematics ~and Computer Shahid Bahonar University of Kerman Kerman, Iran
Abstract
Fuzzy data analysis presents significant computational challenges due to its inherent ambiguity and uncertainty. Traditional statistical methods do not have the capability to effectively capture and model the uncertainty in fuzzy observations. A novel approach is proposed in this paper to model unknown bivariate densities using fuzzy observations and incorporating the dependency between variables. By employing this copula-based approach, we have effectively
managed the computational complexity associated with the analysis of fuzzy data. The proposed approach has been applied to model groundwater aquifers distribution.
Keywords
Main Subjects
s00184-010-0311-y
https://doi.org/10.1002/9781118673331
on Fuzzy Systems, 25(1) (2016), 84-99. https://doi.org/10.1109/TFUZZ.2016.2551283
49(2) (1999), 135-145. https://doi.org/10.1007/s001840050030
//doi.org/10.1201/9780367803896
method, Iranian Journal of Mathematical Sciences and Informatics, Accepted, (2025). https://dx.doi.org/
10.2139/ssrn.4801965
framework using diffusion kernel density estimators, IEEE Transactions on Power Systems, 33(6) (2018), 7109-
7121. https://dx.doi.org/10.1109/tpwrs.2018.2848207
Statistics and Data Analysis, 64 (2013), 1-19. https://dx.doi.org/10.1016/j.csda.2013.02.018
4(14) (2010), 657-666.
org/10.1007/b101765_15
1118-1124. https://doi.org/10.1214/aoms/1177704850
clustering algorithm, In 2008 Fifth International Conference on Fuzzy Systems and Knowledge Discovery, 3 (2008),
449-453. https://doi.org/10.1109/FSKD.2008.139
2422. https://doi.org/10.1080/03610926.2011.611316
bivariate regional frequency analysis, Theoretical and Applied Climatology, 135 (2019), 855-871. https:
//doi.org/10.1007/s00704-018-2407-7
hydrology, Advances in Water Resources, 30(4) (2007), 897-912. https://doi.org/10.1016/j.advwatres.2006.
08.001
Sons, 2017. https://doi.org/10.1002/9781118959046
Association, 69(347) (1974), 730-737. https://doi.org/10.1080/01621459.1974.10480196
and α-cut decomposition, Water Supply, 21(8) (2021), 4391-4403. https://doi.org/10.2166/ws.2021.186
D., Elliot, S., Krogstie, J., Pries-Heje, J. (eds) The Past and Future of Information Systems: 1976-2006 and Beyond.
IFIP WCC TC8 2006. IFIP International Federation for Information Processing, Vol 214. Springer, Boston, 2006.
https://doi.org/10.1007/978-0-387-34732-5_19
9780470974414