Abstract
Fuzzy integral transforms are simpler and the most popular mathematical methods to solve differential and partial equations as well as integral equations. A lesser-known data fusion approach, the fuzzy integral, has been applied in many fuzzy applications, and a comprehensive body of sound mathematical theory is presented alongside it. In this study, a new fuzzy transformation derived from the fuzzy Laplace transform, but more broadened in terms of the center, was shown, and the proposed first- and second-degree transformation and third-order fuzzy derivative formula are discovered. A general formula of nth-order fuzzy derivative e(FNT) is obtained using highly generalized H-differentiability notions. The Internet of Things (IoT) global advancement has improved the tradition of data collection for groundwater resource management. Additionally, information about changes in groundwater resources along with their accessibility is crucial for effective data-driven sustainable groundwater management. In this research work, sustainable groundwater management can be implemented using IoT and artificial intelligence (AI). Finally, a real-world example (liquid tank system) is illustrated to show the effectiveness of this fuzzy N-transform and applied for enhanced sand-dune image detection. From the results, it can be foreseen that the proposed method is exclusively suitable for sustainable groundwater management.
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Kadham, S.M., Mustafa, M.A., Abbass, N.K. et al. IoT and artificial intelligence–based fuzzy-integral N-transform for sustainable groundwater management. Appl Geomat 16, 1–8 (2024). https://doi.org/10.1007/s12518-022-00479-3
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DOI: https://doi.org/10.1007/s12518-022-00479-3