RT Journal Article T1 Application of smooth fuzzy model in image denoising and edge detection A1 Sadjadi, Ebrahim A1 Sadrian Zadeh, Danial A1 Moshiri, Behzad A1 García Herrero, Jesús A1 Molina López, José Manuel A1 Fernández, Roemi AB In this paper, the bounded variation property of fuzzy models with smooth compositions have been studied, and they have been compared with the standard fuzzy composition (e.g., min-max). Moreover, the contribution of the bounded variation of the smooth fuzzy model for the noise removal and edge preservation of the digital images has been investigated. Different simulations on the test images have been employed to verify the results. The performance index related to the detected edges of the smooth fuzzy models in the presence of both Gaussian and Impulse (also known as salt-and-pepper noise) noises of different densities has been found to be higher than the standard well-known fuzzy models (e.g., min-max composition), which demonstrates the efficiency of smooth compositions in comparison to the standard composition. PB MDPI SN 2227-7390 YR 2022 FD 2022-07-02 LK https://hdl.handle.net/10016/37033 UL https://hdl.handle.net/10016/37033 LA eng NO This article belongs to the Special Issue Soft Methods for Modeling Uncertainty and Imprecision. NO This research was partially funded by public research projects of Spanish Ministry of Science and Innovation, references PID2020-118249RB-C22 and PDC2021-121567-C22-AEI/10.13039/501100011033, and by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors, reference EPUC3M17. DS e-Archivo RD 30 jun. 2024