Sadjadi, EbrahimSadrian Zadeh, DanialMoshiri, BehzadGarcía Herrero, JesúsMolina López, José ManuelFernández, Roemi2023-04-122023-04-122022-07-02Sadjadi, E. N., Sadrian Zadeh, D., Moshiri, B., García Herrero, J., Molina López, J. M., & Fernández, R. (2022). Application of Smooth Fuzzy Model in Image Denoising and Edge Detection. Mathematics, 10(14), 2421.2227-7390https://hdl.handle.net/10016/37033This article belongs to the Special Issue Soft Methods for Modeling Uncertainty and Imprecision.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.25eng© 2022 by the authors.Atribución 3.0 EspañaBounded variation functionEdge detectionFuzzy modelsNoise reductionSmooth compositionsresearch articleElectrónicaInformáticaRobótica e Informática Industrialhttps://doi.org/10.3390/math10142421open access114, 242125Mathematics10AR/0000031392