RT Book, Section T1 Graph Approach in Image Segmentation A1 Guada, Carely A1 Gómez González, Daniel A1 Rodríguez González, Juan Tinguaro A1 Yáñez Gestoso, Francisco Javier A1 Montero De Juan, Francisco Javier A2 Kacprzyk, Janusz A2 Szmidt, Eulalia A2 Zadrożny, Slawomir A2 Atanassov, K. T. A2 Krawczak, Maciej AB In this paper we discuss about graph approach in image segmentation. In first place, some main image processing techniques are classified based upon the output these methods provide. Then, a fuzzy image segmentation definition is presented because in the literature review was found that it was not clearly defined. This definition of fuzzy image segmentation is then related to a hierarchical image segmentation procedure, so this concept is also formally defined in this work. As every output of an image processing algorithm has to be evaluated, then a method to evaluate a hierarchical segmentation output is proposed in order to later propose a method to evaluate a fuzzy image segmentation output. Computational experiences point to some advantages of the proposed hierarchical image segmentation procedure over other algorithms. PB Springer SN 978-3319668291 YR 2017 FD 2017 LK https://hdl.handle.net/20.500.14352/19470 UL https://hdl.handle.net/20.500.14352/19470 LA eng NO Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K.T., Krawczak, M. eds: Advances in Fuzzy Logic and Technology 2017. Springer International Publishing, Cham (2018) NO Ministerio de Economía, Comercio y Empresa (España) NO Comunidad de Madrid DS Docta Complutense RD 9 abr 2025