RT Journal Article T1 Ignorance functions. An application to the calculation of the threshold in prostate ultrasound images. A1 Bustince, Humberto A1 Pagola, Miguel A1 Fernández, Javier A1 Melo Pinto, P. A1 Couto, P. A1 Tizhoosh, H. R. A1 Montero De Juan, Francisco Javier AB In this paper, we define the concept of an ignorance function and use it to determine the best threshold with which to binarize an image. We introduce a method to construct such functions from t-norms and automorphisms. By means of these new measures, we represent the degree of ignorance of the expert when given one fuzzy set to represent the background and another to represent the object. From this ignorance degree, we assign interval-valued fuzzy sets to the image in such a way that the best threshold is given by the interval-valued fuzzy set with the lowest associated ignorance. We prove that the proposed method provides better thresholds than the fuzzy classical methods when applied to transrectal prostateultrasoundimages. The experimental results on ultrasound and natural images also allow us to determine the best choice of the function to represent the ignorance. PB Elsevier Science Bv SN 0165-0114 YR 2010 FD 2010 LK https://hdl.handle.net/20.500.14352/42262 UL https://hdl.handle.net/20.500.14352/42262 LA eng NO Bustince, H., Pagola, M., Barrenechea, E., Fernandez, J., Melo-Pinto, P., Couto, P., Tizhoosh, H.R., Montero, J.: Ignorance functions. An application to the calculation of the threshold in prostate ultrasound images. Fuzzy Sets and Systems. 161, 20-36 (2010). https://doi.org/10.1016/j.fss.2009.03.005 NO GrantsTIN2006-06190 NO TIN2007-65981 DS Docta Complutense RD 10 abr 2025