RT Journal Article
T1 Contrast of a fuzzy relation
A1 Bustince, Humberto
A1 Barrenechea, Edurne
A1 Fernández Castillo, Jesús
A1 Pagola, Miguel
A1 Montero De Juan, Francisco Javier
A1 Guerra, C.
AB In this paper we address a key problem in many fields: how a structured data set can be analyzed in order to take into account the neighborhood of each individual datum. We propose representing the dataset as a fuzzy relation, associating a membership degree with each element of the relation. We then introduce the concept of interval-contrast, a means of aggregating information contained in the immediate neighborhood of each element of the fuzzy relation. The interval-contrast measures the range of membership degrees present in each neighborhood. We use interval-contrasts to define the necessary properties of a contrast measure, construct several different local contrast and total contrast measures that satisfy these properties, and compare our expressions to other definitions of contrast appearing in the literature. Our theoretical results can be applied to several different fields.In an Appendix A, we apply our contrast expressions to photographic images.
PB Elsevier Science Inc
SN 0020-0255
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/42258
UL https://hdl.handle.net/20.500.14352/42258
LA eng
NO Bustince, H., Barrenechea, E., Fernandez, J., Pagola, M., Montero, J., Guerra, C.: Contrast of a fuzzy relation. Information Sciences. 180, 1326-1344 (2010). https://doi.org/10.1016/j.ins.2009.12.013
DS Docta Complutense
RD 12 may 2025