Person:
Fernández Castillo, Jesús

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First Name
Jesús
Last Name
Fernández Castillo
URI
https://hdl.handle.net/20.500.14352/76208
Affiliation
Universidad Complutense de Madrid
Faculty / Institute
Ciencias Químicas
Department
Química Física
Area
Química Física
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Author: Guerra, C. × Subject: 004.8 ×

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    Contrast of a fuzzy relation.
    (Information Sciences, 2010) Bustince, H.; Barrenechea, E.; Fernández Castillo, Jesús; Pagola, M.; Montero, Javier; Guerra, C.
    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.