Some properties of overlap and grouping functions and their application to image thresholding

Authors:
A. Jurio;H. Bustince;M. Pagola;A. Pradera;R. R. Yager
Affiliations:
Departamento de Automatica y Computacion, Universidad Publica de Navarra, Campus Arrosadia s/n, 31006 Pamplona, Spain;Departamento de Automatica y Computacion, Universidad Publica de Navarra, Campus Arrosadia s/n, 31006 Pamplona, Spain;Departamento de Automatica y Computacion, Universidad Publica de Navarra, Campus Arrosadia s/n, 31006 Pamplona, Spain;Departamento de Ciencias de la Computación, Universidad Rey Juan Carlos, 28933 Móstoles, Madrid, Spain;Machine Intelligence Institute, Iona College, NY 10805, New Rochelle, USA
Venue:
Fuzzy Sets and Systems
Year:
2013

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Abstract

In this paper we study under which conditions overlap and grouping functions satisfy some commonly demanded properties such as migrativity or homogeneity. We also recall that the convex combination of overlap (grouping) functions is a new overlap (grouping) function. This property allows us to achieve a consensus between different methods that solve certain problems by means of these functions. We also show one application of this property in image processing.