Fuzzy Relational Calculus and Its Application to Image Processing

Authors:
Etienne E. Kerre;Mike Nachtegael
Affiliations:
Department of Applied Mathematics & Computer Science Fuzziness & Uncertainty Modelling, Ghent University, Gent, Belgium B-9000;Department of Applied Mathematics & Computer Science Fuzziness & Uncertainty Modelling, Ghent University, Gent, Belgium B-9000
Venue:
WILF '09 Proceedings of the 8th International Workshop on Fuzzy Logic and Applications
Year:
2009

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Abstract

The calculus of relations has been very important during the past 40 years from theoretical as well as from practical point of view. The development of fuzzy set theory, particularly in the framework of relational calculus has substantially increased the interest in this domain of science. In this paper we will give a brief overview of the recent developments in crisp as well as in fuzzy relational calculus and illustrate its applicability in image processing.