A Genetic Algorithm Based on Eigen Fuzzy Sets for Image Reconstruction

Authors:
Ferdinando Martino;Salvatore Sessa
Affiliations:
Università degli Studi di Napoli "Federico II", Dipartimento di Costruzioni e Metodi Matematici in Architettura, Via Monteoliveto, n. 3, 80134 Napoli, Italy;Università degli Studi di Napoli "Federico II", Dipartimento di Costruzioni e Metodi Matematici in Architettura, Via Monteoliveto, n. 3, 80134 Napoli, Italy
Venue:
WILF '07 Proceedings of the 7th international workshop on Fuzzy Logic and Applications: Applications of Fuzzy Sets Theory
Year:
2007

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Abstract

By normalizing the values of its pixels, any image is interpreted as a fuzzy relation whose the greatest eigen fuzzy set with respect to the max 茂戮驴 min composition and the smallest eigen fuzzy set with respect to the min 茂戮驴 max composition are used in a genetic algorithm for image reconstruction scopes. Image-chromosomes form the population and a fitness function based on the above eigen fuzzy sets of each image-chromosome and of the related original image is used for performing the selection operator. The reconstructed image is the image-chromosome with the highest value of fitness.