A Unified Algebraic Framework for Fuzzy Image Compression and Mathematical Morphology
WILF '09 Proceedings of the 8th International Workshop on Fuzzy Logic and Applications
HAIS'12 Proceedings of the 7th international conference on Hybrid Artificial Intelligent Systems - Volume Part II
Quantale-based autoassociative memories with an application to the storage of color images
Pattern Recognition Letters
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The central topic of this work is the categories of modules over unital quantales. The main categorical properties are established and a special class of operators, called Q-module transforms, is defined. Such operators—that turn out to be precisely the homomorphisms between free objects in those categories—find concrete applications in two different branches of image processing, namely fuzzy image compression and mathematical morphology.