Compression and decompression of fuzzy relations in the basic logic over [0,1

V Loia,S Sessa

doi:10.1109/nafips.2001.944686

Compression and decompression of fuzzy relations in the basic logic over [0,1

V Loia, S Sessa

https://doi.org/10.1109/nafips.2001.944686

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Publication Date: Jul 25, 2001

Citations: 3

Affiliation: University of Salerno, University of Naples Federico II

#Spl Les #Decompression Of Images + Show 8 more

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Abstract

We improve the mathematical contents of two previous papers using the axioms of the basic logic over [0,1] due to Hajek (1998). We make use of the theory of fuzzy relation equations for getting lossy compression and decompression of images. These are understood as two-argument fuzzy matrices of sizes m/spl times/n, compressed to two argument fuzzy matrices of sizes h /spl times/ k, h /spl les/ m and k /spl les/ n. We are widely inspired from two papers of Nobuhara et al. (2000), but we propose several slight modifications illustrating an algorithm implemented in Java.

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