Title :
Compression and decompression of fuzzy relations in the basic logic over [0,1]
Author :
Loia, Vincenzo ; Sessa, Salvatore
Author_Institution :
Dipt. di Matematica ed Inf., Univ. di Salerno, Italy
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×n, compressed to two argument fuzzy matrices of sizes h × k, h ⩽ m and k ⩽ 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
Keywords :
data compression; fuzzy logic; fuzzy set theory; image coding; Java; basic logic; fuzzy logic; fuzzy relations; fuzzy set theory; image compression; image decompression; two-argument fuzzy matrices; Algebra; Equations; Fuzzy logic; Fuzzy sets; Image coding; Java; Lattices; Logic functions;
Conference_Titel :
IFSA World Congress and 20th NAFIPS International Conference, 2001. Joint 9th
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-7078-3
DOI :
10.1109/NAFIPS.2001.944686
