Solution of non-linear fuzzy systems by decomposition of incremental fuzzy numbers
Information Sciences: an International Journal
A Genetic Algorithm Based on Eigen Fuzzy Sets for Image Reconstruction
WILF '07 Proceedings of the 7th international workshop on Fuzzy Logic and Applications: Applications of Fuzzy Sets Theory
A fuzzy hybrid method for image decomposition problem
Evo'08 Proceedings of the 2008 conference on Applications of evolutionary computing
Some component analysis based on fuzzy relational structure
WILF'03 Proceedings of the 5th international conference on Fuzzy Logic and Applications
On various eigen fuzzy sets and their application to image reconstruction
Information Sciences: an International Journal
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This study is concerned with a decomposition of fuzzy relations, that is their representation with the aid of a certain number of fuzzy sets. We say that some fuzzy sets decompose an original fuzzy refraction if the sum of their Cartesian products approximate the given fuzzy relation. The theoretical underpinnings of the problem are presented along with some linkages with Boolean matrices (such as a Schein rank). Subsequently, we reformulate the decomposition of fuzzy relations as a problem of numeric optimizing and propose a detailed learning scheme leading to a collection of decomposing fuzzy sets. The role of the decomposition in a general class of data compression problems (including those of image compression and rule-based system condensation) is formulated and discussed in detail