Title :
Non-negative matrix factorization and decomposition of a fuzzy relation
Author :
Bede, Barnabás ; Nobuhara, Hajime ; Rudas, Imre J. ; Tanabata, Takanari
Author_Institution :
Dept. of Math., Univ. of Texas-Pan American, Edinburg, TX, USA
Abstract :
The present paper generalizes the problems of nonnegative matrix factorization and decomposition of fuzzy relation into a common non-linear non-negative matrix factorization problem. Algorithms for solving such a general nonlinear problem are discussed, based on general algebraic structures of ordered semirings with generated pseudo-operations. Some decompositions in max-product, max-plus algebras are also shown.
Keywords :
fuzzy set theory; image reconstruction; matrix decomposition; fuzzy relation; general algebraic structure; image reconstruction; max-plus algebra; max-product algebra; nonlinear nonnegative matrix factorization; nonnegative matrix decomposition; ordered semiring; Approximation algorithms; Artificial neural networks; Generators; Image reconstruction; Matrix decomposition;
Conference_Titel :
Fuzzy Systems (FUZZ), 2010 IEEE International Conference on
Conference_Location :
Barcelona
Print_ISBN :
978-1-4244-6919-2
DOI :
10.1109/FUZZY.2010.5584682
