Non-negative matrix factorization and decomposition of a fuzzy relation

Barnabás Bede, Hajime Nobuhara, Imre J. Rudas, Takanari Tanabata

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publication2010 IEEE World Congress on Computational Intelligence, WCCI 2010
DOIs
Publication statusPublished - Nov 25 2010
Event2010 6th IEEE World Congress on Computational Intelligence, WCCI 2010 - Barcelona, Spain
Duration: Jul 18 2010Jul 23 2010

Publication series

Name2010 IEEE World Congress on Computational Intelligence, WCCI 2010

Other

Other2010 6th IEEE World Congress on Computational Intelligence, WCCI 2010
CountrySpain
CityBarcelona
Period7/18/107/23/10

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ASJC Scopus subject areas

  • Artificial Intelligence
  • Computational Theory and Mathematics

Cite this

Bede, B., Nobuhara, H., Rudas, I. J., & Tanabata, T. (2010). Non-negative matrix factorization and decomposition of a fuzzy relation. In 2010 IEEE World Congress on Computational Intelligence, WCCI 2010 [5584682] (2010 IEEE World Congress on Computational Intelligence, WCCI 2010). https://doi.org/10.1109/FUZZY.2010.5584682