A solution for eigen fuzzy sets of adjoint max-min composition and its application to image analysis

Hajime Nobuhara, Kaoru Hirota

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

10 Citations (Scopus)

Abstract

As a principal component analysis of the Images based on an ordered structure, the greatest eigen fuzzy set (GEFS) and the smallest eigen fuzzy set (SEFS) of max-min composition and adjoint one, are proposed. In the case of the proposed method, an original image can be regarded as a fuzzy relation by intensity normalization, and the GEFS and the SEFS are obtained as the transitive closure of the fuzzy relation. Through experiments using 91 test images extracted from 'View Sphere Database', it is confirmed that the GEFS and SEFS can be obtained during 10 iterations, under the condition that the size of the original image is 256 × 256 pixels.

Original languageEnglish
Title of host publication2003 IEEE International Symposium on Intelligent Signal Processing
Subtitle of host publicationFrom Classical Measurement to Computing with Perceptions, WISP 2003 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages27-30
Number of pages4
ISBN (Electronic)0780378644, 9780780378643
DOIs
Publication statusPublished - 2003
Externally publishedYes
Event3rd IEEE International Symposium on Intelligent Signal Processing, WISP 2003 - Budapest, Hungary
Duration: 6 Sept 2003 → …

Publication series

Name2003 IEEE International Symposium on Intelligent Signal Processing: From Classical Measurement to Computing with Perceptions, WISP 2003 - Proceedings

Conference

Conference3rd IEEE International Symposium on Intelligent Signal Processing, WISP 2003
Country/TerritoryHungary
CityBudapest
Period6/09/03 → …

Keywords

  • Eigen fuzzy sets
  • Fuzzy relation
  • Image analysis

Fingerprint

Dive into the research topics of 'A solution for eigen fuzzy sets of adjoint max-min composition and its application to image analysis'. Together they form a unique fingerprint.

Cite this