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

Authors: Hajime Nobuhara; Kaoru Hirota;

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

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 is 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 are obtained during 10 iterations, under the condition that the size of the original image is 256 x 256 pixels.

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Japan
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
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