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.