Generation of various eigen fuzzy sets by permutation fuzzy matrix and its application to image analysis

In order to generate various eigen fuzzy sets with respect to an image, an algorithm based on a permutation fuzzy matrix is proposed. The proposed algorithm is based on a rotation of the original fuzzy relation by using permutation fuzzy matrix, and the periodicity of the permutation matrix is studied in the setting of the fuzzy relational calculus. Through an experiment using the images extracted from the ´view sphere database´, the properties of various eigen fuzzy sets obtained by the proposed algorithm are shown.