出版社：Japan Society for Fuzzy Theory and Intelligent Informatics
摘要：Fuzzy integrals can be used as smoothing filters. Smoothness after filtering of an initially uniformly distributed image was investigated from two points of view i.e., a variance of the image and a correlation between two pixels in the equal distance. Formulations of the correlation for four integrals, Arithmetic averaging, Sugeno, median and opposite Sugeno integral, were studied. As for Choquet integral, an exact and simple formula was derived. As for other three integrals, approximated formulas as n→∞ were estimated, and they showed good coincidence even if n was a sufficiently small number 9.
关键词：fuzzy integral ; filtering ; correlation ; smoothing
