The technique of Fourier holography is considered from the point of view of the construction of an algebraic model. It is shown that the technique yields a construction of a semigroup of fuzzy subsets with convolution as addition and correlation as subtraction. It is proved that in an approximation to linearity of the Fourier transformation, the Sugeno λ-measure, which takes fuzzy values, is an appropriate tool for Fourier optics.
机构:U.S. Department of Health and Human Services, Public Health Service, Centers for Disease Control and Prevention, National Institute for Occupational Safety and Health, Cincinnati, OH 45226