Implementation of fuzzy logic with exclusions by the Fourier-holography method

Алексеев А.М., Павлов А.В. Реализация нечеткой логики с исключениями методом фурье-голографии // Оптический журнал. 2008. Т. 75. № 4. С. 41–46.

Alekseev A.M., Pavlov A.V. Implementation of fuzzy logic with exclusions by the Fourier-holography method [in Russian] // Opticheskii Zhurnal. 2008. V. 75. № 4. P. 41–46.

A. M. Alekseev and A. V. Pavlov, "Implementation of fuzzy logic with exclusions by the Fourier-holography method," Journal of Optical Technology. 75 (4), 242-246 (2008). https://doi.org/10.1364/JOT.75.000242

In developing the biologically motivated approach proposed earlier to the implementation of logico-linguistic modeling by the method of Fourier holography, it was shown to be possible to implement logic with exclusions as a particular case of nonmonotonic logic. It was proposed to use one implication operator for both the premise and the exclusion by constructing linguistic scales for the premise and the exclusion with mutually inverse dependences of the value of the logical conclusion on the value of the input variable. Results are given for the numerical modelling of an example of the formation of a logical conclusion.