Andriy Viktorovich Goncharenko
Herein it has been made an attempt to find a theoretical explanation and build some mathematical models of the main psychophysics law derivation on the basis of an optimization principle with regards to the multi-optional situation of the process of the relation formation between external stimuli and their corresponding internal perception functions. The psychological uncertainty of such multi-optional situation is evaluated with the optional hybrid stimuli functions entropy connected within the postulated objective functional with the related perception functions. Applying the optional hybrid stimuli functions entropy conditional optimization principle we get optimal distributions of the optional hybrid stimuli functions. The proposed concept allows finding the optimal distribution of the optional hybrid stimuli functions which in its turn delivers maximal value to the objective functional and at the same time ensures satisfying the main psychophysics law conditions. The discussed approach has the significance of the scientific substantiation for the well-known Weber-Fechner law logarithmic operation with stimuli in regards to obtaining their perceptions. The performed corresponding modeling is illustrated with the necessary diagrams.