New integral and differential criterion and algorithms for evaluation of the quality of the image and sound of audio-visual systems based on the discovered psychophysical laws of single-line and nonlinear stochastic differential images of physical and touch spaces (instead of the known psychophysical Weber Fehner and Stevens laws) were studied and approved. The plural probabilistic approach for axiomatic consideration of the theory of subjective evaluation of quality of the image and sound (in audio and video systems) was developed. This approach uses a ring of ensembles with a-algebras and multivariate Gilbert's touch space structure from the probabilistic approach by Kolmogorov and uses the measure of ensembles from the undefined approach by Zade. Designed and approved universal integral and differential criterion (factor) of the expert evaluation of the quality of the image and sound using the multivariate indicative function was taken into account as deterministic and casual in nature of the perception touch perceptional images of signals of the image and sound.
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