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2 Goncharenko A. V.

2 2013

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Measures for estimating transport vessels operators' subjective preferences uncertainty

Goncharenko A. V.

Prace Instytutu Lotnictwa

2013

Nr 1 (228)

13--21

The pseudo-entropy hybrid model is suggested as the measure of uncertainty of operators' subjective preferences. Because of the introduced relative prevailing preferences factor the proposed hybrid model has advantages comparatively to the traditional measures of uncertainty in the view of Boltzmann's or Shannon 's entropy. According to the relative dominating preferences index the pseudo-entropy varies within [-1...1] showing the sign and magnitude of the relative subjective assuredness. Analytical expressions have been achieved. The theoretical concept is illustrated with examples and graphs.

A particular case of a variational problem of control in an active aviation system

Goncharenko A. V.

Prace Instytutu Lotnictwa

2013

Nr 1 (228)

3--12

It is theoretically considered one of the simplest particular cases of a variational problem of control in an active aviation system acting in conditions of multi-alternativeness and conflicts. With the help of the Euler-Lagrange equations it is obtained the canonical distributions of the subjective preferences for the given functional; differential equation of the second order for finding extremals of the controlled functions of the functional The differential equation satisfies the conditions of existence and unique solution. Mathematical modeling is fulfilled with the help of the hybrid pseudo-entropy function. Plotted corresponding diagrams.