S.SH. Kazhikenova, S.S. Ahmetova

Buketov Karaganda State University

The new aspects of informative-

entropic analysis of technological processes

The characteristic investigations of information system that are being done by up-to-date science, gives us a great opportunity to confirm the using of a quality information which is allowed to make analyses of common mechanical reactions between informative and entropic processes, which are based on all driving informative processes that can be produced in the environment itself.

Lately, the inter-disciplinary investigations which are based on union concession are developing in a rapid.

From this point of view arises the interest in searching of technical processes and their basic laws and principles of math interpretation.

At general feature of any entropic-informative object-testing analysis is wildly used by Shannon’s statistical formula for expressing uncertainty of any system:

                                          

Where, ði – the probability for detection of system’s element in manifold ; .

Theorem 1. An information capacity of technical system depends on a system of an information characteristic that determines by formula at any level and at any systematic principles’ developing:

,      ,

Where,  – the maximum probability of system’s entropy.

 Theorem 2. The ultimate degree of determination and uneliminated stochasticity of the technological system are determined by the following formulae:

                       

                        ,  ,

Where   is a system determined component;   is s system stochastic component;  is  maximum information.

         For the ultimate characteristics of the technological system the ratio   is equal to the coefficient of stochasticity ,  used in the theory of information;   is realized information;   is system entropy at the moment considered;   is the coefficient of surplus.

         The meaning of the surplus information is connected with the cognition of the technological system, in which the whole information drawn out is always less than the objectively contained in it one in the form of determined ratios. The coefficient of stochasticity can vary from zero till infiniteness and reflects more detailed stochastic and determined properties of the technological system.

         Using the measure of certainty and uncertainty of information permits to analyze general mechanisms of entropy-and-information laws of the technological processes which are the fundamental base of all the spontaneous processes of information accumulating which lead to self-organizing technological processes, namely to hierarchy systems.      The theories that have been offered here could be on a great interest both in a view point of different technical circuitry of theoretical analyses and in respect of further development of an information analysis and in detection of any objects.