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:
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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.