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Fig. 1.2 Characteristic function of A set, which formalizes concept of “normal functioning of
an object”: a — by means of the theory of sets; b — by means of human analysis of a situation
The situation changed dramatically with the necessity to consider peculiarities
of human perception, evaluation and analysis of the information as equal part of a
simulated system. Let us consider an example 1.1 (Fig. 1.2. b) from the point of
view of the description of a situation made by a human.
Example 1.1 (cont'd). Let us consider three values:
x ,
x and
x shown in
Fig. 1.2.b.
Certain paradox is obvious: in the model values x and x are different and x
and x are identical (with regard to the “normal functioning of an object" concept
formalized by means of set A ). Thus, the computer model can "see" actually close
situations as different ones, and situations different physically as iden tic al one s. I f
there is no unambiguous rule (model) to compute boundary values x and x ,
then considered situation can lead to the situation when the conclusions derived
from the analysis of such models, will not correspond to perceptions of experts.
This discordance between the theory of sets language and a human mode of
thinking is one of causes of unsuccessful attempts in use of mathematical methods
and computer technologies in those fields of activity where influence of the human
factor is significant.
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