2005, Vol.8, No.3, pp.249-257
The mathematical structure of operators describing
movements in hierarchical system state space is proposed. Taking
into account the description of social systems in according to
previous paper (I.A.Miklashevich // NPCS, v.6, N2,
2003, 678-686) the hyper-real character of these operators for
social system modelling is established. The law of superposition
of the operators is obtained. The origin of the second order
uncertainty due to the movement through hierarchical state space
is studied and interpreted in terms of social groups dynamics.
Proposed non-standard extension of sociodynamics makes it possible
to represent human free will as a mathematical object.
Key words:
hierarchical space, chaos, non-standard analysis, halo,
social system modelling, human free will, forecasting
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