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Abstract
Organization is, as it were, a temporally stable whirlpool appearing on flow of imperfect information processing. At that time, there are going on two processes concurrently. One is to make optimal organization to perform task. The other is to process imperfect information. If we describe this process as an inherent model based on discrete structure, many decentralized autonomous units continuously try to connect to others, from which some nested hierarchical system forms with optimal structure.
Composite is a model of virtual organization. It is also a model of hierarchical system, based on distributed autonomous units and their relations. Each unit has own basic endowment sets and operators. It is trying to connect to each other, using its local scope under some local rules, and makes network topology. A composite is hierarchically composed of the nested sub-composites through this continuous process. It is spontaneously growing up by composition, and sometime later collapsing by decomposition.
Composite and its composing process show that there arises characteristic geometry and structural complexity. At the base layer, Decentralized Autonomous Units (DCAUs) and their connecting form some topological geometry, which shows some kind of complexity. Also, spontaneous stratification with nested structure represents generating complexity. In the middle hierarchical layer, there will emerge measurable complexity. On the other hand, composite is an information processing system simultaneously with a self-organizing system. In particular, it deals with imperfect information. So, it makes bifurcation and a new branch for future forecasting. Higher stratified composite based on wider domain of DAUs could see the further future in the global scope.
The top of composite is transformed, according to composing process. It can be optimal process with global scope. In simulation, there often happen many local optimal solutions by local scope. As it can procure the higher global scope, it will escape from a trap of local optimal structure. Composite holds nested stratification and composing process with repeating operation and recursive operation. This composing process generates complexity and computational complexity at the conceptual simulation.
From the Paradise Lost, human beings have always developed the newer systems for imperfect information processing. However, there remains invariant imperfect information against the transformation of the systems. Thus, it is necessary for any information systems from CPU to AI, and to world market to predict the near future. While they are seeking for efficiency or advantages, surely imperfect information will appear in their small spaces. Composite model enables us to generate inherent information for predicting the near future against imperfect information. However, for acquiring genuine generator by means of which we can overcome the invariant part of imperfect information, we need to develop a conceptual model of Transcendental Genesis.
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