复杂性概念研究及其意义

在对国内外关于各种复杂性的概念研究进行分类和比较的基础上,总结和讨论国内外复杂性研究的进展、特点、差异和本质,提出复杂性概念的本质基础应该是计算复杂性概念;探讨了各个复杂性概念之间的关系,认为已有的50多种复杂性概念大体可以区分为三大类:计算型、多样结构型和隐喻型。三大类复杂性概念之间存在内在关系:计算型复杂性是一维序列的复杂性程度的度量;多样结构型复杂性是纵向层次之间的复杂程度的度量;而目前的隐喻型复杂性概念则是这两类复杂性度量之外的更大语境中的系统与历史、与演化、与环境的相互关系的复杂程度的度量。

On Concepts of Complexities and its Meaning in Research

In this paper, we class and compare all kinds of complexities, and discuss the evolvement, characteristic, diversity and substance of complexity research at home and abroad. Complexity concepts can be based on the arithmetic complexity, and the complexity concepts can generally be distinguished as three kinds: the computation, the multiplicity, and the metaphor. There are inherent relations in them, computational complexities are a measurement of complexity about a set of strands in one dimension, complexities of structural diversity are a measurement of complexity between administrative levels, and metaphor complexities in their outside are a measurement of complexity that interactional relations between systems and its histories, its evolvements, its circumstance in greater context.