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Quotient Space Based Problem Solving by Bo Zhang, Ling Zhang

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Chapter 2

Hierarchy and Multi-Granular Computing

Abstract

The word ‘hierarchy’ has two meanings. First, it means a sort of architecture or organization in natural and man-made systems. Second, it represents the hierarchical analysis methodology in human problem-solving activities. In this book, we mainly focus on the second meaning.

The hierarchical analysis methodology is also the key idea in quotient space theory. We discuss the characteristics of the hierarchical analysis strategy, i.e., the multi-granular computing strategy, in human problem-solving activities and show that by the strategy, the computational complexity can be reduced. We use both the deterministic and probabilistic models to estimate the computational complexity and show in what ...

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