Description
Quotient Space Based Problem Solving
A Theoretical Foundation of Granular Computing
Authors: Zhang Ling, Zhang Bo
Language: English
Subjects for Quotient Space Based Problem Solving:
Keywords
AND/OR graph; assembly sequences; attribute; attribute function; characteristic network; closure operation; compressed decomposition; computational complexity; configuration space; domain; falsity preserving; fractal geometry; fuzzy equivalence relation; fuzzy quotient space; fuzzy reasoning; granularity; graph; graph search; heuristic search; hierarchy; homomorphism; information synthesis; motion planning; multi-granular computing; problem solving; qualitative reasoning; quotient attribute function; quotient operation; quotient space; quotient space approximation; reasoning; rotation mapping graph (RMG); semi-order lattice; semi-order structure; spatial planning; statistical heuristic search; statistical inference; structure; tolerant relation; topological model; topological structure; truth preserving; wavelet analysis
396 p. · 19x23.3 cm · Hardback
Description
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Quotient Space Based Problem Solving provides an in-depth treatment of hierarchical problem solving, computational complexity, and the principles and applications of multi-granular computing, including inference, information fusing, planning, and heuristic search.
Chapter 1 Problem Representation
Chapter 2 Hierarchy and Multi-granular Computing
Chapter 3 Information Synthesis in Multi-granular Computing
Chapter 4 Reasoning in Multi-granular Computing
Chapter 5 Automatic Spatial Planning
Chapter 6 Statistical Heuristic Search
Chapter 7 the Expansion of Quotient Space Theory
Addenda A: Some Concepts and Properties of Point Set Topology
Addenda B: Some Concepts and Properties of Integral and Statistical Inference
Professor Bo Zhang is currently with the Computer Science and Technology Department at Tsinghua University in Beijing, China, He is a Fellow of Chinese Academy of Sciences. His main research interests include artificial intelligence, robotics, intelligent control and pattern recognition. He has published over 150 papers and 3 monographs in these fields.
- Explains the theory of hierarchical problem solving, its computational complexity, and discusses the principle and applications of multi-granular computing
- Describes a human-like, theoretical framework using quotient space theory, that will be of interest to researchers in artificial intelligence
- Provides many applications and examples in the engineering and computer science area
- Includes complete coverage of planning, heuristic search and coverage of strictly mathematical models
