Home Page Icon
Home Page
Table of Contents for
Title page
Close
Title page
by Bo Zhang, Ling Zhang
Quotient Space Based Problem Solving
Cover image
Title page
Table of Contents
Copyright
Preface
Chapter 1. Problem Representations
1.1 Problem Solving
1.2 World Representations at Different Granularities
1.3 The Acquisition of Different Grain-Size Worlds
1.4 The Relation Among Different Grain Size Worlds
1.5 Property-Preserving Ability
1.6 Selection and Adjustment of Grain-Sizes
1.7 Conclusions
Chapter 2. Hierarchy and Multi-Granular Computing
2.1. The Hierarchical Model
2.2. The Estimation of Computational Complexity
2.3. The Extraction of Information on Coarsely Granular Levels
2.4. Fuzzy Equivalence Relation and Hierarchy
2.5. The Applications of Quotient Space Theory
2.6. Conclusions
Chapter 3. Information Synthesis in Multi-Granular Computing
3.1. Introduction
3.2. The Mathematical Model of Information Synthesis
3.3. The Synthesis of Domains
3.4. The Synthesis of Topologic Structures
3.5. The Synthesis of Semi-Order Structures
3.6. The Synthesis of Attribute Functions
Chapter 4. Reasoning in Multi-Granular Worlds
4.1. Reasoning Models
4.2. The Relation Between Uncertainty and Granularity
4.3. Reasoning (Inference) Networks (1)
4.4. Reasoning Networks (2)
4.5. Operations and Quotient Structures
4.6. Qualitative Reasoning
4.7. Fuzzy Reasoning Based on Quotient Space Structures
Chapter 5. Automatic Spatial Planning
5.1 Automatic Generation of Assembly Sequences
5.2 The Geometrical Methods of Motion Planning
5.3 The Topological Model of Motion Planning
5.4 Dimension Reduction Method
5.5 Applications
Chapter 6. Statistical Heuristic Search
6.1. Statistical Heuristic Search
6.2. The Computational Complexity
6.3. The Discussion of Statistical Heuristic Search
6.4. The Comparison between Statistical Heuristic Search and A∗ Algorithm
6.5. SA in Graph Search
6.6. Statistical Inference and Hierarchical Structure
Chapter 7. The Expansion of Quotient Space Theory
7.1. Quotient Space Theory in System Analysis
7.2. Quotient Space Approximation and Second-Generation Wavelets
7.3. Fractal Geometry and Quotient Space Analysis
7.4. The Expansion of Quotient Space Theory
7.5. Conclusions
Addenda A. Some Concepts and Properties of Point Set Topology
Addenda B. Some Concepts and Properties of Integral and Statistical Inference
References
Index
Search in book...
Toggle Font Controls
Playlists
Add To
Create new playlist
Name your new playlist
Playlist description (optional)
Cancel
Create playlist
Sign In
Email address
Password
Forgot Password?
Create account
Login
or
Continue with Facebook
Continue with Google
Sign Up
Full Name
Email address
Confirm Email Address
Password
Login
Create account
or
Continue with Facebook
Continue with Google
Prev
Previous Chapter
Cover image
Next
Next Chapter
Table of Contents
Quotient Space Based Problem Solving
A Theoretical Foundation of Granular Computing
Ling Zhang
Bo Zhang
Add Highlight
No Comment
..................Content has been hidden....................
You can't read the all page of ebook, please click
here
login for view all page.
Day Mode
Cloud Mode
Night Mode
Reset
