Towards a Unified Modeling and Knowledge-Representation based on Lattice Theory: Computational Intelligence and Soft Computing Applications

✍ Scribed by Prof. Vassilis G. Kaburlasos (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2006
• Tongue: English
• Leaves: 260
• Series: 27
• Edition: 1
• Category: Library

✦ Synopsis

By ‘model’ we mean a mathematical description of a world aspect. With the proliferation of computers a variety of modeling paradigms emerged under computational intelligence and soft computing. An advancing technology is currently fragmented due, as well, to the need to cope with different types of data in different application domains. This research monograph proposes a unified, cross-fertilizing approach for knowledge-representation and modeling based on lattice theory. The emphasis is on clustering, classification, and regression applications. It is shown how rigorous analysis and design can be pursued in soft computing using conventional (hard computing) methods. Moreover, non-Turing computation can be pursued. The material here is multi-disciplinary based on our on-going research published in major scientific journals and conferences. Experimental results by various algorithms are demonstrated extensively. Relevant work by other authors is also presented both extensively and comparatively.

✦ Table of Contents

Front Matter....Pages I-XXII
Front Matter....Pages 1-1
Origins in Context....Pages 3-4
Relevant Literature Review....Pages 5-18
Front Matter....Pages 19-19
Novel Mathematical Background....Pages 21-34
Real-World Grounding....Pages 35-62
Knowledge Representation....Pages 63-66
The Modeling Problem and its Formulation....Pages 67-70
Algorithms for Clustering, Classification, and Regression....Pages 71-94
Front Matter....Pages 95-95
Numeric Data Applications....Pages 97-122
Nonnumeric Data Applications....Pages 123-140
Connections with Established Paradigms....Pages 141-172
Front Matter....Pages 173-173
Implementation Issues....Pages 175-178
Discussion....Pages 179-182
Back Matter....Pages 184-245

✦ Subjects

Appl.Mathematics/Computational Methods of Engineering; Artificial Intelligence (incl. Robotics); Applications of Mathematics