Theory of Rank Links: Modeling of Recognition Processes


Otar Verulava
Ramaz Khurodze
Georgian Technical Universtiy, Tbilisi, Georgia

Series: Mathematics Research Developments

This book is dedicated to the common theory creation problems of recognition systems. The proposed theory explores processes of recognition, quantitative descriptions and representations of that are possible. According to this theory, object properties (features) measurable and, consequently, their values can be represented on the real number axis by continuous or discrete successions. This book also discusses proceedings of pattern recognition, which can be considered dedicated to the creation of common mathematical theory of recognition processes.



Table of Contents


List Of Basic Denotations

Chapter 1. Introduction, pp. 1-8

Chapter 2. Realization Location in Feature Space, pp. 9-26

Chapter 3. Rank Links, pp. 27-44

Chapter 4. Clusterization by Rank Links, pp. 45-71

Chapter 5. Compactness, pp. 73-81

Chapter 6. Decision Making by Rank links, pp. 83-96

Chapter 7. Formation of Standard Descriptions, pp. 97-112

Chapter 8. Feature Estimation-Selection, pp. 113-128

Chapter 9. Estimation of Recognition Process Reliability by Clusterization Results, pp. 129-145

Chapter 10. Experimental Research, pp. 147-159



Additional information