Probability and Fuzzy Information Theory and Its Applications

Author: Liu Lizhu Liu Lizhu
Publisher:
Publish Date: 2004-07-01
Features: This book summarizes the author's scientific research achievements, academic research findings, and teaching experience in the field of information technology over the years. It incorporates many new theories and technological achievements published by scholars, tracks the forefront of the field's development, and demonstrates strong systematicity, logic, and accuracy. The book is divided into four parts: Part 1 is an introduction; Part 2 is Probabilistic Information Theory, covering Chapters 2 to 6; Part 3 is Fuzzy Information Theory, covering Chapters 7 to 14; and Part 4, which is Chapter 15, focuses on the comprehensive processing and application of probabilistic and fuzzy information. The book provides a detailed discussion of the theories of probabilistic entropy and fuzzy entropy. Considering how to apply fuzzy information theory to various technical fields, it elaborates in detail on the fuzzy statistical method, fuzzy Delphi method, optimization processing methods, and neural network determination methods for the membership functions of fuzzy sets. From the perspective of cultivating students' abilities to analyze and solve problems, as well as their engineering application skills, the book strives for the unification of theory and technology, including practical content such as the theory and technology of approximating the lower bound of code length, the theory and technology of optimizing the design of communication systems, the fuzzy classification and recognition of signals, the fuzzy detection and decision-making of signals, fuzzy processing methods for images, and fuzzy information systems. This book is suitable for use as a textbook for undergraduate and graduate students in majors such as communication, computer science, signal and information processing, remote sensing and telemetry, and automatic control. It can also serve as a reference for researchers and engineering professionals.