Fuzzy Set Introduction - (Volume 2)

Author: Luo Chengzhong (Compiler)
Publisher:
Publish Date: 2007-02-01
Features: This book is based on Professor Wang Peizhuang's "Fuzzy Set Theory and Its Applications," referencing relevant works both domestically and internationally, and summarized through the author's teaching practice. The book is divided into two volumes. The second volume includes eight chapters: Fuzzy Systems, Fuzzy Probability and Fuzzy Information, L-Fuzzy Sets, Possibility Measure and Fuzzy Integral, Fuzzy Measure and Integral, Fuzzy Topology, Fuzzy Groups and Fuzzy Categories, Factor Space, Shadow Theory and Truth-Flow Reasoning. Each chapter is accompanied by a set of exercises. The final chapter introduces three theories proposed by Professor Wang Peizhuang in the early 1990s and the research work conducted by Beijing Normal University in this field, including fuzzy reasoning machines and expert systems. This book serves as a foundational textbook for fuzzy mathematics and is suitable for use in relevant majors at higher education institutions. The second volume can also be used as a graduate-level foundational course textbook, as well as a reference for researchers and professionals in fuzzy mathematics and related fields.