Fuzzy Sets Theory Preliminary: Can a Washing Machine Think? [Hardcover]

This basic book has been used at the middle schools in Shanghai, China for more than 10 years.  The book presents carefully-selected contents in order to achieve the roles of enlightenment and popularization. It mainly includes: Chapter 1: Human Brains, Computers and Fuzzy Mathematics; Chapter 2: Matrix, Fuzzy Relations and Fuzzy Matrix; Chapter 3: Fuzzy Control; Chapter 4: Fuzzy Statistics and Fuzzy Probability and Chapter 5: Fuzzy Linear Programming. It includes at the end of each chapter concise, interesting and profound reading and thinking materials, and a certain amount of exercises so as to make it an informative and interesting textbook. This book can be used not only as a textbook in senior middle schools, and in vocational colleges, but also as a primer for individually learning fuzzy mathematics.

 

Introduction.- Human Brain, Computers and Fuzzy Mathematics.- Matrix. Fuzzy Relations and Fuzzy Matrix.- Fuzzy Contol.- Fuzzy Statistics and Fuzzy Probability.- Fuzzy Linear Programming.This book ... is aimed to give basic knowledge about the theoretical background of some parts of fuzzy mathematics, and sketches several possible applications. ... This book also provides several simple exercises to support the presented ideas. The presentation of new non-standard ideas (without going to superfluously deep results out of the understanding of middle-school students) makes this book a useful starting literature, also for any researcher aiming to understand the philosophy of fuzzy mathematics. (Radko Mesiar, zbMath 1412.03001, 2019)Hao-ran Lin, male, graduated from the Department of Mathematics, Shanghai Normal University in 1968, has long been engaged teaching in middle school mathematics . Since 1997, by using teaching materials, he tried fuzzy mathematics enlightenment and popularization work first in ordinary middle schools and published twenty papelÓÏ