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2018 | Book

Human Brain, Computer and Fuzzy Mathematics Read chapter Read first chapter

Fuzzy Sets Theory Preliminary

Can a Washing Machine Think?

Authors: Hao-Ran Lin, Bing-Yuan Cao, Yun-zhang Liao

Publisher: Springer International Publishing

Part of: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik" , Springer Professional "Wirtschaft"

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About this book

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.

Table of Contents

Frontmatter
Chapter 1. Human Brain, Computer and Fuzzy Mathematics
Abstract
The science that analyzes and processes fuzzy phenomena and things with mathematical tools is called fuzzy mathematics.
Hao-Ran Lin, Bing-Yuan Cao, Yun-zhang Liao
Chapter 2. Matrix, Fuzzy Relation and Fuzzy Matrix
Abstract
A matrix is a common mathematical tool, a way to record and manage a large volume of data. It can store information succinctly. By matrix operations, you can easily process into information.
Hao-Ran Lin, Bing-Yuan Cao, Yun-zhang Liao
Chapter 3. Fuzzy Control
Abstract
In order to understand fuzzy control, we have to start with automatic controls. There are many examples in automatic controls in our daily lives. We want to use the toilet every day. Its water tank is controlled automatically.
Hao-Ran Lin, Bing-Yuan Cao, Yun-zhang Liao
Chapter 4. Fuzzy Statistics and Fuzzy Probability
Abstract
In the objective world, randomness and fuzziness coexist inside many things. Although fuzzy mathematics and probability theory cannot replace each other, they can infiltrate into each other. The fuzziness is introduced into stochastic phenomena in this chapter. Simple fuzzy statistics and fuzzy probability will be discussed.
Hao-Ran Lin, Bing-Yuan Cao, Yun-zhang Liao
Chapter 5. Fuzzy Linear Programming
Abstract
Linear Programming (LP for short) is the ability by which the human being is endowed to represent general goals, in the face of immense complexity of practice, to achieve the goals best and give a detailed decision making solution.
Hao-Ran Lin, Bing-Yuan Cao, Yun-zhang Liao
Backmatter
Metadata
Title
Fuzzy Sets Theory Preliminary
Authors
Hao-Ran Lin
Bing-Yuan Cao
Yun-zhang Liao
Copyright Year
2018
Electronic ISBN
978-3-319-70749-5
Print ISBN
978-3-319-70747-1
DOI
https://doi.org/10.1007/978-3-319-70749-5

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