Introduction to Fuzzy Arithmetic: Theory and Applications

by A. Kaufmann

Here's how to use fuzzy logic to overcome design challenges of designing and analyzing complex processes in order to make televisions, camcorders, washing machines, and other products run more... This description may be from another edition of this product.

• Format: Hardcover
• Language: English
• ISBN: 0442230079
• ISBN13: 9780442230074
• Release Date: January 1985
• Publisher: Van Nostrand Reinhold Company
• Length: 267 Pages
• Weight: 1.55 lbs.

Customer Reviews

Steal this book!

The style of this book is excellent in that it gives you plenty of examples of how fuzzy arithmetic works. Honestly, I doubt there exists a more comprehensive book on fuzzy arithmetic around. You'll find information on fuzzy numbers and their basic arithmetic, how alpha cuts work in fuzzy arithemtic, type-two fuzzy numbers, probabilisitic-fuzzy hybrid numbers, fuzzy modular arithmetic, combinatorics with fuzzy numbers, and an application of fuzzy arithmetic to catastrophe theory. And more, of course. If you can find a copy, get it immediately. The explanations are clear, the reasoning is thorough, and the examples carefully illustrate the ideas. Steal this book!

Outstanding - a book that opens many doors.

I've had this book for years, and keep coming back to it. Many books define fuzzy numbers in various ways, and hint at combining them with some kind of arithmetic. Kaufmann and Gupta actually carry out those operations. Since fuzzy addition is a kind of convolution, they also show why fuzzy subtraction does not reverse the operation - deconvolution does. If you want to use fuzzy arithmetic for constraint propagation, this changes the basic nature of backwards propagation.I just wish the author's clarity had extended a little farther into the mechanics of the various kinds of convolution. They handle discrete cases only, and offer about the least readable presentation of convolution that I've ever seen. I'm not a theoretician, so I appreciate the book's clarity and examples. It is so clear and thorough that I refer to it for ideas quite unrelated to fuzzy arithmetic. If a sign of a great book is the number of unrelated topics that it clarifies, then this title is very good indeed.This title may not suit the beginner and may not suit the expert. For us in the middle, though, it is incredibly helpful.