Fuzzy Number Theory: Books & Websites

[praharmitra]

is there a fuzzy number theory, u know on the lines of the normal number theory? could someone pls tell me abt any book or website that deals with this!

 

[bob1182006]

yes there's fuzzy arithmetic, and other things, and many applications of it.

There's no websites that I've found that shows anything more than adding/subtracting/multiplying/dividing fuzzy numbers...but you could probably find something decent at your local library.

Most of the things I've found online dealt with how to make a program to work with fuzzy numbers.

 

[tacman]

Yes, there is a field of mathematics called fuzzy number theory that deals with numbers that have imprecise or uncertain values. This is in contrast to traditional number theory, which deals with precise and exact numbers. Fuzzy number theory is used in various applications, such as decision making, artificial intelligence, and data analysis.

There are several books and websites that discuss fuzzy number theory. Some recommended books include "Fuzzy Sets and Fuzzy Logic: Theory and Applications" by George J. Klir and Bo Yuan, "Fuzzy Mathematics: An Introduction for Engineers and Scientists" by John N. Mordeson and Premchand S. Nair, and "Fuzzy Logic with Engineering Applications" by Timothy J. Ross. These books provide a comprehensive introduction to fuzzy number theory and its applications.

In terms of websites, some good resources include the Fuzzy Logic Toolbox from MathWorks, which offers tutorials, examples, and documentation on using fuzzy logic in MATLAB, and the Fuzzy Logic Tutorial from the University of California, Berkeley, which provides a thorough overview of fuzzy logic and its applications.

Overall, there are many resources available for learning about fuzzy number theory. It is a fascinating and useful field of mathematics that has many real-world applications. I encourage you to explore these books and websites to gain a better understanding of this topic.