Some Approximation Methods in Fuzzy Logic: Some Method For Finding Approximation of Fuzzy Functions and Fuzzy Numbers

By Majid Amirfakhrian

In this book we define some new methods to approximate a fuzzy function by fuzzy polynomials. Also by introducing some new distances we define the nearest approximations of a fuzzy number. In his book, the definition of fuzzy linear programming with fuzzy variables and a method for solving it according to a special class of ranking which is used to find the approximating polynomials as well as definition of the problem of approximation, are discussed . Then the approximation problem on triangular fuzzy numbers leads us to an approximating polynomial name eϕ-approximation and on the set of all fuzzy numbers, the approximation problem gives us the D-approximation and we present a method to find it, also the universal and SAF-approximations which are special cases of D-approximation are found in this book . Also two best approximations of a triangular valued fuzzy function on a set of points are defined and are computed . Furthermore a chapter contains an idea for computing the nearest approximation of a fuzzy number out of a particular subset of all fuzzy numbers.

• Format: Paperback
• Language: English
• ISBN: 3659137405
• ISBN13: 9783659137402
• Release Date: May 2012
• Publisher: LAP Lambert Academic Publishing
• Length: 132 Pages
• Weight: 0.45 lbs.
• Dimensions: 0.3" x 6.0" x 9.0"