Extend a ranking method of trapezoidal fuzzy numbers to all fuzzy numbers by a weighting functions

Abstract

Recently Abbasbandy and Hajjari (Computers and Mathematics with Applications<br />57 (2009) 413-419) have introduced a ranking method for the trapezoidal<br />fuzzy numbers. This paper extends theirs method to all fuzzy numbers,<br />which uses from a defuzzi cation of fuzzy numbers and a general weighting<br />function. Extended method is interesting for ranking all fuzzy numbers, and it<br />can be applied for solving and optimizing engineering and economics problems<br />in a fuzzy environment.