Extend a ranking method of trapezoidal fuzzy numbers to all fuzzy numbers by a weighting functions
Subject Areas : Applied Mathematics
1 - Faculty of Science, Arak Branch, Islamic Azad University, Arak, Iran.
Keywords: Ranking, fuzzy numbers, Weighting function,
Abstract :
Recently Abbasbandy and Hajjari (Computers and Mathematics with Applications57 (2009) 413-419) have introduced a ranking method for the trapezoidalfuzzy numbers. This paper extends theirs method to all fuzzy numbers,which uses from a defuzzi cation of fuzzy numbers and a general weightingfunction. Extended method is interesting for ranking all fuzzy numbers, and itcan be applied for solving and optimizing engineering and economics problemsin a fuzzy environment.