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

محورهای موضوعی : Applied Mathematics

Abolfazl Saiedifar ¹ (Faculty of Science, Arak Branch, Islamic Azad University, Arak, Iran.)

تاریخ دریافت : 1395/06/22 تاریخ پذیرش : 1395/12/02 تاریخ انتشار : 1396/09/10

کلید واژه: Ranking, fuzzy numbers, Weighting function,

چکیده مقاله :

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.