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

الموضوعات :

Abolfazl Saiedifar ¹

1 - Faculty of Science, Arak Branch, Islamic Azad University, Arak, Iran.

تاريخ الإرسال : 11 الإثنين , ذو الحجة, 1437 تاريخ التأكيد : 23 الإثنين , جمادى الأولى, 1438 تاريخ الإصدار : 13 الجمعة , ربيع الأول, 1439

الکلمات المفتاحية: Ranking, fuzzy numbers, Weighting function,

ملخص المقالة :

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.