Introducing a Revised Approach for Ranking Fuzzy Numbers by Rank and Mode
الموضوعات : مجله بین المللی ریاضیات صنعتی
Rahim Saneifard
1
(Department of Mathematics, Urmia Branch, Islamic Azad University, Urmia, Iran.)
Rasoul Saneifard
2
(Department of Engineering Technology, Texas Southern University, Houston, Texas, USA.)
Mahsa Sabouri‎‎
3
(Department of Mathematics, Urmia Branch, Islamic Azad University, Urmia, Iran.)
الکلمات المفتاحية: L-R type generalized fuzzy number, Fuzzy function, Fuzzy numbers,
ملخص المقالة :
Many methods for ranking fuzzy numbers have been proposed. The existing methods for ranking generalized fuzzy numbers based on the optimistic index $(\alpha) $ gives different values for comparing the numbers by using different values of the optimistic index $(\alpha)$ and it is the shortcoming of this method. So we introduce a new defuzzification using a crisp number for ordering and comparing the fuzzy numbers. The calculation of the proposed method is simpler and easier in comparison the other methods and it provides the correct ordering of generalized fuzzy numbers. It is shown that the proposed modification satisfies all the reasonable properties of fuzzy quantities (I) and (II) proposed by X. Wang, E. E. Kerre.
