A new attitude coupled with the basic thinking to ordering for ranking fuzzy numbers
الموضوعات : مجله بین المللی ریاضیات صنعتی
F. Abbasi‎
1
(Department of Mathematics, Ayatollah Amoli Branch, Islamic Azad University, Amol, Iran.)
T. Allahviranloo
2
(Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.)
S. Abbasbandy
3
(Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.)
الکلمات المفتاحية: Ranking fuzzy numbers, Transmission average (TA), Fuzzy par, Ambiguity rank, Fuzzy partial order,
ملخص المقالة :
‎Ranking fuzzy numbers is generalization of the concepts of order, and class, and so have fundamental applications. Moreover, deriving the final efficiency and powerful ranking are helpful to decision makers when solving fuzzy problems. Selecting a good ranking method can apply to choosing a desired criterion in a fuzzy environment. There are numerous methods proposed for the ranking of fuzzy numbers, some of them seem to be good in a particular context but not in general. In this paper, a new attitude coupled with the basic thinking of ordering for ranking of fuzzy numbers is proposed. The properties of the proposed method are discussed in detail. The ranking results show that the proposed method can overcome certain shortcomings that exist in the previous ranking methods.The method also has very easy and simple calculations compared to other methods. Finally, numerical examples are presented to illustrate the advantage of our proposed method, and compare them with other common ranking methods. The future prospect of this paper is a new attitude to fuzzy distance, which will be referred to in the ‎end.
