TOPSIS and Choquet integral hybrid technique for solving MAGDM problems with interval type-2 fuzzy numbers

Issue title: Selected papers from the 4th Iranian Joint Congress On Fuzzy and Intelligent Systems – CFIS2015, 9–11 September 2015

Article type: Research Article

Authors: Nehi, Hassan Mishmast^* | Keikha, Abazar

Affiliations: Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran

Correspondence: [*] Corresponding author. Hassan Mishmast Nehi, Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran. Tel./Fax: +98 54 33447166; E-mail: hmnehi@hamoon.usb.ac.ir.

Abstract: There are two very usful methods for solving MAGDM problems, called TOPSIS method and Choquet integral method. Because of the ability of Choquet integral method in managing of interaction criteria, we combined it with TOPSIS method to use from their benefits. First, we will introduce a new method for computing the distance between IT2FNs. Then, we proposed a hybrid method based on TOPSIS and Choquet integral in fuzzy type-2 environment. Numerical examples are considered to illustrate the proposed methods.

Keywords: Choquet integral, ranking function, IT2FN, fuzzy measure

DOI: 10.3233/IFS-152044

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 3, pp. 1301-1310, 2016