Title: Multiple attribute group decision making method using a new similarity measure in interval type-2 fuzzy sets: a case study

Authors: Armaghan Heidarzade; Iraj Mahdavi; Nezam Mahdavi-Amiri

Addresses: Department of Industrial Engineering, Mazandaran University of Science and Technology, P.O. Box 734, Babol, Iran ' Department of Industrial Engineering, Mazandaran University of Science and Technology, P.O. Box 734, Babol, Iran ' Department of Mathematics, Faculty of Mathematical Sciences, Sharif University of Technology, Tehran, Iran

Abstract: Similarity measures are very important concepts in fuzzy sets theory. There are several definitions for similarity measures in both type-1 and interval type-2 fuzzy sets (IT2-FSs). Here, the problem of finding similarity between two IT2-FSs is considered. A new similarity measure is proposed and its performance is compared with existing approaches in literature. Furthermore, an application of this measure in multiple criteria group decision making problem is given. Based on the proposed similarity measure, the satisfaction degree for different alternatives are established which then are used to rank alternatives in multiple criteria group decision making. Finally, a case study concerning the supplier selection problem is given to illustrate the applicability and advantage of the proposed approach.

Keywords: interval type-2 fuzzy sets; IT2-FSs; similarity measures; fuzzy MADM; multiattribute decision making; group decision making; case study; supplier selection.

DOI: 10.1504/IJMOR.2016.077996

International Journal of Mathematics in Operational Research, 2016 Vol.9 No.2, pp.139 - 166

Received: 12 Sep 2014
Accepted: 19 Oct 2014
Published online: 31 Jul 2016 *

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