Group decision making in the analytic hierarchy process by hesitant fuzzy numbers

Abstract

‎Hesitant fuzzy numbers have been presented as an extension of the fuzzy numbers to take a better determining the membership functions of the parameters by several experts‎. ‎In this paper‎, ‎we use a triangular hesitant fuzzy numbers in the pairwise comparison matrix of analytic hierarchy process ‎‎by opinions of a group of decision maker‎‏s in ‎a‎ hesitant fuzzy environment‎. ‎We define consistency of the hesitant fuzzy pairwise comparison matrix and use the arithmetic operations on the hesitant fuzzy numbers and a new method of comparing hesitant fuzzy numbers to get the hesitant fuzzy performance score‎. ‎Finally‎, ‎a practical example is provided to show the the effectiveness of this study‎.