%0 Journal Article
%A YU Qian1
%A HOU Fujun2
%T Application of hesitant trapezoid fuzzy aggregation operators on multiple attribute decision making
%D 2018
%R 10.3778/j.issn.1002-8331.1708-0013
%J Computer Engineering and Applications
%P 252-257
%V 54
%N 22
%X Combining hesitant fuzzy set and trapezoid fuzzy set, this paper provides the hesitant trapezoid fuzzy set. Firstly, the algorithm of hesitant trapezoid fuzzy number is proposed, and the Hesitant Trapezoid Fuzzy Weighted Average（HTrFWA） operator and the Hesitant Trapezoid Fuzzy Weighted Geometric（HTrFWG） operator are defined. Considering the fact that the ordered position of the hesitant trapezoidal fuzzy numbers has different weights, the Hesitant Trapezoid Fuzzy Ordered Weighted Average（HTrFOWA） operator and the Hesitant Trapezoid Fuzzy Ordered Weighted Geometric（HTrFOWG） operator are defined, and their operation laws are discussed. Secondly, the score function of hesitant trapezoid fuzzy number is defined, and the sorting method is given correspondingly. Furthermore, an approach based on the HTrFWA operator and HTrFWG operator is proposed for multiple attribute decision making problems under hesitant trapezoid fuzzy environment. Finally, a numerical example is given to illustrate the application of the proposed approach.
%U http://cea.ceaj.org/EN/10.3778/j.issn.1002-8331.1708-0013