The Hesitant Fuzzy Weighted OWA Operator and its Application In Multiple Attribute Decision Making

Abstract

The weighted ordered weighted averaging(WOWA) operator introduced by Torra is an important aggregation technique, which includes the famous weighted averaging(WA) operator and the ordered weighted averaging(OWA) operator as special cases. In this paper, we introduce a new hesitant fuzzy decision making technique called the hesitant fuzzy weighted OWA(HFWOWA) operator. It is an extension of the WOWA operator with the uncertain information represented as hesitant fuzzy numbers.It is shown that many existing hesitant fuzzy aggregation operators are the special cases of our proposed operator. We also study some of its main properties, such as commutativity, monotonicity and boundary.Moreover, an approach is proposed for multiple attribute decision making based on the proposed operator. Finally, an example is given to illustrate the developed method.