Multi-attribute Decision Making Based on the Choquet Integral Operator with Hesitant Fuzzy Linguistic Information

In this paper, we investigate the multiple attribute decision making (MADM) problems under hesitant fuzzy linguistic environment. Firstly, by using Choquet integral, the hesitant fuzzy linguistic Choquet integral operator is developed for aggregating hesitant fuzzy linguistic information. The properties of the proposed operator are also investigated, such as idempotence, monotonicity, boundedness and exchangeability. Next, we apply the proposed operator to deal with MADM problems under hesitant fuzzy linguistic environment. Finally, a numerical example of information security risk assessment brought by paperless office is given to demonstrate the proposed method. This aggregation method can not only better solve the interaction between attributes but also reflect the practicability and effectiveness of decision making.