Hesitant Fuzzy Linguistic Ordered Weighted Distance Operators for Group Decision Making

Since the concept of hesitant fuzzy sets was put forward, different types of extensions have been proposed to deal with actual problems. A hesitant fuzzy linguistic term set provides a linguistic and computational basis to increase the flexibility and richness of linguistic elicitation based on the fuzzy linguistic approach. In this paper, we consider the concept of distance operator and develop a hesitant fuzzy linguistic ordered weighted distance (HFLOWD) operator. The HFLOWD operator is very suitable to deal with the uncertain situations with linguistic information. Moreover, it is also a new aggregation operator that provides parameterized families of distance aggregation operators between the minimum and the maximum distance. Some of its main properties and different families of HFLOWD operators are investigated. Finally, an application of the new approach is offered and comparative analyses are also provided to show the advantages over existing methods.

http://link.springer.com/article/10.1007%2Fs12190-014-0839-5