Interval type-2 hesitant fuzzy set and its application in multi-criteria decision making

This paper proposes the concept of interval type-2 hesitant fuzzy set (IT2HFS), which is a generalization of interval type-2 fuzzy set and hesitant fuzzy set. Firstly, IT2HFS is defined, and its operation laws and corresponding properties are discussed. Then, its score function and aggregation operators are also outlined. Moreover, a multi-criteria decision making method for interval type-2 hesitant fuzzy problems is suggested based on the aggregation operators and score function. Finally, an example is illustrated to demonstrate the validity and feasibility of the proposed method. (C) 2015 Elsevier Ltd. All rights reserved.