In this paper, some drawbacks to existing ordering relations for hesitant fuzzy sets are examined using examples. To overcome these flaws, a priority degree formula for comparing two hesitant fuzzy sets is presented and the desirable priority degree properties studied. Then, based on an...

In this paper, a new linguistic aggregation operator in linguistic environment is established and the desirable properties: monotonic, focus effect, idempotent, commutative and bounded are studied. Then, a new restricted ordering relation on the n-dimensional linguistic scales is proposed which...