Abstract
In this paper, we propose the generalized hesitant fuzzy harmonic mean operators including the generalized hesitant fuzzy weighted harmonic mean operator (GHFWHM), the generalized hesitant fuzzy ordered weighted harmonic mean operator (GHFOWHM), and the generalized hesitant fuzzy hybrid harmonic mean operator (GHFHHM), using the technique of obtaining values in the interval. Then we apply the developed aggregation operators to group decision making under hesitant fuzzy environment. Considering the existing hesitant fuzzy group decision-making method does not distinguish the importance degrees of different experts, we present a new group decision-making algorithm which can consider the weight of every expert. Two numerical examples are used to illustrate the effectiveness of the proposed operators and the new group decision-making algorithm.
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