Abstract: In order to describe the multi-attribute group decision information of hesitant fuzzy set more comprehensively,the weighted hesitant fuzzy set is defined by adding the associated comprehensive weight of decision expert to the membership degree of hesitant fuzzy set.On the basis of using weighted hesitant fuzzy set to describe decision information,two algorithms for sorting alternative solutions based on single attribute view are established.Finally,the feasibility of the two algorithms are verified by a concrete case.The results show that the two algorithms are easy to operate and calculate,and can be converted into each other.

Key words: weighted hesitant fuzzy set, plane vector score function, deviation degree function of plane vector, decision making expert, comprehensive weight