Some Hesitant Fuzzy Aggregation Operators with Their Application in Group Decision Making

• Published in: Group decision and negotiation Vol. 22; no. 2; pp. 259 - 279
• Main Authors: Xia, Meimei, Xu, Zeshui, Chen, Na
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.03.2013; Springer; Springer Nature B.V
• Subjects: Bargaining; Biological and Physical Anthropology; Business and Management; Correlation; Data aggregation; Decision makers; Decision making; Decision making units; Expected utility; Fuzzy sets; Group decision making; Information; Linguistics; Multiple criteria decision making; Operators; Preferences; Statistical analysis; Time series; Group decision making; Hesitant fuzzy set; Weight vector; Aggregation operator
• ISSN: 0926-2644; 1572-9907
• DOI: 10.1007/s10726-011-9261-7

Hesitancy is the most common problem in decision making, for which hesitant fuzzy set can be considered as a suitable means allowing several possible degrees for an element to a set. In this paper, we study the aggregation of the hesitancy fuzzy information. Several series of aggregation operators are proposed and the connections of them are discussed. To reflect the correlation of the aggregation arguments, two methods are proposed to determine the aggregation weight vectors. Based on the support degrees among aggregation arguments, the weight vector of decision makers are obtained more objectively. To deal with the correlation of criteria, we apply the Choquet integral to get the weights of criteria. A method is also proposed for group decision making under hesitant fuzzy environment.