Affiliations: [a] Business School, Central South University, Changsha, China | [b] School of Management, Qingdao Technological University, Qingdao, China | [c] School of Management and Economics, Beijing Institute of Technology, Beijing, China
Correspondence:
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Corresponding author. Xiaohong Chen, Business School, Central South University, Changsha 410083, China. Tel.: +86 13907311309; cxh@csu.edu.cn
Abstract: This paper studies some uncertain generalized aggregation operators based on the Shapley function, two of which are named the uncertain induced generalized Shapley averaging (UIGSA) operator and the uncertain induced generalized hybrid Shapley averaging (UIGHSA) operator. These two operators consider the interactive characteristics between elements and that of their ordered positions. Meanwhile, some important cases and desirable properties are studied. To simplify the complexity of solving a fuzzy measure, the uncertain induced generalized λ-Shapley averaging (UIGλSA) operator and the uncertain induced generalized hybrid λ-Shapley averaging (UIGHλSA) operator based on λ-fuzzy measures are presented. Finally, two new approaches to uncertain multi-attribute group decision making are developed, and a numerical example is provided to illustrate the proposed procedures.
Keywords: Multi-attribute group decision making, uncertain aggregation operator, λ-fuzzy measure, Shapley function
