title: Some Muirhead Mean Operators for Intuitionistic Fuzzy Numbers and Their Applications to Group Decision Making.
abstract: Muirhead mean (MM) is a well-known aggregation operator which can consider interrelationships among any number of arguments assigned by a variable vector. Besides, it is a universal operator since it can contain other general operators by assigning some special parameter values. However, the MM can only process the crisp numbers. Inspired by the MM' advantages, the aim of this paper is to extend MM to process the intuitionistic fuzzy numbers (IFNs) and then to solve the multi-attribute group decision making (MAGDM) problems. Firstly, we develop some intuitionistic fuzzy Muirhead mean (IFMM) operators by extending MM to intuitionistic fuzzy information. Then, we prove some properties and discuss some special cases with respect to the parameter vector. Moreover, we present two new methods to deal with MAGDM problems with the intuitionistic fuzzy information based on the proposed MM operators. Finally, we verify the validity and reliability of our methods by using an application example, and analyze the advantages of our methods by comparing with other existing methods.
authors.affiliation: School of Economics and Management, Fuzhou University, Fuzhou, Fujian, China.|School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, Shandong, China.
authors.forename: Peide
authors.identifier: http://orcid.org/0000-0001-5048-8145
authors.initials: P
authors.lastname: Liu
authors.affiliation: School of Economics and Management, Fuzhou University, Fuzhou, Fujian, China.
authors.forename: Dengfeng
authors.initials: D
authors.lastname: Li
mesh_terms: D003657:Decision Making; D017143:Fuzzy Logic; D006126:Group Processes; D006801:Humans; D019545:Intuition; D008962:Models, Theoretical