title: A value and ambiguity-based ranking method of trapezoidal intuitionistic fuzzy numbers and application to decision making.
abstract: The aim of this paper is to develop a method for ranking trapezoidal intuitionistic fuzzy numbers (TrIFNs) in the process of decision making in the intuitionistic fuzzy environment. Firstly, the concept of TrIFNs is introduced. Arithmetic operations and cut sets over TrIFNs are investigated. Then, the values and ambiguities of the membership degree and the nonmembership degree for TrIFNs are defined as well as the value-index and ambiguity-index. Finally, a value and ambiguity-based ranking method is developed and applied to solve multiattribute decision making problems in which the ratings of alternatives on attributes are expressed using TrIFNs. A numerical example is examined to demonstrate the implementation process and applicability of the method proposed in this paper. Furthermore, comparison analysis of the proposed method is conducted to show its advantages over other similar methods.
authors.affiliation: Institute of Tourism, Sanming University, Sanming, Fujian 365004, China.
authors.forename: Xiang-tian
authors.initials: XT
authors.lastname: Zeng
authors.affiliation: School of Economics and Management, Fuzhou University, Fuzhou, Fujian 350108, China.
authors.forename: Deng-feng
authors.initials: DF
authors.lastname: Li
authors.affiliation: Institute of Information Engineering, Sanming University, Sanming, Fujian 365004, China.
authors.forename: Gao-feng
authors.initials: GF
authors.lastname: Yu
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical