Parameterized intuitionistic fuzzy trapezoidal operators and their application to multiple attribute group decision making

Authors:
Zhiming Zhang;Dazeng Tian;Kai Li
Affiliations:
College of Mathematics and Computer Science, Hebei University, Baoding, Hebei Province, PR China;College of Physics Science and Technology, Hebei University, Baoding, Hebei Province, PR China;College of Mathematics and Computer Science, Hebei University, Baoding, Hebei Province, PR China
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2014

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Abstract

The aim of this paper is to develop a series of parameterized intuitionistic fuzzy trapezoidal operators for aggregating intuitionistic fuzzy trapezoidal numbers. First, the concept and some operational laws of intuitionistic fuzzy trapezoidal numbers are introduced. Then, based on these operational laws, we present some parameterized intuitionistic fuzzy trapezoidal operators for aggregating the attribute values that take the form of intuitionistic fuzzy trapezoidal numbers. We study some desired properties of these aggregation operators and investigate the relationships among these operators. Furthermore, we apply these aggregation operators to develop an approach to multiple attribute group decision making with intuitionistic fuzzy trapezoidal information. Finally, an illustrative example is provided to demonstrate the practicality and effectiveness of the developed approach.