Interval-valued intuitionistic fuzzy combined weighted averaging operator for group decision making

Abstract

Determining the attribute weights, in the multiple attribute group decision-making analysis with interval-valued intuitionistic fuzzy information, plays a crucial role because of its direct effect on the optimal alternative. In this paper, we develop a new attribute weight based on the support and entropy measure of attribute values. Then, the interval-valued intuitionistic fuzzy combined weighted averaging (IVIFCWA) operator is proposed and its some primary properties are discussed. The IVIFCWA operator’s attribute values take the form of interval-valued intuitionistic fuzzy numbers and the principal component of the interval-valued intuitionistic fuzzy number is fully taken into account. Finally, a numerical example concerning the investment strategy is given to illustrate the validity and applicability of the proposed method.

Keywords:

• interval-value intuitionistic fuzzy number
• attribute weight
• support measure
• interval-valued intuitionistic fuzzy combined weighted averaging operator
• group decision making

Acknowledgements

The authors express their gratitude to the Editor and the anonymous reviewers for their insightful and constructive comments. This work was supported by the Graduate Teaching Reform Research Program of Chongqing Municipal Education Commission (No.YJG143010) and the Chongqing Research and Innovation Project of Graduate Students (Nos. CYS15165 and CYS16 172).