An intuitionistic fuzzy multi-attribute group decision making method with incomplete weight information based on improved VIKOR

Issue title: Special Section: Fuzzy Decision Making and Applications in Knowledge Management

Guest editors: Justin Zhang

Article type: Research Article

Authors: Wang, Qifeng | Sun, Haining | Zhou, Liandong^{; *}

Affiliations: Logistics and E-Commerce College, Zhejiang Wanli University, Ningbo, China

Correspondence: [*] Corresponding author. Liandong Zhou, Logistics and E-Commerce College, Zhejiang Wanli University, Ningbo, China. E-mail: [email protected].

Abstract:  With respect to the decision making problems where the information of the attribute weights is incomplete under the intuitionistic fuzzy environment, a decision making method based on the improved VIKOR is developed. Firstly considering the advantage of the intuitionistic fuzzy set in expressing the decision makers’ preference information, the intuitionistic fuzzy evaluation matrices are established. In order to derive the attribute weights from the incomplete attribute information of weights, a linear programming model is proposed. Then the traditional VIKOR method is improved by replacing the distance measure with projection model. Finally an illustrative example is given to prove the practicality and effectiveness of the method proposed.

Keywords: Improved VIKOR method, projection model, intuitionistic fuzzy number, decision making, linear programming model

DOI: 10.3233/JIFS-179228

Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 2, pp. 1639-1647, 2019