Two normalized projection models and application to group decision-making

Article type: Research Article

Authors: Yue, Chuan^*

Affiliations: College of Mathematics and Computer Science, Guangdong Ocean University, Zhanjiang, Guangdong, China

Correspondence: [*] Corresponding author. Chuan Yue, College of Mathematics and Computer Science, Guangdong Ocean University, Zhanjiang 524088, China. Tel.: +86 759 2383064; E-mail: [email protected].

Abstract: Projection can measure not only the distance but also the angle between two decision objects. It has become one of important tools for complex decisions. This research finds that the existing projection formulae are unreasonable in real vector and interval vector settings. To solve this problem, this paper develops two new normalized projection measures. And new projection measures are applied to group decision-making with hybrid decision information. The applicability and feasibility are shown by an experimental analysis. The results show that the projection measures improved in this paper are superior to the existing ones.

Keywords: Normalized projection measure, real vector, interval vector, group decision-making, hybrid information

DOI: 10.3233/JIFS-16537

Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 6, pp. 4389-4402, 2017