Affiliations: [a]
School of Economics, Fujian Normal University, Fujian, China
| [b]
Decision Sciences Institute, Fuzhou University, Fujian, China
Correspondence:
[*]
Corresponding author. Longzhong Yan, School of Economics, Fujian Normal University, Fujian, China. E-mail: [email protected].
Abstract: The theory of hesitant fuzzy set is powerful in capturing fuzziness when a decision maker hesitates among some possible values in assessment. In this paper, a novel method is developed for weight determination based on the hesitant fuzzy cosine similarity. This method fully considers the impact of each criterion as well as their mutual relationship on decision analysis. Additionally, we extend this cosine similarity-based method for deriving priorities from a hesitant multiplicative preference relation. This method has a clearer modeling mechanism that the priority vector derived from a hesitant multiplicative preference relation should be as highly cosine-similarity correlated with its column vectors as possible. Then an optimization model can be sequentially established. After that, the proposed methods are demonstrated with two numerical examples and compared with other similar approaches to show the validity and superiority.
