Dynamic hesitant fuzzy aggregation operators in multi-period decision making
Abstract
Purpose
The purpose of this paper is to present some dynamic hesitant fuzzy aggregation operators to tackle with the multi-period decision-making problems where all decision information is provided by decision makers in hesitant fuzzy information from different periods.
Design/methodology/approach
First, the notions and operational laws of the hesitant fuzzy variable are defined. Then, some dynamic hesitant fuzzy aggregation operators involve the dynamic hesitant fuzzy weighted averaging (DHFWA) operator, the dynamic hesitant fuzzy weighted geometric (DHFWG) operator, and their generalized versions are presented. Some desirable properties of these proposed operators are established. Furthermore, two linguistic quantifier-based methods are introduced to determine the weights of periods. Next, the paper extends the results to the interval-valued hesitant fuzzy situation. Furthermore, the authors develop an approach to solve the multi-period multiple criteria decision making (MPMCDM) problems. Finally, an illustrative example is given.
Findings
The presented hesitant fuzzy aggregation operators are very suitable for aggregating the hesitant fuzzy information collected at different periods. The developed approach can solve the MPMCDM problems where all decision information takes the form of hesitant fuzzy information collected at different periods.
Practical implications
The presented hesitant fuzzy aggregation operators and decision-making approach can widely apply to dynamic decision analysis, multi-stage decision analysis in real life.
Originality/value
The paper presents the useful way to aggregate the hesitant fuzzy information collected at different periods in MPMCDM situations.
Keywords
Acknowledgements
The authors are very grateful to the editor David Chapman and the anonymous referees for their insightful and constructive comments and suggestions which have helped to improve the paper. This work was supported in part by the National Natural Science Funds of China (No. 61364065) and the China Postdoctoral Science Foundation (No. 2014M550473).
Citation
Peng, D.-H. and Wang, H. (2014), "Dynamic hesitant fuzzy aggregation operators in multi-period decision making", Kybernetes, Vol. 43 No. 5, pp. 715-736. https://doi.org/10.1108/K-11-2013-0236
Publisher
:Emerald Group Publishing Limited
Copyright © 2014, Emerald Group Publishing Limited