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- Title
A Multi-Attribute Group Decision-Making Method Based on Linguistic Intuitionistic Fuzzy Numbers and Dempster–Shafer Evidence Theory.
- Authors
Liu, Peide; Liu, Xiaoxiao; Ma, Guiying; Liang, Zhaolong; Wang, Changhai; Alsaadi, Fawaz E.
- Abstract
In this paper, we propose a multi-attribute group decision-making (MAGDM) method based on Dempster–Shafer Evidence Theory (DST) and linguistic intuitionistic fuzzy numbers (LIFNs), in which both the expert weights and attribute weights are unknown. Firstly, we represent LIFNs as basic probability assignments (BPAs) by DST based on linguistic scale function (LSF), and a linear programming model is proposed to combine the objective weights and subjective weights of attributes to obtain the combined weights. At the same time, the experts' weights are obtained through Jousselme distance. Secondly, we use the weights to correct the evidence, and the comprehensive evaluation value of each alternative is calculated by the combination rule of evidence. Further, a new MAGDM approach with DST and LIFNs is presented. Finally, we give an example to explain the proposed method and compare it with other methods to show the feasibility and superiority.
- Subjects
DEMPSTER-Shafer theory; GROUP decision making; FUZZY numbers
- Publication
International Journal of Information Technology & Decision Making, 2020, Vol 19, Issue 2, p499
- ISSN
0219-6220
- Publication type
Article
- DOI
10.1142/S0219622020500042