Personalized individual semantics based approach to MAGDM with the linguistic preference information on alternatives
- DOI
- 10.2991/ijcis.11.1.37How to use a DOI?
- Keywords
- Computing with words; multiple attribute group decision making (MAGDM); personalized individual semantics (PIS); numerical scale
- Abstract
Personalized individual semantics (PIS) exist widely in our daily life, and it means that different people have different understandings regarding the same word. In decision making, decision makers are accustomed to express their preferences using a linguistic way, and it is naturally that the PIS will influence the decision result in the linguistic decision making. In this paper, we propose a PIS-based MAGDM framework for multiple attribute group decision making (MAGDM) problems with the linguistic preference information on alternatives. In the novel framework, a two-stage based optimization model is constructed to deal with PIS by minimizing the deviation between objective preference information (i.e., multiple attribute decision matrix) and subjective preference information (i.e., linguistic preference relations over alternatives), and this optimization model is then transformed into a linear programming model that can be easily solved. Based on this, decision makers’ linguistic preference information can be transformed into numerical preference information for implementing the computation process. By fusing objective and subjective preference information, the collective solution of MAGDM problem can be obtained. The numerical and simulation experiments are conducted to verify the effectiveness of the proposal.
- Copyright
- © 2018, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).
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TY - JOUR AU - Yuexuan Wang AU - Yucheng Dong AU - Hengjie Zhang AU - Yuan Gao PY - 2018 DA - 2018/01/22 TI - Personalized individual semantics based approach to MAGDM with the linguistic preference information on alternatives JO - International Journal of Computational Intelligence Systems SP - 496 EP - 513 VL - 11 IS - 1 SN - 1875-6883 UR - https://doi.org/10.2991/ijcis.11.1.37 DO - 10.2991/ijcis.11.1.37 ID - Wang2018 ER -