Large-scale group decision making with multiple stakeholders based on probabilistic linguistic preference relation |
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Affiliation: | 1. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098, PR China;2. Research Institute of Management Science, Business School, Hohai University, Nanjing 211100, PR China;3. Department of Computer Science and Artificial Intelligence, University of Granada, Granada 18071, Spain;4. Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
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Abstract: | A large number of stakeholders take part in the process of decision making, namely, large-scale group decision making (LGDM) problems. Every stakeholder utilises a linguistic preference relation (LPR) to represent her/his preference information for alternatives. Then, a probabilistic LPR (PLPR) is established to represent the group preference. However, some stakeholders may only provide partial preference information about the alternatives. Thus, a PLPR with incomplete probabilities can be used to manage LGDM problems in complex environments. Based on the defined expected multiplicative consistency of PLPR, a probability computation model is established by mathematical programming to derive the missing probabilities of PLPR. In addition, an iterative algorithm to improve the consistency is proposed to obtain the PLPR with satisfactory consistency. Finally, a real-world investment decision-making problem with multiple stakeholders is solved to demonstrate the effectiveness of the proposed method. |
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Keywords: | Probabilistic linguistic preference relation Multiple stakeholders Large-scale group decision making Expected multiplicative consistency Mathematical programming |
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