期刊
INFORMATION SCIENCES
卷 292, 期 -, 页码 27-38出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2014.08.059
关键词
Linguistic decision-making; Unbalanced linguistic term set; Preference relation; Consistency; Mixed 0-1 linear programming
资金
- NSF of China [71171160]
- Sichuan University [skqx201308]
In certain real decision-making situations, decision makers often feel more comfortable providing their knowledge and preferences in linguistic terms. Unbalanced linguistic term sets may be used in decision problems with preference relations. However, the lack of consistency in decision-making with linguistic preference relations can lead to inconsistent conclusions. Based on the consistency measure of unbalanced linguistic preference relations, this paper proposes an optimization-based approach to improving the consistency level of unbalanced linguistic preference relations. This consistency-improving model preserves the utmost original knowledge and preferences in the process of improving consistency. Furthermore, it guarantees that the elements in the optimal adjusted unbalanced linguistic preference relation are all simple unbalanced linguistic terms. Finally, we propose a mixed 0-1 linear programming aimed to obtain the optimum solution to the proposed consistency improving model and to demonstrate its practicability. (C) 2014 Elsevier Inc. All rights reserved.
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