期刊
INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH
卷 26, 期 5, 页码 2032-2052出版社
WILEY
DOI: 10.1111/itor.12380
关键词
stochastic multicriteria decision-making; extended gray numbers; stochastic multicriteria acceptability analysis; ELECTRE III
资金
- National Natural Science Foundation of China [71571193, 71271218]
Actual stochastic multicriteria decision-making (MCDM) problems usually exhibit two forms of information loss: criteria value uncertainty and criteria weight uncertainty. In this paper, extended gray numbers (EGNs), integrated with discrete gray numbers and interval gray numbers are used to express the uncertainty of stochastic MCDM problems. Stochastic multicriteria acceptability analysis (SMAA) and ELECTRE III are combined to solve stochastic MCDM problems with uncertain weight information. First, the outranking relations on interval gray numbers and EGNs are defined. Then, a SMAA-ELECTRE model for dealing with gray stochastic MCDM problems is constructed. Finally, an illustrative example and two comparative analyses are provided to verify the feasibility and usability of the proposed approach. The proposed approach provides recommendations for alternatives based on uncertain preference information. It therefore contributes a new way to solve stochastic MCDM problems with uncertain, imprecise, and/or missing preference information.
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