Multiple Criteria Decision-Making Based on Similarity Degree Between Partial Orders
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摘要: 针对决策者只能提供决策方案的序数偏好信息的多准则决策问题,提出了基于偏序之间相似度的多准则决策方法.该方法运用模糊相似关系确定相似度,通过计算控制指标和被控指标,分别得出方案集的两个预序排列,然后将这两个全预序排列合并成方案集的最后排列.该排列具有更符合现实决策行为的偏序结构.举例说明了该方法的可行性.Abstract: A method of multiple criteria decision-making based on similarity degree between partial orders was proposed to solve the problem,in which decision makers provide only with ordinal information about the alternative shemes.The similarity degree is defined by utilizing fuzzy similarity relation.The two complete preorders of the alternatives are worked outt by calculating the dominated index and the dominating index of each alternative,respectively.The two complete preorders are then combined into a final partial order of the alternatives.Feasibility and effectiveness of the proposed approach were illustrated with a numerical example.
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