基于直觉模糊信息的多属性排序问题的软集决策方法

发布时间：2018-09-01 17:17

【摘要】：针对属性信息具有模糊性的一类多属性方案排序问题,提出一种基于直觉模糊软集的决策方法。直觉模糊软集结合软集和直觉模糊集的优势,对对象近似描述时没有任何限制,并且能够更客观地表达事物的模糊性本质。首先定义直觉模糊软集的综合精确度、综合犹豫度和综合得分值,以及直觉模糊软集水平集的选择值和接受水平。在此基础上,提出关于多属性方案排序的选择值准则、精确度准则、犹豫度准则以及得分值准则。然后,提出一种组合使用各排序准则的多属性方案排序方法。最后,通过数值算例及讨论证实该方法的可行性和有效性。这种方法充分考虑决策者的直觉信息及主观偏好,能够有效完成多属性方案的优选和排序决策。
[Abstract]:A decision method based on intuitionistic fuzzy soft sets is proposed for a class of multi-attribute scheme scheduling problems with fuzzy attribute information. Intuitionistic fuzzy soft sets combine the advantages of soft sets and intuitionistic fuzzy sets without any restrictions on the approximate description of objects and can more objectively express the fuzziness nature of things. Firstly, we define the comprehensive accuracy, the comprehensive hesitancy and the comprehensive score of intuitionistic fuzzy soft sets, as well as the selection value and acceptance level of intuitionistic fuzzy soft sets. On this basis, the selection value criterion, accuracy criterion, hesitancy criterion and score criterion for ranking of multi-attribute schemes are proposed. Then, a multi-attribute scheme sorting method combining each sort criterion is proposed. Finally, the feasibility and effectiveness of the method are verified by numerical examples and discussions. This method takes full account of the intuitive information and subjective preferences of decision makers and can effectively complete the optimal selection and ranking decision of multi-attribute schemes.
【作者单位】：上海工程技术大学;同济大学经济与管理学院;西安电子科技大学经济与管理学院;
【基金】：国家自然科学基金资助项目“基于局内决策分析的多论域粗糙集理论及其应用研究”(71161016);国家自然科学基金资助项目“结合粗糙集与群决策的不确定性决策方法及其在应急管理中的应用研究”(7157109)
【分类号】：O159;O223

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