基于直觉模糊粗糙集模型的多属性决策方法

发布时间：2018-03-19 14:07

本文选题：多属性决策　切入点：直觉模糊粗糙集　出处：《西南交通大学》2017年硕士论文　论文类型：学位论文

【摘要】：模糊决策是决策的一个重要组成部分,随着社会发展以及信息多元化,数据模糊不确定化,使得模糊决策已成为研究的主流。在医疗诊断、人工智能、信息处理等领域中得到广泛的应用。本文研究的是基于直觉模糊粗糙集模型的多属性决策,提出了两种直觉模糊粗糙集模型下的多属性决策方法。一是在原有基于相似度的直觉模糊粗糙集的多属性决策方法上进行改进,把原有基于相似关系下的直觉模糊粗糙集定义中的犹豫度细化,提出了与上近似隶属度、上近似非隶属度对应的上近似犹豫度;以及与下近似隶属度、下近似非隶属度对应的下近似犹豫度,把考虑范围扩大。在计算此关系下的两直觉模糊粗糙集的相似度就更加准确有效;二是基于等价关系下的直觉模糊粗糙集模型的多属性决策,在等价关系下,此模型具有一个性质:此关系下的直觉模糊粗糙集与直觉模糊集等价。因而,此关系下的直觉模糊粗糙集多属性决策就转化成直觉模糊集多属性决策,即用直觉模糊集多属性决策方法来解决此关系下的直觉模糊粗糙集多属性决策问题。本文基于提出的决策方法,分别给出两个实例来验证。在第一个实例中,分别用原有的方法和改进后的方法进行解答,都得出了最优方案,对决策过程进行了对比总结,得出改进后的方法的优点。在第二个实例中,用基于等价关系下的直觉模糊粗糙集模型的多属性决策方法来解决此问题,通过计算得出了最佳方案,验证了此方法的可行性。
[Abstract]:Fuzzy decision making is an important part of decision making. With the development of society and the diversification of information, fuzzy decision making has become the mainstream of research. Information processing and other fields have been widely used in this paper is based on intuitionistic fuzzy rough set model of multi-attribute decision-making, Two methods of multi-attribute decision making based on intuitionistic fuzzy rough set model are proposed. The hesitancy degree in the definition of intuitionistic fuzzy rough set based on similarity relation is refined, and the upper approximate membership degree and upper approximate non-membership degree corresponding to upper approximate membership degree and lower approximate membership degree are proposed. The lower approximate indecision degree corresponding to the lower approximate non-membership degree expands the scope of consideration and makes the similarity degree of the two intuitionistic fuzzy rough sets more accurate and effective. The second is the multi-attribute decision of intuitionistic fuzzy rough set model based on equivalence relation. Under the equivalence relation, the model has one property: the intuitionistic fuzzy rough set is equivalent to the intuitionistic fuzzy rough set under this relation. In this relation, intuitionistic fuzzy rough set multi-attribute decision making is transformed into intuitionistic fuzzy set multi-attribute decision making. That is to solve the problem of intuitionistic fuzzy rough set multi-attribute decision making by using intuitionistic fuzzy set multi-attribute decision making method. Based on the proposed decision method, two examples are given to verify the problem. By using the original method and the improved method respectively, the optimal scheme is obtained, the decision-making process is compared and summarized, and the advantages of the improved method are obtained. In the second example, This problem is solved by using the intuitionistic fuzzy rough set model based on the equivalence relation. The optimal scheme is obtained and the feasibility of the method is verified.
【学位授予单位】：西南交通大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O159;O225

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