基于一致性的不确定决策问题研究

发布时间：2018-06-30 07:00

本文选题：语言 + 犹豫模糊语言　；参考：《沈阳工业大学》2017年硕士论文

【摘要】：在决策问题中,决策者通常采用一些标准对决策方案集进行两两比较并将比较结果构造成偏好关系。同时,偏好关系的一致性会对决策方案最终排序的合理性产生直接影响,缺少一致性则会得出不符合逻辑的结果。因此,决策过程中检验偏好关系的一致性非常必要。本文主要研究模糊偏好关系、直觉模糊偏好关系、犹豫模糊偏好关系、双犹豫模糊偏好关系、语言偏好关系以及犹豫模糊语言偏好关系的乘性一致性,以及基于可接受一致性的偏好关系的决策方法。首先,介绍了决策问题、不确定信息的定义和不确定偏好关系一致性研究的背景、现状以及意义。其次,基于双犹豫模糊集的概念,提出双犹豫模糊偏好关系的概念。随后,针对直觉偏好关系的一致性测量,提出标准化的直觉模糊偏好关系概念并给出直觉模糊偏好关系乘性一致性测量方法。在详细分析不同的偏好关系的特点后本文提出分割方法,该方法可将双犹豫模糊偏好关系转化为直觉模糊偏好关系同时也可将犹豫模糊语言偏好关系转化为模糊偏好关系。针对互补模糊信息下的决策问题,为简化互补模糊信息的一致性测量过程,介绍了导出矩阵,该矩阵将互补偏好关系转化为互反偏好关系。针对提出的一致性测量方法,均通过具体算例给出方案排序。最后,归纳总结全文,指出当前的工作重点以及以后工作的研究方向。
[Abstract]:In the decision making problem, the decision makers usually use some criteria to make a pairwise comparison of the decision plan sets and construct a preference relation. At the same time, the consistency of preference relationship will have a direct impact on the rationality of the final ranking of decision plans, and the lack of consistency will result in illogical results. Therefore, it is necessary to test the consistency of preference relationship in the process of decision-making. This paper mainly studies the multiplicative consistency of fuzzy preference relation, intuitionistic fuzzy preference relationship, hesitant fuzzy preference relationship, double hesitant fuzzy preference relationship, language preference relationship and hesitant fuzzy linguistic preference relationship. And the decision method based on acceptable consistency preference relationship. Firstly, the background, current situation and significance of the research on the definition of uncertain information and the consistency of uncertain preference relations are introduced. Secondly, based on the concept of double hesitation fuzzy set, the concept of double hesitation fuzzy preference relation is proposed. Then, aiming at the consistency measurement of intuitionistic preference relationship, a standardized concept of intuitionistic fuzzy preference relation is proposed and the multiplicative consistency measurement method of intuitionistic fuzzy preference relation is given. After analyzing the characteristics of different preference relationships in detail, this paper proposes a segmentation method, which can transform the double hesitant fuzzy preference relationship into the intuitionistic fuzzy preference relationship, and also transform the hesitant fuzzy language preference relationship into the fuzzy preference relationship. In order to simplify the consistency measurement process of complementary fuzzy information, the derived matrix is introduced, which transforms the complementary preference relationship into reciprocal preference relation. According to the proposed consistency measurement methods, the order of schemes is given through concrete examples. At last, it summarizes the whole paper, and points out the focus of the current work and the research direction in the future.
【学位授予单位】：沈阳工业大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O225

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