基于对偶犹豫模糊集的多属性决策及其应用研究

发布时间：2018-06-27 05:15

本文选题：对偶犹豫模糊集 + 对偶犹豫模糊概率　；参考：《南昌大学》2017年硕士论文

【摘要】：作为模糊集的扩展,对偶犹豫模糊集允许其隶属函数与非隶属函数为0与1之间的一些可能值的集合,以此来满足不同专家对相同方案的不同意见.近年来,对偶犹豫模糊集受到越来越多学者的关注,一些学者获得了一些比较好的结果.这些成果在诸如聚类分析,近似推理,图像处理,医疗诊断,决策和信息集成等方面都有着十分重要的应用.因此研究对偶犹豫模糊集的多属性决策及应用具有十分重要的理论意义和实践意义.本文主要研究对象是对偶犹豫模糊集,主要研究内容和创新性工作包括:第一章引论部分.本部分主要介绍了对偶犹豫模糊集理论与应用的历史背景、现状、对偶犹豫模糊集的有关概念.第二章凸对偶犹豫模糊集的集成.本部分首先在对偶犹豫模糊集的基础上引入凸的概念,并研究其相关性质,然后,通过集成函数对凸对偶犹豫模糊元和凸对偶犹豫模糊集进行集成来研究对偶犹豫模糊集的保凸性.第三章对偶犹豫模糊概率.本部分基于直觉模糊数的概念,提出对偶犹豫模糊数,并在此基础上介绍了对偶犹豫模糊概率,并给出对偶犹豫模糊概率的相关性质以及在色盲问题上的应用.第四章对偶扩展犹豫模糊集.本部分基于对偶犹豫模糊集提出对偶扩展犹豫模糊集的概念,并给出了对偶扩展犹豫模糊元的基本运算和性质.最后,本章给出了对偶扩展犹豫模糊集的相关系数,并运用于投资问题.第五章高阶对偶犹豫模糊集的距离测度.本部分分析了对偶犹豫模糊集的已有相关距离测度的缺点,并提出新的测度;在此基础上,提出高阶对偶犹豫模糊集,并给出高阶对偶犹豫模糊距离测度,并运用于信息系统方案评估问题.第六章结论和展望.本部分总结了文章的主要工作和创新点,并讨论了今后研究工作展望.
[Abstract]:As the extension of the fuzzy set, the dual hesitant fuzzy set allows its membership function and the non subordinate function to be a set of possible values between 0 and 1, in order to meet the different opinions of the different experts on the same scheme. In recent years, more and more scholars have paid more attention to the dual hesitant fuzzy set, and some scholars have obtained some better results. Some achievements have very important applications in such aspects as clustering analysis, approximate reasoning, image processing, medical diagnosis, decision making and information integration. Therefore, it is of great theoretical and practical significance to study the multi attribute decision making and application of dual hesitant fuzzy sets. The content and innovative work include: the introduction of the first chapter. This part mainly introduces the historical background of the dual hesitant fuzzy set theory and application, the present situation, the related concepts of the dual hesitant fuzzy set. The second chapter is the integration of the convex dual hesitant fuzzy sets. And then, the convexity of dual hesitant fuzzy sets is integrated through integrated functions to study the convexity of dual hesitant fuzzy sets. The third chapter is dual hesitant fuzzy probability. Based on the concept of intuitionistic fuzzy numbers, the dual hesitant fuzzy number is proposed, and the dual hesitation fuzzy number is introduced on this basis. The correlation property of dual hesitant fuzzy probability and its application on color blindness are given. The fourth chapter is a dual extended hesitant fuzzy set. Based on the dual hesitant fuzzy set, the concept of dual extended hesitant fuzzy sets is proposed, and the basic operations and properties of the dual extended hesitant fuzzy element are given. Finally, the duality is given in this chapter. We extend the correlation coefficient of the hesitant fuzzy set and apply it to the investment problem. The fifth chapter is the distance measure of the high order dual hesitant fuzzy set. This part analyzes the shortcomings of the relative distance measure of the dual hesitant fuzzy set and proposes a new measure. On this basis, the high order duality hesitant fuzzy set is proposed and the high order dual hesitant fuzzy distance is given. In the sixth chapter, the main work and innovation of the article are summarized, and the future research work is also discussed.
【学位授予单位】：南昌大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O159;O225

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