犹豫模糊信息的比较方法及其在多属性决策中的应用

发布时间：2018-11-05 18:01

【摘要】：犹豫模糊集是模糊集的一种新的扩展,用以描述决策者给出数值评价信息而表现出犹豫的情形.犹豫模糊语言术语集是在犹豫模糊集的思想基础上对单个语言术语的推广,用以描述决策者给出语言评价信息而表现出犹豫的情形.对偶犹豫模糊集是犹豫模糊集的推广形式.犹豫模糊语言术语集和对偶犹豫模糊集能很好的描述决策者犹豫时的不确定决策信息,因此在决策理论与应用方面都取得了大量研究成果.本文研究了犹豫模糊语言术语集的比较方法和考虑决策者心理行为的犹豫模糊语言信息的多属性决策方法;研究了对偶犹豫模糊元素的比较方法和属性之间具有优先级别关系的对偶犹豫模糊信息的多属性决策方法.文章结构安排如下:第一章,主要介绍基于犹豫模糊语言术语集的多属性决策方法的研究背景和发展现状,基于对偶犹豫模糊集的多属性决策方法的研究背景和发展现状,以及本文的主要研究成果.第二章,研究犹豫模糊语言术语集的比较方法和基于犹豫模糊语言信息的多属性决策方法.提出一个新的得分函数和一种比较方法,通过与现有方法进行比较,说明了所提方法的有效性和合理性.在此基础上对传统的交互式多属性决策方法进行了推广,用以解决犹豫模糊语言信息下的多属性决策问题.最后用一个选择最优的通讯服务提供商的实例说明了提出的决策方法的有效性和实用性.第三章,研究对偶犹豫模糊元素的比较方法及其在属性间有优先级别关系的对偶犹豫模糊信息多属性决策问题中的应用.首先,提出了对偶犹豫模糊元素的一个修正的得分函数和一种比较方法,通过与现有的对偶犹豫模糊元素的得分函数和比较方法进行比较,说明了其有效性和合理性.其次,结合提出的对偶犹豫模糊元素的修正的得分函数和推广的dice相似测度,提出了属性之间有优先级别关系的对偶犹豫模糊信息多属性决策方法.最后,用实例说明了该决策方法的有效性和实用性.
[Abstract]:The hesitating fuzzy set is a new extension of the fuzzy set, which is used to describe the situation in which the decision maker gives the numerical evaluation information and shows hesitation. On the basis of the idea of hesitant fuzzy set, the set of hesitant fuzzy terms is a generalization of a single language term, which is used to describe the situation in which the decision maker gives the linguistic evaluation information and shows hesitancy. Dual hesitating fuzzy set is a generalization of hesitant fuzzy set. The terms set of hesitating fuzzy language and dual hesitation fuzzy set can describe the uncertain decision information when the decision maker hesitates well, so a lot of research results have been obtained in the field of decision theory and application. This paper studies the comparison method of hesitant fuzzy language terminology set and the multi-attribute decision making method which takes into account the psychological behavior of decision makers. The comparison method of dual hesitation fuzzy elements and the multi-attribute decision making method of dual hesitation fuzzy information with priority relation between attributes are studied. The structure of the paper is arranged as follows: in Chapter 1, the research background and development status of multi-attribute decision making method based on hesitating fuzzy language terminology set and the research background and development status of multi-attribute decision making method based on dual hesitation fuzzy set are introduced. And the main research results of this paper. In the second chapter, the comparison method of hesitant fuzzy language terminology set and the multiple attribute decision making method based on hesitant fuzzy language information are studied. A new score function and a comparison method are proposed, and the validity and rationality of the proposed method are illustrated by comparing it with the existing methods. On this basis, the traditional interactive multi-attribute decision making method is extended to solve the multi-attribute decision making problem with hesitant fuzzy language information. Finally, an example of selecting the optimal communication service provider is given to illustrate the effectiveness and practicability of the proposed decision making method. In chapter 3, we study the comparison method of dual hesitation fuzzy elements and its application in the dual hesitation fuzzy information multi-attribute decision making problem. First of all, a modified score function and a comparison method for dual hesitation fuzzy elements are proposed. The validity and rationality of these two methods are illustrated by comparing them with the existing ones. Secondly, combined with the modified score function of dual hesitation fuzzy elements and the extended dice similarity measure, a dual hesitation fuzzy information multi-attribute decision making method with precedence level relationship between attributes is proposed. Finally, an example is given to illustrate the effectiveness and practicability of the method.
【学位授予单位】：曲阜师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：O159;O225

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