【作者】 李海军；

【导师】 哈明虎； 田大增；

【作者基本信息】 河北大学 ， 应用数学， 2006， 硕士

【摘要】 模糊推理是模糊理论的重要组成部分，也在模糊专家系统中起着重要的作用。在诸多的模糊推理方法之中，基于相似度的加权模糊推理是一种既简单又灵活的方法。本文讨论了已有的两种相似度的定义及其推理方法的局限性，提出了相应改进的相似度及其加权模糊推理方法。针对现有的相似度定义和加权模糊推理方法的不足，本文又提出三种新的相似度的定义，设计了与它们相对应的加权模糊推理方法，并将提出的方法与已有的几种方法进行比较，通过性质分析得到新方法的诸多优越性，从而丰富了模糊推理的理论，扩大了其应用范围。更多还原

【Abstract】 Fuzzy reasoning is an important part of fuzzy theory, and plays major role in fuzzy expert systems. In most fuzzy reasoning methods, the similarity-based weighted fuzzy reasoning is a kind of simple and flexible method. In this paper toward the limitation of two existing definitions of the similarity measure and the corresponding fuzzy reasoning methods, we propose two improved similarity measures and the enhanced weighted fuzzy reasoning methods. With respect to the limitation of the former similarity measures and reasoning methods, this paper proposes three new definitions of the similarity measure, constructs the corresponding weighted fuzzy reasoning methods and compares the proposed methods with several existing methods. We obtain some superiority by analyzing the properties of these methods, thus the new methods enrich the fuzzy reasoning theory and extend the field of its applications.更多还原