模糊决策蕴涵理论及其在加权二分网络数据分析中的应用

项目名称： 模糊决策蕴涵理论及其在加权二分网络数据分析中的应用

项目编号： No.61303107

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 自动化技术、计算机技术

项目作者： 翟岩慧

作者单位： 山西大学

项目金额： 23万元

中文摘要： 本课题拟在基于完备剩余格的模糊概念格框架下,深入研究模糊决策蕴涵的语义和语构特征及其与模糊概念格的关系;研究模糊决策蕴涵集的完备性和无冗余性;研究完备的无冗余的模糊决策蕴涵基及其生成算法;研究属性约简和格约简的并行降维方法.以加权二分网络数据为主要应用对象,为其提供基于模糊决策蕴涵的知识推理和智能决策,开发一个可对加权二分网络数据进行分析的实验系统.本项目研究成果将丰富形式概念分析理论,深化对模糊决策蕴涵的研究,进一步拓展形式概念分析的应用,对数据挖掘和知识发现的研究具有重要的理论意义和应用价值.

中文关键词： 形式概念分析；决策蕴涵；决策蕴涵规范基；概念格；

英文摘要： This project, concerning the framework of complete residuated lattice based fuzzy concept lattice model, aims at studying fuzzy decision implication and its applications in analyzing weighted bipartite network data. Specifically, this study involves the following components: (1) Examine the semantical and synatical aspects of fuzzy attribute implication, and its relationship with fuzzy concept lattice; (2) Propose a fuzzy decision implication basis as a generalization of the classic natural basis by considering completeness and non-redundancy of sets of fuzzy decision implications, and design an effective algorithm for generating this basis; (3) Perform simutaneously attribute reduction and lattice reduction on fuzzy decision context; (4) Provide decision support and knowledge reasoning support for weighted bipartite network analysis; (5) Design and implement a fuzzy decision implication based experiential system for analyzing weighted bipartite network data. The results obtained will not only extend formal concept analysis and develop fuzzy decision implication, but also be valuable in theory and application for the study of data mining and knowledge discovery.

英文关键词： formal concept analysis；decision implication；decision implication canonical basis；concept lattice；