直觉模糊信息系统上概念格的构造与约简
发布时间：2019-05-11 14:32
【摘要】：概念格理论,亦称形式概念分析,由德国数学家Wille R.于1982年提出,是一种高效的处理数据分析和知识发现的数学工具.自上世纪九十年代以来,它在理论上不断完善,在应用上广泛扩展,已逐渐成为人工智能学科的重要研究对象.目前,概念格理论已被广泛应用于数据挖掘、知识获取、信息检索、机器学习、粒计算、软件工程等领域.最初的形式概念分析主要是针对经典的形式背景,但是在现实很多问题中,对象和属性的关系往往是模糊不确定的,于是经典概念格被推广到模糊概念格.由于直觉模糊关系更能客观细腻地刻画现实世界的模糊性,所以将经典的形式背景扩充到直觉模糊形式背景,研究直觉模糊形式背景下的概念格在实际决策中有着更为重要的意义.本文首先利用优势关系将直觉模糊信息系统转化成经典形式背景,并在该形式背景上定义了一对算子,构造了直觉模糊信息系统上的概念格,给出了直觉模糊信息系统上概念格的属性约简方法；其次基于直觉模糊形式背景,利用拟阵圈构造了直觉模糊T-概念格,并用可辨识矩阵对直觉模糊T-概念格进行属性约简；最后从协调直觉模糊决策形式背景出发,定义了协调直觉模糊决策形式背景,给出了协调直觉模糊决策形式背景的属性约简方法,并进行了规则提取.
[Abstract]:The concept lattice theory, also known as formal concept analysis, was analyzed by German mathematician Wille R. Proposed in 1982, it is an efficient mathematical tool for data analysis and knowledge discovery. Since the 1990s, it has been constantly improved in theory and widely expanded in application, and has gradually become an important research object of artificial intelligence. At present, concept lattice theory has been widely used in data mining, knowledge acquisition, information retrieval, machine learning, grain computing, software engineering and other fields. The initial formal concept analysis is mainly aimed at the classical formal background, but in many practical problems, the relationship between object and attribute is often fuzzy uncertain, so the classical concept lattice is extended to fuzzy concept lattice. Because the intuitionistic fuzzy relation can depict the fuzziness of the real world more objectively and meticulously, the classical formal background is extended to the intuitionistic fuzzy formal background. It is more important to study the concept lattice under the background of intuitionistic fuzzy form in practical decision-making. In this paper, the intuitionistic fuzzy information system is transformed into the classical formal background by using the dominance relation, and a pair of operators are defined on the formal background, and the concept lattice on the intuitionistic fuzzy information system is constructed. The attribute reduction method of concept lattice on intuitionistic fuzzy information system is given. Secondly, based on the intuitionistic fuzzy formal background, the intuitionistic fuzzy T-concept lattice is constructed by using the matrix circle, and the attribute reduction of the intuitionistic fuzzy T-concept lattice is carried out by using the identifiable matrix. Finally, based on the formal background of coordinated intuitionistic fuzzy decision, the formal background of coordinated intuitionistic fuzzy decision is defined, the attribute reduction method of coordinated intuitionistic fuzzy decision form background is given, and the rules are extracted.
【学位授予单位】：山西师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TP18;O159
本文编号：2474572
[Abstract]:The concept lattice theory, also known as formal concept analysis, was analyzed by German mathematician Wille R. Proposed in 1982, it is an efficient mathematical tool for data analysis and knowledge discovery. Since the 1990s, it has been constantly improved in theory and widely expanded in application, and has gradually become an important research object of artificial intelligence. At present, concept lattice theory has been widely used in data mining, knowledge acquisition, information retrieval, machine learning, grain computing, software engineering and other fields. The initial formal concept analysis is mainly aimed at the classical formal background, but in many practical problems, the relationship between object and attribute is often fuzzy uncertain, so the classical concept lattice is extended to fuzzy concept lattice. Because the intuitionistic fuzzy relation can depict the fuzziness of the real world more objectively and meticulously, the classical formal background is extended to the intuitionistic fuzzy formal background. It is more important to study the concept lattice under the background of intuitionistic fuzzy form in practical decision-making. In this paper, the intuitionistic fuzzy information system is transformed into the classical formal background by using the dominance relation, and a pair of operators are defined on the formal background, and the concept lattice on the intuitionistic fuzzy information system is constructed. The attribute reduction method of concept lattice on intuitionistic fuzzy information system is given. Secondly, based on the intuitionistic fuzzy formal background, the intuitionistic fuzzy T-concept lattice is constructed by using the matrix circle, and the attribute reduction of the intuitionistic fuzzy T-concept lattice is carried out by using the identifiable matrix. Finally, based on the formal background of coordinated intuitionistic fuzzy decision, the formal background of coordinated intuitionistic fuzzy decision is defined, the attribute reduction method of coordinated intuitionistic fuzzy decision form background is given, and the rules are extracted.
【学位授予单位】：山西师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TP18;O159
【参考文献】
相关期刊论文 前1条
1 仇国芳;陈劲;;概念格的规则约简与属性特征[J];浙江大学学报(理学版);2007年02期
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