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模糊图已被广泛地应用于系统的分析与建模.然而现有的结构不适合于分析元素集之间的有向模糊关系.文中讨论了一种新的模糊图论结构──模糊元图,它描述的是集合而非单个元素之间的有向关系,具有很强的图形化描述功能和形式化分析能力.文中着重分析了模糊元图的特性,尤其是其邻接矩阵的特性,这是模糊元图研究与应用的基础.模糊元图在系统建模和模糊规则管理方面有着广阔的应用前景.
Fuzzy graphs have been widely used in system analysis and modeling. However, the existing structure is not suitable for analyzing the directional fuzzy relationship between the set of elements. In this paper, we discuss a new fuzzy graph theory structure ── Fuzzy Meta-graph, which describes a set of directed relations between elements rather than a single, with a strong graphical description and formal analysis capabilities. In this paper, we mainly analyze the characteristics of fuzzy primitives, especially the characteristics of their adjacency matrices, which are the basis of the research and application of fuzzy primitives. Fuzzy metagraphs have broad application prospects in system modeling and fuzzy rule management.