高阶模糊区域的交叉拓扑关系形式化研究  

Formalization Research of Topological Relation Between High Order Fuzzy Regions

作　　者：郭继发[1] 刘玉洁[1] 毛健[1] 崔铁军[1] 

机构地区：[1]天津师范大学城市与环境科学学院,天津300387

出　　处：《武汉大学学报（信息科学版）》2014年第2期196-200,共5页Geomatics and Information Science of Wuhan University

基　　金：国家自然科学基金资助项目(41101352);天津市地理空间信息技术工程中心开放研究基金资助项目(52XS1221)~~

摘　　要：基于区间Ⅱ-型模糊区域模型,讨论了区间Ⅱ-型模糊区域的结构,通过对传统的n-交模型进行扩展,提出了区间Ⅱ-型模糊区域拓扑关系的n-交矩阵和各原子的计算方法,并提出了拓扑关系的形式化分析方法。通过计算区间Ⅱ-型模糊拓扑关系矩阵与8种基本拓扑关系矩阵的相似度并排序,确定其首要拓扑关系,结合拓扑关系距离确定其可能存在的次要拓扑关系。The structure of interval type-II fuzzy regions was analyzed based on the interval type-II fuzzy region model. The n- intersection matrix and the calculation for each cell of a topological relation in an interval type-II fuzzy region were developed by extending the classical n-intersection model for crisp regions. Then, the formalization analysis method of topological relation of interval type-II fuzzy region was proposed. The similarity between topological relation matrix of interval type-II fuzzy re- gion and eight basic topological relations was calculated and sorted, then the basic relation correspond- ing with the maximum similarity degree becomes the primary topological relation, therefore possible relations can be analyzed through combining the topological relation distance. The theory and method proposed by this paper was validated by a test case.

关 键 词：拓扑关系 区间Ⅱ一型模糊集 相似性 高阶模糊性 形式化分析中图法 

分 类 号：P208[天文地球—地图制图学与地理信息工程]