引用本文: 郭继发, 刘玉洁, 毛健, 崔铁军. 高阶模糊区域的交叉拓扑关系形式化研究[J]. 武汉大学学报 ( 信息科学版), 2014, 39(2): 196-200. GUO Jifa, LIU Yujie, MAO Jian, CUI Tiejun. Formalization Research of Topological Relation BetweenHigh Order Fuzzy Regions[J]. Geomatics and Information Science of Wuhan University, 2014, 39(2): 196-200.
 Citation: GUO Jifa, LIU Yujie, MAO Jian, CUI Tiejun. Formalization Research of Topological Relation BetweenHigh Order Fuzzy Regions[J]. Geomatics and Information Science of Wuhan University, 2014, 39(2): 196-200. ## Formalization Research of Topological Relation BetweenHigh Order Fuzzy Regions

• 摘要: 目的 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。

Abstract: Objective The structure of interval type-II fuzzy regions was analyzed based on the interval type-IIfuzzy region model.The n-intersection matrix and the calculation for each cell of a topological relationin an interval type-II fuzzy region were developed by extending the classical n-intersection model forcrisp regions.Then,the formalization analysis method of topological relation of interval type-II fuzzyregion 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 possiblerelations can be analyzed through combining the topological relation distance.The theory and methodproposed by this paper was validated by a test case. / 下载:  全尺寸图片 幻灯片
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