高阶模糊区域的交叉拓扑关系形式化研究

郭继发; 刘玉洁; 毛健; 崔铁军

doi:10.13203/j.whugis20120691

高阶模糊区域的交叉拓扑关系形式化研究

¹ 天津师范大学城市与环境科学学院,天津,300387

基金项目: 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)

详细信息

作者简介:
郭继发,博士,讲师,现主要从事地理空间数据库和模糊地理现象建模分析研究。

中图分类号: P208
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出版历程
- 收稿日期: 2013-05-03
- 修回日期: 2014-02-04
- 发布日期: 2014-02-04

Formalization Research of Topological Relation BetweenHigh Order Fuzzy Regions

¹College of City and Environmental Science,Tianjin Normal University,Tianjin 300387,China

Funds: The National Natural Science Foundation of China,No.41101352;the Open Research Fund Program of Tianjin En-gineering Center for Geographical Information Technology,No.52XS1221.

More Information

Author Bio:
GUO Jifa,PhD,specializes in modeling and analysis of fuzzy geographical information,spatio-temporal database,spatial da-ta uncertainty and quality.

摘要

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。
- 拓扑关系 /
- 区间Ⅱ－型模糊集 /
- 相似性 /
- 高阶模糊性 /
- 形式化分析
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.
- topological relation /
- interval type-II fuzzy set /
- similarity /
- high order vagueness /
- formationanalysis