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计算机工程 ›› 2013, Vol. 39 ›› Issue (6): 251-254,260. doi: 10.3969/j.issn.1000-3428.2013.06.056

• 人工智能及识别技术 • 上一篇    下一篇

基于Flou集的模糊区域拓扑关系度量

陈黎明,郭嗣琮,毕玲玲   

  1. (辽宁工程技术大学理学院,辽宁 阜新 123000)
  • 收稿日期:2012-06-11 出版日期:2013-06-15 发布日期:2013-06-14
  • 作者简介:陈黎明(1986-),男,硕士研究生,主研方向:模糊控制,模糊信息处理,非经典集合理论;郭嗣琮,教授、博士生导师;毕玲玲,硕士研究生
  • 基金资助:
    教育部高校博士学科点专项科研基金资助项目(20102121110002)

Topological Relation Metric of Fuzzy Regions Based on Flou Set

CHEN Li-ming, GUO Si-cong, BI Ling-ling   

  1. (College of Science, Liaoning Technical University, Fuxin 123000, China)
  • Received:2012-06-11 Online:2013-06-15 Published:2013-06-14

摘要: 针对模糊区域的表示和拓扑关系的度量问题,利用Flou集描述模糊区域,不仅符合人们用分明集合描述模糊区域范围的认知习惯,而且适用于对高阶模糊的情形进行描述。为此,在基于Flou集的模糊区域表示模型的基础上,给出2个模糊区域间拓扑关系的度量描述,刻画2个模糊区域属于5种基本拓扑关系的程度,该模糊区域可应用于空间信息查询和空间推理等领域。

关键词: 模糊区域, Flou集, 拓扑关系, 截集, 空间推理, 地理信息系统

Abstract: A method which describes the fuzzy regions using flou sets is proposed aiming at measuring the topological relations between fuzzy regions. It not only accords with the cognitive principle of people, but also is suitable for high-order fuzzy case. Based on the representation model of fuzzy regions, the metric description of topological relations between fuzzy regions is proposed. It is valuable in the fields such as spatial information query and spatial reasoning.

Key words: fuzzy region, Flou set, topological relation, cut set, spatial reasoning, Geographic Information System(GIS)

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