含核Vague区域和Vague洞区域关系及蕴涵定理  

Region Relations of the Vague Region with Kernel and the Vague-hole Region and the Implication Theorem

作　　者：李松[1] 郝忠孝[1,2] 

机构地区：[1]哈尔滨理工大学计算机科学与技术学院,哈尔滨150080 [2]哈尔滨工业大学计算机科学与技术学院,哈尔滨150001

出　　处：《计算机科学》2009年第12期171-175,共5页Computer Science

基　　金：国家自然科学基金(60673136);黑龙江省自然科学基金(F200702)资助

摘　　要：模糊区域的空间信息表示和区域关系处理在空间数据库、地理信息系统和人工智能等领域具有重要的意义。引入Vague集的概念和理论对含核Vague区域和Vague洞区域关系进行了系统的研究。基于Vague集给出了含核Vague区域、Vague洞区域和区域划分等概念;详细分析了处于不同平面中的含核Vague区域和Vague洞区域关系;给出了基于Vague集的区域关系交集模型和子区域关系间的蕴涵定理和算法;进一步给出了实例分析。研究成果可较好地处理含核Vague区域和Vague洞区域内的模糊点不确定的隶属信息和确定含核Vague区域与Vague洞区域的关系等问题。Representing spatial information of the Vague regions and handling the Vague region relations are of great significance in spatial database, geographical information systems and artificial intelligence etc. The region relations of the vague region with kernel and the Vague-hole region were discussed detailedly based on Vague sets. The conceptions of the Vague region with kernel, the Vague-hole region and the region partition were given based on the Vague sets. The region relations of the Vague region with kernel and the Vague-hole region in the different plane were discussed respec-tively. The implication theorem and the implication algorithm for the relations of the Vague sub-regions were also given. Furthermore, the analysis of an instance was also given. The production in this work can deal with the indeterminate membership information of the Vague points in the Vague regions with kernel and the Vague-hole regions, and the region relations of the vague region with kernel and the Vague-hole region can be determined well.

关 键 词：VAGUE集 含核Vague区域 Vague洞区域 Vague区域关系 

分 类 号：TP311[自动化与计算机技术—计算机软件与理论]