ZHANG Li-ping1, LI Song1, HAO Xiao-hong2, HAO Zhong-xiao1, 3
1. College of Computer Science and Technology, Harbin University of Science and Technology, Harbin 150080, China;
2. Department of Computer, Harbin University of Science and Technology, Harbin 150080, China;
3. College of Computer Science and Technology, Harbin Institute of Technology,Harbin 150001,China
The mathematic model representation of Jrv rough Vague region relation was given based on Vague set and rough set in order to deal with the important Jrv rough Vague region relation. The dynamic relevance adjacency graph of rough Vague region relation was determined through analyzing the complex rough-transform situation of the rough Vague region relation. The possible implication expression table was proposed based on the upper approximation and lower approximation of the rough Vague region. The possible implication expression of the Jrv rough Vague region relation was given. The analysis of an instance was discussed. Results show that the model can greatly enhance the ability of the spatial database for the complex uncertain region relation.
[1] CLEMENTINI E, FELICE P D. Approximate topological relations [J]. International Journal of Approximate Reasoning, 1997, 16(2): 173-204.
[2] COHN A G, GOTTS N M. The ‘eggyolk representation of regions with indeterminate boundaries [C] ∥Proceedings of GISDATA Specialist Meeting on Geographical Objects with Undetermined Boundaries. London: Taylor & Francis, 1996: 171-187.
[3] ARTA D, ROLF A B, ALFRED S. A proposal for spatial relations between vague objects [C]∥Proceedings of the International Symposium on Spatial Data Quality. Hong Kong: The Hong Kong Polytechnic University, 2005: 50-59.
[4] SCHOCKAERT S, CORNELIS C, COCK M D, et al. Fuzzy spatial relations between vague regions [C] ∥Proceedings of 3rd IEEE Conference on Intelligent Systems. Berlin: Springer, 2006: 221-226.
[5] TANG X M, KAINZ W. Fuzzy topological relations between fuzzy spatial objects [J]. Lecture Notes in Computer Science, 2006, 42(23): 324-333.
[6] SCHOCKAERT S, COCK M D, CORNELIS C. Fuzzy region connection calculus: representing Vague topological information [J]. International Journal of Approximate Reasoning, 2008, 48(1): 314-331.
[7] BEAUBOUEF T, PETRY F, LADNER R. Spatial data methods and vague regions: a rough set approach [J]. Applied Soft Computing, 2007, 7(1): 425-440.
[8] 李松,郝忠孝. 基于Vague集的含洞不规则Vague区域关系[J].计算机研究与发展,2009, 46(5): 823-831.
LI Song, HAO Zhongxiao. Region relations of the irregular vague regions with holes based on Vague sets [J]. Journal of Computer Research and Development, 2009, 46(5): 823-831.
[9] 郝忠孝,李松. 基于Vague集的动态Vague区域关系[J].软件学报,2009, 20(4): 878-889.
HAO Zhongxiao, LI Song. Dynamic Vague region relations based on Vague sets [J]. Journal of Software, 2009, 20(4): 878-889.
[10] 李松,郝忠孝.含核Vague区域和Vague洞区域关系及蕴涵定理[J].计算机科学, 2009, 36(12): 171-174.
LI Song, HAO Zhongxiao. Region relations of the Vague region with Kernel and the Vaguehole region and the implication theorem [J]. Computer Science, 2009, 36(12): 171-174.
[11] 杜世宏,王桥,李顺,等.模糊对象粗糙表达及其空间关系研究[J].遥感学报,2004,8(1):1-8.
DU Shihong, WANG Qiao, LI Shun, et al. The research of rough expression of fuzzy objects and their spatial relations [J]. Journal of Remote Sensing, 2004, 8(1): 1-8.
[12] 李松,郝忠孝. 多范畴的Vague区域关系表示与分析[J]. 高技术通讯, 2010, 20(3): 253-258.
LI Song, HAO Zhongxiao. Representation and analyse of multicategory relations of Vague regions [J]. Chinese High Technology Letters, 2010, 20(3): 253-258.
[13] CHEN S M. Similarity measures between vague sets and between elements [J]. IEEE Transactions on Systems, Man and Cybemetics, 1997, 27(1):153-157.
[14] PAWLAK Z. Rough classification [J]. International Journal of HumanComputer Studies, 1999, 51(2): 369-383.
[15] 夏佳荣,王爱芹. 粗糙集理论中近似空间的精细及近似精度[J].浙江大学学报:工学版,2007, 34(3): 245-247.
XIA Jiarong, WANG Aiqin. Fineness and coarseness of an approximation space in the rough set theory [J]. Journal of Zhejiang University: Engineering Science, 2007, 34(3): 245-247.