Fuzzy topological relations between fuzzy spatial objects

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 4223 LNAI, Issue , 2006, Pages 324-333

  Tang, Xinming ^a   Fang, Yu ^b   Kainz, Wolfgang ^c  

^a CHINESE ACADEMY OF SURVEYING AND MAPPING   (China)

^b PEKING UNIVERSITY   (China)

^c UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

FUZZY SETS; GEOGRAPHIC INFORMATION SYSTEMS; MATHEMATICAL MODELS; OBJECT RECOGNITION;

COMPLEX STRUCTURES; FUZZY CELLS; FUZZY TOPOLOGY; SPATIAL OBJECTS;

TOPOLOGY;

EID: 33750538190     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11881599_37     Document Type: Conference Paper

References (20)

1. Burrough, P.A.: Natural Objects with Indeterminate Boundaries. In: P. Burrough and A.U. Frank (eds), Geographic Objects with Indeterminate Boundaries, Taylor & Francis, London (1996) 1-8
2. Chang, C.L.: Fuzzy Topological Space. Journal of Mathematical Analysis and Applications 24(1968) 182-190
3. Cheng, T., Molenaar, M., Bouloucos, T.: Identification of Fuzzy Objects from Field Objects. Spatial Information Theory, A theoretical Basis for GIS, Lecture Notes in Computer Sciences 1327, COSIT'97, Springer-Verlag, Germany (1997) 241-259
4. Cheng, T., Molenaar, M., Lin, H.: Formalizing Fuzzy Objects from Uncertain Classification Results. International Journal of Geographical Information Science 15(1) (2001) 27-42
5. Clementini, E., Di Felice, P.: An Algebraic Model for Spatial Objects with Indeterminate Boundaries. In: P. Burrough and A.U. Frank (eds), Geographic Objects with Indeterminate Boundaries, Taylor & Francis, London (1996) 155-169
6. Cohn, A.G., Gotts, N.M.: The vEgg-Yolk' Representation of Regions with Indeterminate Boundaries. In: P. Burrough and A.U. Frank (eds), Geographic Objects with Indeterminate Boundaries, Taylor & Francis, London (1996) 171-187
7. Egenhofer, M. J., Franzosa, R.: Point-set Topological Spatial Relations. International Journal of Geographic Information Systems 5(2) (1991) 161-174
8. Egenhofer, M.J., Sharma, J.: Assessing the Consistency of Complete and Incomplete Topological Information. Geographic Systems 1(1993) 47-68
9. Fisher, P.: Boolean and Fuzzy Region. In: P. Burrough and A.U. Frank (eds), Geographic Objects with Indeterminate Boundaries, Taylor & Francis, London (1996) 87-94
10. Hatcher, A.: Algebraic Topology. Cambridge University Press, London (2002)
11. Liu, Y.M., Luo, M.K.: Fuzzy Topology. World Scientific, Singapore (1997)
12. Munkres, J.R.: Elements of Algebraic Topology. Addison-Wesley Publishing Company, California (1984)
13. Schneider, M.: Uncertainty Management for Spatial Data in Databases: Fuzzy Spatial Data Types. The 6th Int. Symp. on Advances in Spatial Databases (SSD), LNCS 1651, Springer Verlag (1999) 330-351
14. Tang, X.M., Kainz, W.: Analysis of Topological Relations between Fuzzy Regions in General Fuzzy Topological Space. In the Proceedings of Canadian Geomatics Conference, Ottawa, Canada (2002) 114-129
15. Tang, X.M., Kainz, W., Fang, Y.: Reasoning about Changes of Land Cover Objects with Fuzzy Settings. International Journal of Remote Sensing 26(14) (2005) 3025-3046
16. Tang, X.M., Fang, Y., Kainz, W.: Topological Relations between Fuzzy Regions in a Special Fuzzy Topological Space. Geography and Geo-information Science (in Chinese) (2003) 19(2): 1-10
17. Tang, X.M., Fang, Y., Kainz, W.: Topological Matrices for Topological Relations between Fuzzy Regions. In the Proceedings of the 4th International Symposium on Multispectral Image Processing and Pattern Recognition (SPIE), Wuhan, China (2005)
18. Tang, X.M., Kainz, W., Fang, Y.: Modeling of Fuzzy Spatial Objects and their Topological Relations. In: Proceedings of the 2nd Symposium on Spatial Data Quality (SDQ) W.Z. Shi, M.F. Goodchild and P. Fisher (eds), Hong Kong (2003) 34-50
19. Warren, H.R.: Boundary of a Fuzzy Set. Indiana University Mathematics Journal 26 (2)(1977) 191-197
20. Wong, C.K.: Fuzzy Points and Local Properties of Fuzzy Topology. Journal of Mathematical Analysis and Applications 46 (1974) 316-328