Abstract
Many facets of spatial data representation inherently involve issues of accuracy and uncertainty. This problem is greatly magnified when considering the integration of spatial data from different sources, such as in a distributed or interoperable environment. The general concept, of schema merging Involves the resolution of incompatibilities as in a distributed environment. These may be either structural or semantic in nature. Structural incompatibilities involve those, for example, in which attributes for representing the same values arc tie-fined differently. Semantic incompatibilities, however, represent those cases in which similarly defined attributes have different meanings or values For example, an attribute of WIDTH for a road in one database may include the widih of associated accca lanes, while in anoiltei database it may be only the main drive able portion of the road. Such semantic issues are much more difficult to resolve, as they require a fleeper understanding oi ute data. We will survey tnc issues as diwussed above for spatial data in such environments and describe several approaches lor different aspects of the data using furry set techniques lo deal with the incompatibilities.
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References
E. Codd, “A Relational Model for Large Shared Data Banks, ” Communications of the ACM, Vol.13, pp.377–387, 1070.
B. Buckles and F. Petry, “A Fuzzy Model for Relational Databases,” Int. Jour. Fuzzy Sets and Systems, Vol. 7, pp. 213–226, 1982.
S. Shenoi and A. Melton, “Proximity Relations in Fuzzy Relational Databases,” Int. Jour. Fuzzy Sets and Systems, Vol. 31, pp. 287–296, 1989.
M. Anvari and G. Rose, “Fuzzy Relational Databases,” The Analysis of Fuzzy Information Vol. II, (ed. J. Bezdek), pp. 203–212, CRC Press, Boca Raton, FL, 1987.
M. Umano, “FREEDOM-O : A Fuzzy Database System,” Fuzzy Information and Decision Processes, (eds. M. Gupta and E. Sanchez), North-Holland, Amsterdam, pp. 339–347, 1982.
H. Prade and C. Testemale, “Generalizing Database Relational Algebra for the Treatment of Incomplete/Uncertain Information and Vague Queries,” Information Sciences, Vol. 34, pp. 115–143, 1984.
M. Zemankova and A. Kandel, “Implementing Imprecision in Information Systems,” Information Sciences, Vol. 37, pp. 107–141, 1985.
E. Rundensteiner, L. Hawkes, and W. Bandler, “On Nearness Measures in Fuzzy Relational Data Models,” Int. Jour. Approximate Reasoning, Vol. 3, pp. 267- 298, 1989.
J. Medina, O. Pons, and M. Vila, “Gefred: A Generalized Model to Implement Fuzzy Relational Databases,” Information Sciences, Vol. 47, pp. 234–254, 1994.
R. de Caluwe, ed., Fuzzy and Uncertain Object-Oriented Databases, World Scientific, Singapore, 1997.
M. Goodchild and S. Gopal, eds. The Accuracy of Spatial Databases, Taylor and Francis, Basingstoke, UK, 1990.
, ARC /INFO User’s Guide: ARC/INFO 6.0 Data Model: Concepts and Key Terms, Environmental Systems Research Institute, Redlands, CA.
D. MaGuire, “An Overview and Definition of GIS,” Geographical Information Systems: Principles and Applications, VOL I - Principles, (eds. D. MaGuire, M. Goodchild, and D. Rhind), pp. 9–20, Longman, Essex GB, 1991.
University Consortium on Geographic Information Science, “Research Priorities for Geographic Information Science,” Cartography and Geographic Information Systems, Vol. 23, No. 3, pp 115–127, 1996.
H. Veregin, “A Taxonomy of Error in Spatial Databases,” Technical Report 89–12, National Center for Geographic Information and Analysis, Santa Barbara, CA, 1989.
P.A. Burrough, “Fuzzy Mathematical Models for Soil Survey and Land Evaluation,” Journal of Soil Science, 40:477–492, 1989.
M.F. Goodchild, G. Sun, and S. Yang. “Development and Test of an Error Model for Categorical Data,” International Journal of Geographical Information Systems, 6(2):87–104, 1992.
P.F. Fisher, “First Experiments in Viewshed Uncertainty: Simulating the Fuzzy Viewshed,” Photogrammetric Engineering and Remote Sensing, 58:345–352, 1992.
P.A. Burrough and A.U. Frank, editors, Geogruphic Objects with Indeterminate Boundaries, Taylor and Francis, London, 1996.
P.F. Fisher, “Probable and Fuzzy Models of the Viewshed Operation,” in M.F. Worboys, editor, Innovations in GIS 7,Taylor and Francis, London, pp. 161–175, 1994.
P.F. Fisher, “Boolean and Fuzzy Regions,” in P.A. Burrough and A.U. Frank, editors, Geographic Objects with Indeterminate Boundaries, Taylor and Francis, London, pp. 87–94, 1996.
S. Kennedy, “The Small Number Problem and the Accuracy of Spatial Databases,” Chapter 16, The Accuracy of Spatial Databases, (eds. M. Goodchild and S. Gopal), Taylor and Francis, Basingstoke, UK, 1990.
D. Stoms, “Reasoning with Uncertainty in Intelligent Geographic Information Systems,” Proc. GIS 87 - 2nd Annual Int. Conf on Geographic Information Systems, 693–699, American Soc. for Photogrammetry and Remote Sensing, Falls Church VA, 1987.
M.F. Goodchild, D.R. Montello, Peter Fohl, and Jon Gottsegen, “Fuzzy Spatial Queries in Digital Spatial Data Libraries,” Proc. FUZZ-IEEE ’98, Anchorage, AK, pp. 205–210, 1998.
C.R. Ehlschlaeger, A.M. Shortridge, and M.F. Goodchild, “Visualizing Spatial Data Uncertainty Using Animation, ” Computers and Geosciences, 23(4):387–395, 1997.
V. Robinson and A. Frank, “About Different Kinds of Uncertainty in Geographic Information Systems,” Proc. AUTOCARTO 7 Conference, 1985.
V. Robinson, “Implications of Fuzzy Set Theory for Geographic Databases,” Computers, Environment, and Urban Systems, Vol. 12, pp. 89–98, 1988.
V. Robinson, “Interactive Machine Acquisition of a Fuzzy Spatial Relation,” Computers and Geosciences, Vol. 6, pp. 857–872, 1990.
C. Giardina, “Fuzzy Databases and Fuzzy Relational Associative Processors,” Technical Report, Stevens Institute of Technology, Hoboken NJ, 1979.
J. Baldwin, “Knowledge Engineering Using a Fuzzy Relational Inference Language,” Proc IFAC Symp. on Fuzzy Information Knowledge Representation and Decision Analysis, pp. 15–21, 1983.
L. Zadeh, “Test-Score Semantics for Natural Languages and Meaning Representation via PRUF,” Empirical Semantics, (ed. B. Rieger), Brockmeyer, Bochum, GR, pp. 281–349, 1981.
V. Cross, “Using the Fuzzy Object Model for Geographical Information Systems,” Proc. 18th Intl. Conference of the North American Fuzzy Information Processing Society(NAFIPS), pp. 814–818, June 10–12, 1999.
E. L. Usery, “A Conceptual Framework and Fuzzy Set Implementation for Geographic Features,” in Geographic Objects with Indeterminate Boundaries, ed. P. Burrough and A. Frank, Taylor and Francis, London, pp. 71–86, 1996.
Y. Leung, Spatial Analysis and Planning Under Imprecision, Amsterdam, Elsevier, 1988.
M.H. Katinsky, Fuzzy Set Modeling in Geographic Information Systems. Unpublished Master’s Thesis, Department of Geography, University of Wisconsin-Madison, Madison, WI, 1994.
T. Sarjakoski, “How Many Lakes, Islands, and Rivers are there in Finland: a Case Study of Fuzziness in Extent and Identity of Geographic Objects,” Geographic Objects with Indeterminate Boundaries, ed. P. Burrough and A. Frank, Taylor and Francis, London, pp. 299–312, 1996.
A.U. Frank and M.F. Goodchild, “Two Perspectives on Geographic Data Modelling,” Technical Paper 90–11, National Center for Geographic Information and Analysis (NCGIA), 1990.
H. Couclelis, “Beyond the Raster-Vector Debate in GIS,” in Frank, A.U., Campari, I. and Formentini, U. (Eds), Theories and Methods of Spatio-Temporal Reasoning in Geographic Space, Lecture Notes in Computer Science 639, Berlin: Springer, pp.65–77, 1992.
V. B. Robinson, “A Perspective on Managing Uncertainty in Geographic Information Systems with Fuzzy Sets,” Proc. FUZZ-IEEE ’98, pp. 211–215, 1998.
T.J. Davis, and C. P. Keller, “Modelling Uncertainty in Natural Resource Analysis Using Fuzzy Sets and Monte Carlo Simulation: Slope Stability Prediction,” International Journal of Gegraphical Information Systems, 11(5): 409–434, 1997.
D. Altman, “Fuzzy Set Theoretic Approaches for Handling Imprecision in Spatial Analysis,” International Journal of Geographical Information Systems, 8(3): 409–434, 1994.
M. Cobb, An Approach for the Definition, Representation and Querying of Binary Topological and Directional Relationships between Two-Dimensional Objects, Ph.D. dissertation, Tulane University, New Orleans, LA, 1995.
M. Cobb, and F. Petry, “Modeling Spatial Relationships within a Fuzzy Framework,” Journal of the American Society for Information Science, 49(3), pp.253–266, 1998.
M. Cobb, and F. Petry, “Fuzzy Querying of Binary Relationships in Spatial Databases,” Proc. IEEE Intl. Conference on Systems, Man and Cybernetics, Vancouver, BC, pp. 3624–3629, 1995.
M.J. Egenhofer, and R. Franzosa, “Point-Set Topological Spatial Relations,” Intl. J. Geo. Info. Sys., Vol. 5, No. 2, pp. 161–174, 1991.
M. Cobb, and F. Petry, “Integration of a Fuzzy Query Framework with Existing Spatial Query Languages,” Proc. Fifth IEEE Intl. Conf. On Fuzzy Systems (FUZZ-IEEE), New Orleans, LA, pp. 93–99, 1996.
M. Nabil, J. Shepherd and A.H.H. Ngu, “2D Projection Interval Relationships: A Symbolic Representation of Spatial Relationships,” Advances in Spatial Databases: 42nd Symposium, SSD ’95, pp. 292–309, 1995.
J. Sharma, and D.M. Flewelling, “Inferences from Combined Knowledge about Topology and Direction,” Advances in Spatial Databases: 42nd Symposium, SSD ’95, pp. 279–291, 1995.
E. Clementini, J. Sharma and M.J. Egenhofer, “Modelling Topological and Spatial Relations: Strategies for Query Processing,” Computers and Graphics, Vol. 18, No. 6, pp. 815–22, 1994.
H.-P. Kriegel, M. Schiwietz, R. Schneider, and B. Seeger. “Performance Comparison of Point and Spatial Access Methods,” in A. Buchmann, O. Gunther, T. Smith & T. Wang (Eds.), Design and Implementation of Large Spatial Databases, Lecture Notes in Computer Science 409, Santa Barbara, CA: Springer-Verlag, pp. 89–114, 1989.
H. Samet, The Design and Analysis of Spatial Data Structures, Reading MA: Addison-Wesley, 1989.
S.K. Chang, et al. “An Intelligent Image Database System,” IEEE Transactions on Software Engineering, Vol. 14, No. 5, pp. 681–688, 1988.
J. F. Allen, “Maintaining Knowledge about Temporal Intervals,” Communications of the ACM, Vol. 26, No. 11., pp. 832–843, November 1983.
A. Saalfeld, “Conflation: Automated Map Compilation,” International Journal ofGIS, 2(3):217–228, 1988.
M. Godau, “A Natural Metric for Curves-Computing for Polygonal Chains and Approximation Algorithms,” Proc. Symposium on Theoretical Aspects of Computer Science, STACS ’91, Springer Lecture Notes in Computer Science, V. 480, pp. 127–136, 1991.
D. Siegel, “A non-traditional solution to conflation,” Proceedings of the Urban and Regional Information Systems Association annual conference, Washington, D.C., 16–20 July, pp. 462–75, 1995.
L. A Zadeh, “Fuzzy Sets,” Information and Control, pp. 338–353,1965.
G. Shafer, A Mathematical Theory of Evidence, Princeton University Press, 1976.
M. A. Cobb, M.J. Chung, V. Miller, H. Foley III, F. E. Petry, K. B. Shaw, “A Rule-Based Approach For The Conflation of Attributed Vector Data,” Geolnformatica, 2(1), pp. 7–35, 1998.
H. Foley, F. Petry, M. Cobb and K. Shaw, “Utilization of an Expert System for the Analysis of Semantic Characteristics for Improved Conflation in Geographic Information Systems,” Proc. of the 10f h Intl. Conf. On Industrial and Engineering Applications ofAI, Atlanta, GA, pp. 267–275, 1997.
H. Foley, F. Petry, M. Cobb and K. Shaw, “Using Semantic Constraints for Improved Conflation in Spatial Databases,” in Proc. 7 th Intl. Fuzzy Systems Association World Congress, Prague, 193–197, 1997.
E. Lim, J. Srivastava and S. Shekar, “An Evidential Reasoning Approach to Attribute Value Conflict Resolution in Database Integration,” IEEE Transactions on Knowledge and Data Engineering, 8(5):707–723, 1996.
M. Cobb, F. Petry and K. Shaw, “Uncertainty Issues of Conflation in a Distributed Environment,” Proceedings of GIS/LIS ’98, Fort Worth, TX, pp.436–448,Nov.l0–12,1998.
M. Cobb, H. Foley III, R. Wilson, M. Chung and K. Shaw, “An OO Database Migrates to the Web,” IEEE Software, 15(3), pp. 22–30, May-June.
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Cobb, M., Foley, H., Petry, F., Shaw, K. (2000). Uncertainty in Distributed and Interoperable Spatial Information Systems. In: Bordogna, G., Pasi, G. (eds) Recent Issues on Fuzzy Databases. Studies in Fuzziness and Soft Computing, vol 53. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1845-1_5
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