Abstract
Geographical Information Systems and spatial database systems are well able to handle crisp spatial objects, i.e., objects in space whose location, extent, shape, and boundary are precisely known. However, this does not hold for fuzzy spatial objects characterized by vague boundaries and/or interiors. In the same way as fuzzy spatial objects are vague, the topological relationships (e.g., overlap, inside) between them are vague too. In this conceptual paper, we propose a novel model to formally define fuzzy topological relationships for fuzzy regions. For their definition we consider the numeric measure of coverage degree and map it to linguistic terms that can be embedded into spatial queries.
Anderson Chaves Carniel: This author has been supported by the following Brazilian research agencies: FAPESP, CAPES, and CNPq.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bjørke, J.T.: Topological relations between fuzzy regions: derivation of verbal terms. Fuzzy Sets Syst. 141(3), 449–467 (2004)
Bloch, I.: Fuzzy spatial relationships for image processing and interpretation: a review. Image Vis. Comput. 23(2), 89–110 (2005)
Carniel, A.C., Schneider, M.: A conceptual model of fuzzy topological relationships for fuzzy regions. In: IEEE International Conference on Fuzzy Systems, pp. 2271–2278 (2016)
Carniel, A.C., Schneider, M., Ciferri, R.R., Ciferri, C.D.A.: Modeling fuzzy topological predicates for fuzzy regions. In: ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems, pp. 529–532 (2014)
Clementini, E., Di Felice, P.: Approximate topological relations. Int. J. Approximate Reasoning 16(2), 173–204 (1997)
Dilo, A.: Representation of and reasoning with vagueness in spatial information: a system for handling vague objects. Ph.D. thesis, International Institute for Geo-information Science & Earth Observation (2006)
Jifa, G., Tiejun, C.: Topological relation analysis between high-order fuzzy regions based on fuzzy logic. J. Intell. Fuzzy Syst. Appl. Eng. Technol. 26(4), 2057–2071 (2014)
Schneider, M.: Metric operations on fuzzy spatial objects in databases. In: ACM Symposium on Advances in Geographic Information Systems, pp. 21–26 (2000)
Schneider, M.: Fuzzy spatial data types for spatial uncertainty management in databases. In: Galindo, J. (ed.) Handbook of Research on Fuzzy Information Processing in Databases, pp. 490–515. IGI Global (2008)
Schneider, M.: Spatial Plateau Algebra for implementing fuzzy spatial objects in databases and GIS: Spatial Plateau data types and operations. Appl. Soft Comput. 16(3), 148–170 (2014)
Schneider, M., Behr, T.: Topological relationships between complex spatial objects. ACM Trans. Database Syst. 31(1), 39–81 (2006)
Schockaert, S., De Cock, M., Kerre, E.E.: Spatial reasoning in a fuzzy region connection calculus. Artif. Intell. 173(2), 258–298 (2009)
Verstraete, J.: Deriving topological concepts for fuzzy regions: from properties to definitions. Control Cybern. 41(1), 7:113–7:144 (2012)
Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Chaves Carniel, A., Schneider, M. (2017). Coverage Degree-Based Fuzzy Topological Relationships for Fuzzy Regions. In: Christiansen, H., Jaudoin, H., Chountas, P., Andreasen, T., Legind Larsen, H. (eds) Flexible Query Answering Systems. FQAS 2017. Lecture Notes in Computer Science(), vol 10333. Springer, Cham. https://doi.org/10.1007/978-3-319-59692-1_10
Download citation
DOI: https://doi.org/10.1007/978-3-319-59692-1_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-59691-4
Online ISBN: 978-3-319-59692-1
eBook Packages: Computer ScienceComputer Science (R0)