Publications

Vague Spatial Algebra (VASA)

VASA is deeply described in the following article:

• Pauly, A.; Schneider, M. VASA: An Algebra For Vague Spatial Data in Databases 35 (1), p. 111-138, 2010.

VagueGeometry is an implementation of VASA for the PostgreSQL, as described in:

• Carniel, A. C.; Ciferri, R. R.; Ciferri, C. D. A. The VagueGeometry Abstract Data Type. Journal of Information and Data Management 7 (1), p. 18-34, 2016.
• Carniel, A. C.; Ciferri, R. R.; Ciferri, C. D. A. Embedding Vague Spatial Objects into Spatial Databases using the VagueGeometry Abstract Data Type. In Proceedings of the XVI Brazilian Symposium on GeoInformatics (GEOINFO 2015), p. 233-244, 2015.

Plateau Spatial Algebra (SPA)

SPA is firstly introduced by the following article:

• Schneider, M. Spatial Plateau Algebra for Implementing Fuzzy Spatial objects in Databases and GIS: Spatial Plateau Data Types and Operations. Applied Soft Computing 16 (3), p. 148-170, 2014.

Then, SPA has been extended in:

• Carniel, A. C.; Schneider, M. Spatial Plateau Algebra: An Executable Type System for Fuzzy Spatial Data Types. In Proceedings of the 2018 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2018), p. 1-8, 2018.

Fuzzy Spatial Algebra (FUSA)

FUSA has been introduced by the following papers:

• Carniel, A. C.; Schneider, M. Coverage Degree-Based Fuzzy Topological Relationships for Fuzzy Regions. In Proceedings of the 2017 International Conference on Flexible Query Answering Systems (FQAS 2017), p. 112-123, 2017.
• Carniel, A. C.; Schneider, M. A Conceptual Model of Fuzzy Topological Relationships for Fuzzy Regions. In Proceedings of the 2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2016), p. 2271-2278, 2016.
• Carniel, A. C.; Schneider, M.; Ciferri, R. R; Ciferri, C. D. A. Modeling Fuzzy Topological Predicates for Fuzzy Regions. In Proceedings of the 22^nd ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems (ACM SIGSPATIAL 2014),p. 529-532, 2014.

There is also an existing implementation of fuzzy point objects and fuzzy line objects, such as described in:

• Carniel, A. C.; Ciferri, R. R.; Ciferri, C. D. A. Handling Fuzzy Points and Fuzzy Lines using the FuzzyGeometry Abstract Data Type. Journal of Information and Data Management 7 (1), p. 35-51, 2016.
• Carniel, A. C.; Ciferri, R. R.; Ciferri, C. D. A. An Abstract Data Type to Handle Vague Spatial Objects Based on the Fuzzy Model. In Proceedings of the XVI Brazilian Symposium on GeoInformatics (GEOINFO 2015), p. 210-221, 2015.

The applicability of fuzzy spatial objects has been studied in:

• Carniel, A. C.; Schneider, M. Fuzzy Inference on Fuzzy Spatial Objects (FIFUS) for Spatial Decision Support Systems. In Proceedings of the 2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2017), p. 1-6, 2017
• Carniel, A. C.; Schneider, M.; Ciferri, R. R. FIFUS: A Rule-based Fuzzy Inference Model for Fuzzy Spatial Objects in Spatial Databases and GIS. In Proceedings of the 23^rd SIGSPATIAL International Conference on Advances in Geographic Information Systems (ACM SIGSPATIAL 2015), p. 83:1-83:4, 2015.