Fuzzy region connection calculus: An interpretation based on closeness

International Journal of Approximate Reasoning

Volumn 48, Issue 1, 2008, Pages 332-347

  Schockaert, Steven ^a   De Cock, Martine ^a   Cornelis, Chris ^a   Kerre, Etienne E ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

Approximate equality; Fuzzy relational calculus; Region connection calculus

Indexed keywords

APPROXIMATION ALGORITHMS; FUNCTION EVALUATION; FUZZY SETS; PROBLEM SOLVING; SEMANTICS; TOPOLOGY;

APPROXIMATE EQUALITY; FUZZY RELATIONAL CALCULUS; REGION CONNECTION CALCULUS;

FUZZY LOGIC;

EID: 40049087411     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2007.10.002     Document Type: Article

References (16)

1. Zadeh L.A. Fuzzy sets. Information and Control 8 3 (1965) 338-353
2. Allen J.F. Maintaining knowledge about temporal intervals. Communications of the ACM 26 11 (1983) 832-843
3. D.A. Randell, Z. Cui, A.G. Cohn, A spatial logic based on regions and connection, in: Proceedings of the 3rd International Conference on Knowledge Representation and Reasoning, 1992, pp. 165-176.
4. Kerre E.E. Introduction to the basic principles of fuzzy set theory and some of its applications. Communication and Cognition (1993)
5. Bennett B. Modal logics for qualitative spatial reasoning. Bulletin of the IGPL 4 1 (1995)
6. N.M. Gotts, An Axiomatic Approach to Topology for Spatial Information Systems, Report 96.25, Research Report Series, School of Computer Studies, University of Leeds, 1996.
7. Renz J., and Nebel B. On the complexity of qualitative spatial reasoning: a maximal tractable fragment of the region connection calculus. Artificial Intelligence 108 1 (1999) 69-123
8. Novák V., Perfilieva I., and Močkoř J. Mathematical Principles of Fuzzy Logic (1999), Kluwer Academic Publishers
9. Renz J. A canonical model of the region connection calculus. Journal of Applied Non-Classical Logics 12 3-4 (2002) 469-494
10. Bodenhofer U. A unified framework of opening and closure operators with respect to arbitrary fuzzy relations. Soft Computing 7 4 (2003) 220-227
11. De Cock M., and Kerre E.E. On (un)suitable fuzzy relations to model approximate equality. Fuzzy Sets and Systems 133 2 (2003) 137-153
12. De Cock M., and Kerre E.E. Why fuzzy T-equivalence relations do not resolve the Poincaré paradox, and related issues. Fuzzy Sets and Systems 133 2 (2003) 181-192
13. Schockaert S., De Cock M., and Cornelis C. Relatedness of fuzzy sets. International Journal of Intelligent and Fuzzy Systems 6 4 (2005) 297-303
14. S. Schockaert, C. Cornelis, M. De Cock, E.E. Kerre, Fuzzy spatial relations between vague regions, in: Proceedings of the 3rd IEEE Conference on Intelligent Systems, 2006, pp. 221-226.
15. S. Schockaert, M. De Cock, E.E. Kerre, Location approximation for local search services using natural language hints, International Journal of Geographical Information Science, in press.
16. S. Schockaert, M. De Cock, C. Cornelis, E.E. Kerre, Fuzzy region connection calculus: representing vague topological information, International Journal of Approximate Reasoning, accepted for publication.