Maintaining knowledge about temporal intervals
Communications of the ACM
On (un)suitable fuzzy relations to model approximate equality
Fuzzy Sets and Systems - Theme: Basic notions
Why fuzzy T-equivalence relations do not resolve the Poincaré paradox, and related issues
Fuzzy Sets and Systems - Theme: Basic notions
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology - Dedicated to the 60th birthday of Etienne E. Kerre
Fuzzy region connection calculus: Representing vague topological information
International Journal of Approximate Reasoning
Location approximation for local search services using natural language hints
International Journal of Geographical Information Science
Fuzzy region connection calculus: Representing vague topological information
International Journal of Approximate Reasoning
Spatial reasoning in a fuzzy region connection calculus
Artificial Intelligence
On standard models of fuzzy region connection calculus
International Journal of Approximate Reasoning
Two-dimensional fuzzy spatial relations: a new way of computing and representation
Advances in Fuzzy Systems
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One of the key strengths of the region connection calculus (RCC) - its generality - is also one of its most important drawbacks for practical applications. The semantics of all the topological relations of the RCC are based on an interpretation of connection between regions. Because of the manner in which the spatial relations are defined, given a particular interpretation of connection, the RCC relations are often hard to evaluate, and their semantics difficult to grasp. Our generalization of the RCC, in which the spatial relations can be fuzzy relations, inherits this limitation of the RCC. To cope with this, in this paper, we provide specific characterizations of the fuzzy spatial relations, corresponding to the particular case where connection is defined in terms of closeness between fuzzy sets. These characterizations pave the way for practical applications in which the notion of connection is graded rather than black-and-white.