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» Interval sets and interval-set algebras
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IJAR
2008
143views more  IJAR 2008»
13 years 7 months ago
A characterization of interval-valued residuated lattices
As is well-known, residuated lattices (RLs) on the unit interval correspond to leftcontinuous t-norms. Thus far, a similar characterization has not been found for RLs on the set o...
Bart Van Gasse, Chris Cornelis, Glad Deschrijver, ...
FLAIRS
2003
13 years 9 months ago
When Regions Start to Move
In this paper, we discuss a formalism for modeling regions that are exposed to movement or deformation. The basis of our formalism is the RCC theory, which uses topological relati...
Hans W. Guesgen
AML
2006
120views more  AML 2006»
13 years 7 months ago
On the infinite-valued Lukasiewicz logic that preserves degrees of truth
Lukasiewicz's infinite-valued logic is commonly defined as the set of formulas that take the value 1 under all evaluations in the Lukasiewicz algebra on the unit real interva...
Josep Maria Font, Àngel J. Gil, Antoni Torr...
CCA
2005
Springer
14 years 1 months ago
The Dedekind Reals in Abstract Stone Duality
kind Reals in Abstract Stone Duality Andrej Bauer and Paul Taylor 3 June 2009 Stone Duality (ASD) is a direct axiomatisation of general topology, in contrast to the traditional an...
Andrej Bauer, Paul Taylor 0002
FSS
2006
140views more  FSS 2006»
13 years 7 months ago
Advances and challenges in interval-valued fuzzy logic
Among the various extensions to the common [0, 1]-valued truth degrees of "traditional" fuzzy set theory, closed intervals of [0, 1] stand out as a particularly appealin...
Chris Cornelis, Glad Deschrijver, Etienne E. Kerre