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» Filters of residuated lattices and triangle algebras
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ISCI
2010
100views more  ISCI 2010»
13 years 5 months ago
Filters of residuated lattices and triangle algebras
An important concept in the theory of residuated lattices and other algebraic structures used for formal fuzzy logic, is that of a filter. Filters can be used, amongst others, to...
Bart Van Gasse, Glad Deschrijver, Chris Cornelis, ...
FSS
2008
87views more  FSS 2008»
13 years 6 months ago
Triangle algebras: A formal logic approach to interval-valued residuated lattices
In this paper, we introduce triangle algebras: a variety of residuated lattices equipped with approximation operators, and with a third angular point u, different from 0
Bart Van Gasse, Chris Cornelis, Glad Deschrijver, ...
EUSFLAT
2007
140views Fuzzy Logic» more  EUSFLAT 2007»
13 years 8 months ago
A Fuzzy Formal Logic for Interval-valued Residuated Lattices
Fuzzy formal logics were introduced in order to handle graded truth values instead of only ‘true’ and ‘false’. A wide range of such logics were introduced successfully, li...
Bart Van Gasse, Chris Cornelis, Glad Deschrijver, ...
IJAR
2008
143views more  IJAR 2008»
13 years 6 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, ...