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» Filters of residuated lattices and triangle algebras
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ISCI
2010
100views more  ISCI 2010»
14 years 10 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»
14 years 11 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»
15 years 27 days 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»
14 years 11 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, ...