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» A characterization of interval-valued residuated lattices
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IJAR
2008
143views more  IJAR 2008»
13 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, ...
EUSFLAT
2003
146views Fuzzy Logic» more  EUSFLAT 2003»
14 years 8 days ago
Cut equivalence of fuzzy relations
Fuzzy relations on the same domain are classified according to the equality of families of cut sets. This equality of fuzzy relations is completely characterized, not only for un...
Branimir Seselja, Andreja Tepavcevic
ISCI
2010
100views more  ISCI 2010»
13 years 9 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, ...
EUSFLAT
2007
140views Fuzzy Logic» more  EUSFLAT 2007»
14 years 10 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, ...
FSS
2010
119views more  FSS 2010»
13 years 9 months ago
Algebraic and proof-theoretic characterizations of truth stressers for MTL and its extensions
Extensions of monoidal t-norm logic MTL and related fuzzy logics with truth stresser modalities such as globalization and “very true” are presented here both algebraically in ...
Agata Ciabattoni, George Metcalfe, Franco Montagna