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, ...
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...
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, ...
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, ...
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