Fuzzy logics are in most cases based on an ad-hoc decision about the interpretation of the conjunction. If they are useful or not can typically be found out only by testing them wi...
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, ...
In this paper we summarize results on perfect MV-algebras and we show that the class of first order Lukasiewicz formulas valid in all interpretations over perfect MV-chains is ax...
Lawrence Peter Belluce, Antonio di Nola, Brunella ...
If logic programs are interpreted over a three-valued logic, then often Kleene's strong three-valued logic with complete equivalence and Fitting's associated immediate co...
Carroline Dewi Puspa Kencana Ramli, Steffen Hö...
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...