Brunella Gerla

Learn More
Associated with any [0, 1]-valued propositional logic with a complete algebraic semantics, one can consider algebras of families of fuzzy sets over a classical universe, endowed with the appropriate operations. For the three most important schematic extensions of Hájek’s Basic (Fuzzy) Logic, we investigate the existence and the structure of such algebras of(More)
111 order to give a general approach to fuzzy set theory, we utilize the concepts of geneialized algebra and realization (in this paper we call them valuation structure and f u z g model, respectively) given by H. RASIOWA and R. SIKORSRI in [13], [I51 and others papers. h’amely we treat the valuation structures of a given type and the fuzzy motlelh of a(More)
In the 1930s, Bruno de Finetti described a simple criterion to establish if a distribution of values β(Ei) ∈ [0, 1] to events Ei can be extended to a probability measure on the Boolean algebra A generated by such events. The criterion states that for a given β the required extension does not exist if and only if it is possible to choose real numbers σ1, . .(More)
We introduce a semantical definition of minterms and maxterms which generalizes the usual notion in Boolean logic to a class of many-valued logics. We apply this notion to get normal forms for logics G, NM, NMG. Then we obtain a combinatorial description of the n-generated free algebras in the varieties constituting the algebraic semantics of those logics.(More)