We axiomatize the notion of state over finitely generated free NM-algebras, the Lindenbaum algebras of pure Nilpotent Minimum logic. We show that states over the free n-generated NM-algebra $${{\fancyscript{NM}_{n}}}$$ exactly correspond to integrals of elements of $${{\fancyscript{NM}_{n}}}$$ with respect to Borel probability measures
We apply the general formalism of nilpotent polynomials (Mandilara et al 2006 Phys. Rev. A 74 022331...
In this section we begin a systematic study of algebras given by algebraic measures.Knowing that \ud...
The deep relation between states of an MV-algebra M and betting on the continuous-valued events defi...
MV-algebras can be viewed either as the Lindenbaum algebras of Lukasiewicz infinite-valued logic, or...
The aim of this paper is to extend probability theory from the classical to the product t-norm fuzzy...
In the framework of t-norm based logics, Godel propositional logic G and drastic product logic DP ar...
Possibility and necessity measures are commonly defined over Boolean algebras. This work considers a...
In the framework of t-norm based logics, G\uf6del propositional logic G and drastic product logic DP...
In the frames of quantum structures, states are a very important notion that model probability on an...
In the frames of quantum structures, states are a very important notion that model probability on an...
Let L be a propositional mathematical fuzzy logic with the real unit interval [0, 1] as its set of t...
In this paper we define and axiomatise finitely additive probability measures for events described b...
AbstractThe notion of state in an MV-algebra generalizes the notion of finitely additive measure on ...
The paper introduces the notion of state for involutive bisemilattices, a variety which plays the ro...
We introduce a semantical definition of minterms and maxterms which generalizes the usual notion in ...
We apply the general formalism of nilpotent polynomials (Mandilara et al 2006 Phys. Rev. A 74 022331...
In this section we begin a systematic study of algebras given by algebraic measures.Knowing that \ud...
The deep relation between states of an MV-algebra M and betting on the continuous-valued events defi...
MV-algebras can be viewed either as the Lindenbaum algebras of Lukasiewicz infinite-valued logic, or...
The aim of this paper is to extend probability theory from the classical to the product t-norm fuzzy...
In the framework of t-norm based logics, Godel propositional logic G and drastic product logic DP ar...
Possibility and necessity measures are commonly defined over Boolean algebras. This work considers a...
In the framework of t-norm based logics, G\uf6del propositional logic G and drastic product logic DP...
In the frames of quantum structures, states are a very important notion that model probability on an...
In the frames of quantum structures, states are a very important notion that model probability on an...
Let L be a propositional mathematical fuzzy logic with the real unit interval [0, 1] as its set of t...
In this paper we define and axiomatise finitely additive probability measures for events described b...
AbstractThe notion of state in an MV-algebra generalizes the notion of finitely additive measure on ...
The paper introduces the notion of state for involutive bisemilattices, a variety which plays the ro...
We introduce a semantical definition of minterms and maxterms which generalizes the usual notion in ...
We apply the general formalism of nilpotent polynomials (Mandilara et al 2006 Phys. Rev. A 74 022331...
In this section we begin a systematic study of algebras given by algebraic measures.Knowing that \ud...
The deep relation between states of an MV-algebra M and betting on the continuous-valued events defi...
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