The extension theorems for M-measures play a fundamental role in the construction of joint observables. In this paper we generalize the M-measure extension theorem to the lattice group-valued case. In our context one can deal with intuitionistic fuzzy events and not only with their components. Moreover, to consider l-group-valued set functions allows to get applications to stochastic processes and to probability measures depending on the time and/or on the informations.
On extension theorems for M-measures in l-groups
BOCCUTO, Antonio;
2010
Abstract
The extension theorems for M-measures play a fundamental role in the construction of joint observables. In this paper we generalize the M-measure extension theorem to the lattice group-valued case. In our context one can deal with intuitionistic fuzzy events and not only with their components. Moreover, to consider l-group-valued set functions allows to get applications to stochastic processes and to probability measures depending on the time and/or on the informations.File in questo prodotto:
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