206 research outputs found
Conditional states and joint distributions on MV-algebras
summary:In this paper we construct conditional states on semi-simple MV-algebras. We show that these conditional states are not given uniquely. By using them we construct the joint probability distributions and discuss the properties of these distributions. We show that the independence is not symmetric
MV-algebras, multiple bets and subjective states
AbstractIn this paper MV-algebras, the algebras of L̵ukasiewicz infinite-valued logics, are interpreted in a structure of bets, and a subjective interpretation of finitely additive measures on MV-algebras is given
On the algebraic structure of conditional events: 13th European conference, ECSQARU 2015, Compiègne, France, July 15-17, 2015.
This paper initiates an investigation of conditional measures as simple measures on conditional events. As a first step towards this end we investigate the construction of conditional algebras which allow us to distinguish between the logical properties of conditional events and those of the conditional measures which we can be attached to them. This distinction, we argue, helps us clarifying both concepts
Contribution on some construction methods for aggregation functions
In this paper, based on [14], we present some well established construction methods for aggregation functions as well as some new ones
Boolean algebras of conditionals, probability and logic
This paper presents an investigation on the structure of conditional events
and on the probability measures which arise naturally in this context. In
particular we introduce a construction which defines a (finite) {\em Boolean
algebra of conditionals} from any (finite) Boolean algebra of events. By doing
so we distinguish the properties of conditional events which depend on
probability and those which are intrinsic to the logico-algebraic structure of
conditionals. Our main result provides a way to regard standard two-place
conditional probabilities as one-place probability functions on conditional
events. We also consider a logical counterpart of our Boolean algebras of
conditionals with links to preferential consequence relations for non-monotonic
reasoning. The overall framework of this paper provides a novel perspective on
the rich interplay between logic and probability in the representation of
conditional knowledge
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