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2011.79: A note on the algebraic structure of conditionals

2011.79: Tommaso Flaminio and Hykel Hosni (2011) A note on the algebraic structure of conditionals.

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Abstract

We investigate the idea of representing conditional measures as simple measures (possibly with further properties) on conditional objects. To formalise this intuition we introduce a logico-algebraic framework based on the concept of conditional algebras. These are structures which allow us to distinguish between the logical properties of conditionals and those of conditional measures, a distinction which, we argue, helps us clarifying both concepts. We illustrate the applicability of our framework by considering three popular conditional measures in the uncertain reasoning literature, namely, plausibility, probability and possibility measures.

Item Type:MIMS Preprint
Uncontrolled Keywords: Conditionals; Uncertain Reasoning; Conditional Measures; Conditional Algebra.
Subjects:MSC 2000 > 03 Mathematical logic and foundations
MSC 2000 > 08 General algebraic systems
MIMS number:2011.79
Deposited By:Dr Hykel Hosni
Deposited On:12 October 2011

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