A note on the algebraic structure of conditionals

Flaminio, Tommaso and Hosni, Hykel (2011) A note on the algebraic structure of conditionals. [MIMS Preprint]

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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 2010, the AMS's Mathematics Subject Classification > 03 Mathematical logic and foundations
MSC 2010, the AMS's Mathematics Subject Classification > 08 General algebraic systems
Depositing User: Dr Hykel Hosni
Date Deposited: 12 Oct 2011
Last Modified: 08 Nov 2017 18:18
URI: https://eprints.maths.manchester.ac.uk/id/eprint/1680

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