Modus ponens generating function in the class of ∧-valuations of plausibility

Authors:
Ildar Z. Batyrshin
Affiliations:
Kazan State Technological University, Kazan, Tatarstan, Russia
Venue:
UAI'94 Proceedings of the Tenth international conference on Uncertainty in artificial intelligence
Year:
1994

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Abstract

We discuss the problem of construction of inference procedures which can manipulate with uncertainties measured in ordinal scales and fulfil to the property of strict monotonicity of conclusion. The class of ∧-valuations of plausibility is considered where operations based only on information about linear ordering of plausibility values are used. In this class the modus ponens generating function fulfiling to the property of strict monotonicity of conclusions is introduced.