Constructing Knowledge Spaces from Judgements with Differing Degrees of Certainty
Procedures for constructing knowledge spaces from the judgements of experts have recently been developed. These judgements are so that the expert accepts or rejects statements which can be represented as logical expressions. The number of possible judgements is reduced by omitting those judgements which logically follow from previous judgements.
This paper firstly suggests new inference rules for determing those judgements which an be inferred from previous judgements. Secondly, an extension of the procedures for querying an expert is introduced by which the expert accepts or rejects statements with different levels of certainty. As a result, we will obtain a nested sequence of knowledge spaces among which one can choose depending on the application
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