Ranking functions and rankings on languages

The Spohnian paradigm of ranking functions is in many respects like an order-of-magnitude reverse of subjective probability theory. Unlike probabilities, however, ranking functions are only indirectly--via a pointwise ranking function on the underlying set of possibilities W--defined on a field of propositions A over W. This research note shows under which conditions ranking functions on a field of propositions A over W and rankings on a language L are induced by pointwise ranking functions on W and the set of models for L, ModL, respectively. 2005 Elsevier B.V. All rights reserved.

• Type: Journal
• Year: 2006
• Where: AI
• Authors: Franz Huber
• Keywords: AI 2006, Artificial Intelligence, Pointwise Ranking Functions, Ranking Functions, Subjective Probability Theory