A Granular Semantics for Fuzzy Measures and its Application to Climate Change Scenarios

A granular based semantics for fuzzy measures is introduced in which the measure of a set of propositions approximates the probability of the disjunction of these propositions. This approximation is derived from known probabilities across a granular partition of the set of possible worlds. This interpretation is then extended to allow for the case where there is uncertainty regarding the meanings of propositions. Such a semantics is motivated by, and provides some justification for, the use of fuzzy measures to quantify the uncertainty associated with climate emissions scenarios. The use of socio-economic scenarios in climate models is discussed in the context of a possible worlds model and an example is given of the use of fuzzy measures across scenarios to aggregate global mean temperature predictions. Keywords. Fuzzy measures, operational semantics, uncertain models, emission scenarios

• Type: Conference
• Year: 2005
• Where: ISIPTA
• Authors: Jonathan Lawry, Jim Hall, Guangtao Fu
• Keywords: Fuzzy Measures, Granular Based Semantics, ISIPTA 2005, Mathematics, Possible Worlds