Enrichment of Qualitative Beliefs for Reasoning under Uncertainty

– This paper deals with enriched qualitative belief functions for reasoning under uncertainty and for combining information expressed in natural language through linguistic labels. In this work, two possible enrichments (quantitative and/or qualitative) of linguistic labels are considered and operators (addition, multiplication, division, etc) for dealing with them are proposed and explained. We denote them qe-operators, qe standing for “qualitative-enriched” operators. These operators can be seen as a direct extension of the classical qualitative operators (q-operators) proposed recently in the Dezert-Smarandache Theory of plausible and paradoxist reasoning (DSmT). q-operators are also justified in details in this paper. The quantitative enrichment of linguistic label is a numerical supporting degree in [0, ∞), while the qualitative enrichment takes its values in a finite ordered set of linguistic values. Quantitative enrichment is less precise than qualitative enrichment, b...

• Type: Journal
• Year: 2007
• Where: CORR
• Authors: Xinde Li, Xinhan Huang, Florentin Smarandache, Jean Dezert
• Keywords: CORR 2007, Education, Linguistic Labels, Operators, Qualitative Belief Functions