Fusion of qualitative beliefs using DSmT

Florentin Smarandache Department of Mathematics University of New Mexico Gallup, NM 87301, U.S.A. [email protected] Jean Dezert ONERA 29 Av. de la Division Leclerc 92320 Châtillon, France. [email protected] Abstract – This paper introduces the notion of qualitative belief assignment to model beliefs of human experts expressed in natural language (with linguistic labels). We show how qualitative beliefs can be efficiently combined using an extension of Dezert-Smarandache Theory (DSmT) of plausible and paradoxical quantitative reasoning to qualitative reasoning. We propose a new arithmetic on linguistic labels which allows a direct extension of classical DSm fusion rule or DSm Hybrid rules. An approximate qualitative PCR5 rule is also proposed jointly with a Qualitative Average Operator. We also show how crisp or interval mappings can be used to deal indirectly with linguistic labels. A very simple example is provided to illustrate our qualitative fusion rules.