# General Combination Rules For Qualitative And Quantitative Beliefs

Arnaud Martin, Christophe Osswald E
3I
2 EA3876 ENSIETA
2 rue Franc¸ois Verny, 29806 Brest Cedex 09, France.

Email:Arnaud.Martin,Christophe.Osswald@ensieta.fr Jean Dezert ONERA
The French Aerospace Lab 29 Av. Division Leclerc, 92320 Chˆatillon, France.

Email:jean.dezert@onera.fr Florentin Smarandache Chair of Math. & Sciences Dept.

University of New Mexico, 200 College Road, Gallup, NM 87301, U.S.A.

Email: smarand@unm.edu

## Abstract

arXiv:0906.5119v1 [cs.AI] 28 Jun 2009 Martin and Osswald [15] have recently proposed many generalizations of combination rules on quantitative beliefs in order to manage the conflict and to consider the specificity of the responses of the experts. Since the experts express themselves usually in natural language with linguistic labels, Smarandache and Dezert [13] have introduced a mathematical framework for dealing directly also with qualitative beliefs. In this paper we recall some element of our previous works and propose the new combination rules, developed for the fusion of both qualitative or quantitative beliefs.

Keywords: Information fusion, belief function theory, qualitative beliefs, conflict management, proportional conflict redistribution rules, DSmT.