On the Relation Between Two Approaches to Combining Evidence: Ordered Abelian Groups and Uninorms

Authors

Ronald R. Yager
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

3-2003

Comments

UTEP-00-33a.

Published in Journal of Intelligent and Fuzzy Systems, 2003, Vol. 14, No. 1, pp. 7-12.

Abstract

In this paper, we develop a relationship between two approaches to combining evidence: the Ordered Abelian Group (OAG) approach and the uninorm approach. We show that while there exist uninorms that are not extended OAG's it turns out that for operations which are continuous (in some reasonable sense), these two approaches coincide.