On the relation between two approaches to combining evidence: Ordered Abelian Groups and uninorms

Article type: Research Article

Authors: Yager, Ronald R. | Kreinovich, Vladik

Affiliations: Machine Intelligence Institute, Iona College, 715 North Avenue, New Rochelle, NY 10801-1890, USA. E-mail: yager@panix.com | Department of Computer Science, University of Texas at El Paso, El Paso, TX 79968, USA. E-mail: vladik@cs.utep.edu

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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.

Journal: Journal of Intelligent & Fuzzy Systems, vol. 14, no. 1, pp. 7-12, 2003