Susanne Saminger, Ulrich Bodenhofer, Erich Klement, Radko Mesiar,
"Aggregation of fuzzy relations and preservation of transitivity"
, in H. C. M. de Swart, E. Orlowska, M. Roubens, G. Schmidt: Theory and Applications of Relational Structures as Knowledge Instruments II, Serie Lecture Notes in Computer Science, Nummer 4342, Springer-Verlag, Berlin Heidelberg, Seite(n) 185-206, 2006
Aggregation of fuzzy relations and preservation of transitivity
Sprache des Titels:
Theory and Applications of Relational Structures as Knowledge Instruments II
This contribution provides a comprehensive overview on the
theoretical framework of aggregating fuzzy relations under the premise of preserving underlying transitivity conditions. As such it discusses the related property of dominance of aggregation operators. After a thorough
introduction of all necessary and basic properties of aggregation operators, in particular dominance, the close relationship between ag$gregating fuzzy relations and dominance is shown. Further, principles of building dominating aggregation operators as well as classes of aggregation operators dominating one of the basic t-norms are addressed. In the paper by Bodenhofer, Küng and Saminger, also in this volume, the interested reader ﬁnds an elaborated (real world) example, i.e., an application of
the herein contained theoretical framework.