Dominance in the family of Sugeno--Weber t-norms

Authors:
Manuel Kauers;Veronika Pillwein;Susanne Saminger-Platz
Affiliations:
Research Institute for Symbolic Computation, Johannes Kepler University Linz, Altenbergerstrasse 69, A-4040 Linz, Austria;Research Institute for Symbolic Computation, Johannes Kepler University Linz, Altenbergerstrasse 69, A-4040 Linz, Austria;Department of Knowledge-Based Mathematical Systems, Johannes Kepler University Linz, Altenbergerstrasse 69, A-4040 Linz, Austria
Venue:
Fuzzy Sets and Systems
Year:
2011

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Abstract

The dominance relationship between two members of the family of Sugeno-Weber t-norms is proven by using a quantifier elimination algorithm. Further it is shown that dominance is a transitive, and therefore also an order relation, on this family of t-norms.