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Dominance in the family of Sugeno-Weber t-norms |
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| Authors: | Manuel Kauers |
| Affiliation: | a Research Institute for Symbolic Computation, Johannes Kepler University Linz, Altenbergerstrasse 69, A-4040 Linz, Austria b Department of Knowledge-Based Mathematical Systems, Johannes Kepler University Linz, Altenbergerstrasse 69, A-4040 Linz, Austria |
| 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. |
| Keywords: | Dominance Triangular norms Fuzzy connectives and aggregation operators Cylindrical algebraic decomposition Mathematics |
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