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The lattice-theoretic structure of the sets of triangular norms and semi-copulas |
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| Authors: | Fabrizio Durante Radko Mesiar Pier Luigi Papini |
| Affiliation: | 1. Department of Knowledge-Based Mathematical Systems, Johannes Kepler University, A-4040 Linz, Austria;2. Department of Mathematics and Descriptive Geometry, Slovak University of Technology, SK-813 68 Bratislava, Slovakia;3. IRAFM, University of Ostrava, CZ-70103 Ostrava, Czech Republic;4. Dipartimento di Matematica, Università di Bologna, I-40126 Bologna, Italy |
| Abstract: | The lattice-theoretic structure of the set of semi-copulas and some of its subsets is investigated. As a relevant case, we obtain that the set of commutative semi-copulas is a lattice completion of the set of triangular norms. |
| Keywords: | Semi-copula Triangular norm Triangular subnorm |
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