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math.RA2008★ 2 cited
Representations and characterizations of polynomial functions on chains
Miguel Couceiro, Jean-Luc Marichal
We are interested in representations and characterizations of lattice polynomial functions f:L^n -> L, where L is a given bounded distributive lattice. In companion papers [arXiv 0…
math.RA2008
Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices
Miguel Couceiro, Jean-Luc Marichal
We give several characterizations of discrete Sugeno integrals over bounded distributive lattices, as particular cases of lattice polynomial functions, that is, functions which can…