31 citations · 57 across the 8 of their papers we have counts for
3 papers · 1 filter
Quasitrivial semigroups: characterizations and enumerations
Miguel Couceiro, Jimmy Devillet, Jean-Luc Marichal
We investigate the class of quasitrivial semigroups and provide various characterizations of the subclass of quasitrivial and commutative semigroups as well as the subclass of quas…
Characterizations of quasitrivial symmetric nondecreasing associative operations
Jimmy Devillet, Gergely Kiss, Jean-Luc Marichal
We provide a description of the class of n-ary operations on an arbitrary chain that are quasitrivial, symmetric, nondecreasing, and associative. We also prove that associativity c…
Characterizations of idempotent discrete uninorms
Miguel Couceiro, Jimmy Devillet, Jean-Luc Marichal
In this paper we provide an axiomatic characterization of the idempotent discrete uninorms by means of three conditions only: conservativeness, symmetry, and nondecreasing monotoni…