On Idempotent Discrete Uninorms - Inria - Institut national de recherche en sciences et technologies du numérique
Communication Dans Un Congrès Année : 2017

On Idempotent Discrete Uninorms

Résumé

In this paper we provide two axiomatizations of the class of idempotent discrete uninorms as conservative binary operations, where an operation is conservative if it always outputs one of its input values. More precisely we first show that the idempotent discrete uninorms are exactly those operations that are conservative, symmetric, and nondecreasing in each variable. Then we show that, in this characterization , symmetry can be replaced with both bisymmetry and existence of a neutral element.
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Dates et versions

hal-01551089 , version 1 (30-06-2017)

Identifiants

Citer

Miguel Couceiro, Jimmy Devillet, Jean-Luc Marichal. On Idempotent Discrete Uninorms. International Summer School on Aggregation Operators, Jun 2017, Skövde, Sweden. pp.147 - 153, ⟨10.1007/978-3-319-59306-7_15⟩. ⟨hal-01551089⟩
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