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Characterizations of idempotent discrete uninorms (1701.07253v2)
Published 25 Jan 2017 in math.RA and cs.DM
Abstract: In this paper we provide an axiomatic characterization of the idempotent discrete uninorms by means of three conditions only: conservativeness, symmetry, and nondecreasing monotonicity. We also provide an alternative characterization involving the bisymmetry property. Finally, we provide a graphical characterization of these operations in terms of their contour plots, and we mention a few open questions for further research.
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