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Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity
(Elsevier, 2019) info:eu-repo/semantics/article,
In this work, we propose a new notion of monotonicity: strengthened ordered directional monotonicity. This generalization of monotonicity is based on directional monotonicity and ordered directional monotonicity, two recent ...
Curve-based monotonicity: a generalization of directional monotonicity
(Taylor & Francis, 2019) info:eu-repo/semantics/article,
In this work we propose a generalization of the notion of directional monotonicity. Instead of considering increasingness or decreasingness along rays, we allow more general paths defined by curves in the n-dimensional ...