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Description and properties of curve-based monotone functions
(Springer, 2019)
info:eu-repo/semantics/conferenceObject,
Curve-based monotonicity is one of the lately introduced relaxations of monotonicity. As directional monotonicity regards monotonicity along fixed rays, which are given by real vectors, curve-based monotonicity studies the ...
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 ...
Directions of directional, ordered directional and strengthened ordered directional increasingness of linear and ordered linear fusion operators
(IEEE, 2019)
info:eu-repo/semantics/conferenceObject,
In this work we discuss the forms of monotonicity that have been recently introduced to relax the monotonicity condition in the definition of aggregation functions. We focus on directional, ordered directional and strengthened ...
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 ...