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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 ...
Generalized forms of monotonicity in the data aggregation framework
(2019)
info:eu-repo/semantics/doctoralThesis,
El proceso de agregación trata el problema de combinar una colección de valores numéricos
en un único valor que los represente y las funciones encargadas de esta operación se denominan
funciones de agregación. A las ...
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 ...
The law of O-conditionality for fuzzy implications constructed from overlap and grouping functions
(Elsevier, 2019)
info:eu-repo/semantics/article,
Overlap and grouping functions are special kinds of non necessarily associative aggregation operators proposed for many applications, mainly when the associativity property is not strongly required. The classes of overlap ...
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 ...
Weak and directional monotonicity of functions on Riesz spaces to fuse uncertain data
(Elsevier B.V., 2019)
info:eu-repo/semantics/article,
In the theory of aggregation, there is a trend towards the relaxation of the axiom of monotonicity and also towards the extension of the definition to other domains besides real numbers. In this work, we join both approaches ...
Local properties of strengthened ordered directional and other forms of monotonicity
(Springer, 2019)
info:eu-repo/semantics/conferenceObject,
In this study we discuss some of the recent generalized forms of monotonicity, introduced in the attempt of relaxing the monotonicity condition of aggregation
functions. Specifically, we deal with weak, directional, ordered ...