Strengthened ordered directional and other generalizations of monotonicity for aggregation functions
Date
2018Author
Version
Acceso abierto / Sarbide irekia
Type
Contribución a congreso / Biltzarrerako ekarpena
Version
Versión aceptada / Onetsi den bertsioa
Project Identifier
ES/1PE/TIN2016-77356-P
Impact
|
10.1007/978-3-319-91476-3_35
Abstract
A tendency in the theory of aggregation functions is the generalization of the monotonicity condition. In this work, we examine the latest developments in terms of different generalizations. In particular, we discuss strengthened ordered directional monotonicity, its relation to other types of monotonicity, such as directional and ordered directional monotonicity and the main properties of the cl ...
[++]
A tendency in the theory of aggregation functions is the generalization of the monotonicity condition. In this work, we examine the latest developments in terms of different generalizations. In particular, we discuss strengthened ordered directional monotonicity, its relation to other types of monotonicity, such as directional and ordered directional monotonicity and the main properties of the class of functions that are strengthened ordered directionally monotone. We also study some construction methods for such functions and provide a characterization of usual monotonicity in terms of these notions of monotonicity. [--]
Subject
Aggregation functions,
Directional monotonicity,
Generalizations of monotonicity,
Strengthened ordered directional monotonicity
Publisher
Springer
Published in
Medina J. et al. (eds): Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations. IPMU 2018.
Serie
Communications in Computer and Information Science /
854
Description
Trabajo presentado a la 17th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2018. Cádiz, junio de 2018
Departament
Universidad Pública de Navarra. Departamento de Estadística, Informática y Matemáticas /
Nafarroako Unibertsitate Publikoa. Estatistika, Informatika eta Matematika Saila /
Universidad Pública de Navarra/Nafarroako Unibertsitate Publikoa. Institute of Smart Cities - ISC
Publisher version
Sponsorship
This work is partially supported by the Research Service of Universidad Pública de Navarra and the grants APVV-14-0013 and TIN2016-77356-P (AEI/FEDER, UE).