On some classes of directionally monotone functions
Date
2020Author
Version
Acceso abierto / Sarbide irekia
Type
Artículo / Artikulua
Version
Versión aceptada / Onetsi den bertsioa
Project Identifier
ES/1PE/TIN2016-77356-P ES/2PE/TIN2017-87600-P ES/1PE/TIN2014-59543-P
Impact
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10.1016/j.fss.2019.01.024
Abstract
In this work we consider some classes of functions with relaxed monotonicity conditions generalizing some other given classes of fusion functions. In particular, directionally increasing aggregation functions (called also pre-aggregation functions), directionally increasing conjunctors, or directionally increasing implications, etc., generalize the standard classes of aggregation functions, conju ...
[++]
In this work we consider some classes of functions with relaxed monotonicity conditions generalizing some other given classes of fusion functions. In particular, directionally increasing aggregation functions (called also pre-aggregation functions), directionally increasing conjunctors, or directionally increasing implications, etc., generalize the standard classes of aggregation functions, conjunctors, or implication functions, respectively. We analyze different properties of these classes of functions and we discuss a construction method in terms of linear combinations of t-norms. [--]
Subject
Directional monotonicity,
Classes of directionally increasing functions,
Pre-aggregation functions
Publisher
Elsevier
Published in
Fuzzy Sets and Systems, 2020, 386, 161-178
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. ISC - Institute of Smart Cities
Publisher version
Sponsorship
H. Bustince and J. Fernandez were supported by research project TIN2016-77356-P of the Spanish Government. G. Dimuro was supported by CNPq/Brazil Proc.305882/2016-3. R. Mesiar was supported by the project APVV14-0013 and by the project of Grant Agency of the Czech Republic (GACR) no. 18-06915S. A. Kolesárová was supported by the project VEGA 1/0614/18. I. Díaz was supported by research project TIN2017-87600-P of the Spanish Government. S. Montes was supported by research project TIN2014-59543-P of the Spanish Government.