On some classes of directionally monotone functions

Humberto Bustince, Radko Mesiar, Anna Kolesárová, Graçaliz Pereira Dimuro, Javier Fernández, Irene Dı́az, Susana Montes

Type: Article

Publication Date: 2019-02-13

Citations: 22

DOI: https://doi.org/10.1016/j.fss.2019.01.024

View Publication

Download PDF

Locations

Fuzzy Sets and Systems - View
Consultation of the Doctoral Thesis Database (TESEO) (Ministerio de Educación, Cultura y Deporte) - View - PDF
Academica-e (Universidad Pública de Navarra) - View - PDF

Similar Works

Action	Title	Year	Authors
+	About directionally monotone and pre-aggregation functions	2017	Laura De Miguel Humberto Bustince Javier Fernández Maria José Asiáin Anna Kolesárová Radko Mesiar
+ PDF Chat	Strengthened Ordered Directional and Other Generalizations of Monotonicity for Aggregation Functions	2018	Mikel Sesma‐Sara Laura De Miguel Julio Lafuente Edurne Barrenechea Radko Mesiar Humberto Bustince
+	Fusion Functions and Directional Monotonicity	2014	Humberto Bustince Javier Fernández Anna Kolesárová Radko Mesiar
+	A proposal of the notions of ordered and strengthened ordered directional monotonicity for interval-valued functions based on admissible orders	2020	Mikel Sesma‐Sara Radko Mesiar Javier Fernández Zdenko Takáč Humberto Bustince
+ PDF Chat	Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity	2018	Mikel Sesma‐Sara Julio Lafuente Antonio Francisco Roldán López de Hierro Radko Mesiar Humberto Bustince
+ PDF Chat	Local Properties of Strengthened Ordered Directional and Other Forms of Monotonicity	2019	Mikel Sesma‐Sara Laura De Miguel Radko Mesiar Javier Fernández Humberto Bustince
+	Directional monotonicity of fusion functions	2015	Humberto Bustince Javier Fernández Anna Kolesárová Radko Mesiar
+	Interval-valued pre-aggregation functions: a study of directional monotonicity of interval-valued functions	2019	Mikel Sesma‐Sara Laura De Miguel Radko Mesiar Javier Fernández Humberto Bustince
+	Some properties and construction methods for ordered directionally monotone functions	2017	Mikel Sesma‐Sara C. Marco-Detchart Humberto Bustince Edurne Barrenechea Julio Lafuente Anna Kolesárová Radko Mesiar
+	Directional monotonicity of multidimensional fusion functions with respect to admissible orders	2023	Mikel Sesma‐Sara Humberto Bustince Radko Mesiar
+	Ordered Directionally Monotone Functions: Justification and Application	2017	Humberto Bustince Edurne Barrenechea Mikel Sesma‐Sara Julio Lafuente Graçaliz Pereira Dimuro Radko Mesiar Anna Kolesárová
+ PDF Chat	Weak and directional monotonicity of functions on Riesz spaces to fuse uncertain data	2019	Mikel Sesma‐Sara Radko Mesiar Humberto Bustince
+	The Notion of Pre-aggregation Function	2015	Giancarlo Lucca José Sanz Graçaliz Pereira Dimuro Benjamín Bedregal Radko Mesiar Anna Kolesárová Humberto Bustince
+	Maximal directions of monotonicity of an aggregation function	2021	Bernard De Baets H. De Meyer
+	NEW RESULTS ON PRE-AGGREGATION FUNCTIONS	2016	Graçaliz Pereira Dimuro Benjamín Bedregal Humberto Bustince Javier Fernández Giancarlo Lucca Radko Mesiar
+	On the existence of aggregation functions with given super-additive and sub-additive transformations	2016	Alexandra Šipošová Ladislav Šipeky Jozef Širáň
+	On the existence of aggregation functions with given super-additive and sub-additive transformations	2016	Alexandra Šipošová Ladislav Šipeky Jozef Širáň‬
+	Aggregation functions in fuzzy set theory: History and some recent advances	2018	Radko Mesiar Anna Kolesárová
+	Aggregation operators	2000	Erich Peter Klement Radko Mesiar Endre Pap
+ PDF Chat	Aggregation functions: Construction methods, conjunctive, disjunctive and mixed classes	2010	Michel Grabisch Jean‐Luc Marichal Radko Mesiar Endre Pap

Works That Cite This (11)

Action	Title	Year	Authors
+	Directional monotonicity of multidimensional fusion functions with respect to admissible orders	2023	Mikel Sesma‐Sara Humberto Bustince Radko Mesiar
+	New results on directionally monotone quasi-grouping functions and their applications in classification problems	2023	Junsheng Qiao Tengbiao Li
+	On <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mover accent="true"><mml:mrow><mml:mi>r</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">→</mml:mo></mml:mrow></mml:mover></mml:math>-Sheffer strokes: A new class of directionally monotone functions	2024	Yifan Zhao Huawen Liu
+	RETRACTED: Interval-valued pre-(quasi-)grouping functions and its application in constructing interval-valued directional monotonic fuzzy implications	2024	Peng Yu Huxiong Song Hui Liu
+	Negations and dual aggregation functions on arbitrary closed real intervals	2022	Tiago da Cruz Asmus Graçaliz Pereira Dimuro Benjamín Bedregal Iosu Rodríguez-Martínes Javier Fernández Humberto Bustince
+ PDF Chat	Applying d-XChoquet integrals in classification problems	2022	Jonata Wieczynski Giancarlo Lucca Eduardo Nunes Borges Leonardo Ramos Emmendörfer Mikel Ferrero-Jaurrieta Graçaliz Pereira Dimuro Humberto Bustince
+ PDF Chat	d-XC Integrals: On the Generalization of the Expanded Form of the Choquet Integral by Restricted Dissimilarity Functions and Their Applications	2022	Jonata Wieczynski Javier Fumanal-Idocin Giancarlo Lucca Eduardo Nunes Borges Tiago da Cruz Asmus Leonardo Ramos Emmendörfer Humberto Bustince Graçaliz Pereira Dimuro
+	A methodology for controlling the information quality in interval-valued fusion processes: Theory and application	2022	Tiago da Cruz Asmus José Sanz Graçaliz Pereira Dimuro Javier Fernández Radko Mesiar Humberto Bustince
+	Directional monotonic fuzzy implication functions induced from directional increasing quasi-grouping functions	2022	Junsheng Qiao
+	On $\vec{r}$-(Quasi-)Overlap Functions	2020	Junsheng Qiao Zengtai Gong

Works Cited by This (14)

Action	Title	Year	Authors
+	Aggregation Operators: Properties, Classes and Construction Methods	2002	Tomasa Calvo Anna Kolesárová Magda Komorníková Radko Mesiar
+	Three types of monotonicity of averaging functions	2014	Gleb Beliakov Tomasa Calvo Tim Wilkin
+	New results on overlap and grouping functions	2013	Benjamín Bedregal Graçaliz Pereira Dimuro Humberto Bustince Edurne Barrenechea
+	Directional monotonicity of fusion functions	2015	Humberto Bustince Javier Fernández Anna Kolesárová Radko Mesiar
+	An Introduction to Copulas	1999	Roger B. Nelsen
+	Weakly Monotonic Averaging Functions	2014	Tim Wilkin Gleb Beliakov
+	The 2017 IEEE International Conference on Fuzzy Systems	2016
+	Fusion functions based discrete Choquet-like integrals	2016	Radko Mesiar Anna Kolesárová Humberto Bustince Graçaliz Pereira Dimuro Benjamín Bedregal
+	On the Structure of Semigroups on a Compact Manifold With Boundary	1957	Paul S. Mostert Allen Shields
+	NEW RESULTS ON PRE-AGGREGATION FUNCTIONS	2016	Graçaliz Pereira Dimuro Benjamín Bedregal Humberto Bustince Javier Fernández Giancarlo Lucca Radko Mesiar