2026 Jean-Luc Marichal: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	34	2873	2566	3	3	220	6695

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

2873

2566

220

6695

Overview

Jean-Luc Marichal is affiliated with the University of Luxembourg in Luxembourg and has a research profile primarily situated within the field of Mathematics.

Their work spans several subfields of mathematics, including:

Applied Mathematics
Algebra and Number Theory
Mathematical Physics
Geometry and Topology
Discrete Mathematics and Combinatorics

Marichal's research topics encompass a range of mathematical themes, notably:

Mathematical functions and polynomials
Functional Equations Stability Results
Advanced Mathematical Identities
Mathematical Inequalities and Applications
Mathematical and Theoretical Analysis
Analytic Number Theory Research
History and Theory of Mathematics

The publication record of Jean-Luc Marichal includes several recent papers, highlighting active contributions to mathematical research. These publications are:

"Nonstandard n-distances based on certain geometric constructions," 2022, Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
"Reducibility of n-ary semigroups: from quasitriviality towards idempotency," 2021, Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
"A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions," 2022, Developments in mathematics
"Nonstandard $n$-distances based on certain geometric constructions," 2021, arXiv (Cornell University)
"A generalization of Bohr-Mollerup's theorem for higher order convex functions: a tutorial," 2022, arXiv (Cornell University)

Frequent co-authors in Marichal's research collaborations include:

Naïm Zénaïdi
Gergely Kiss
Miguel Couceiro
Jimmy Devillet
Pierre Mathonet

Marichal's publications appear regularly in certain venues, with the prominent ones being:

arXiv (Cornell University)
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
Developments in mathematics
Aequationes Mathematicae
Journal of Physics Conference Series

Best Publications

An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria

J.-L. Marichal

546
Citations
”Aggregation Functions”, Cambridge University Press

M. Grabisch;J.-L. Marichal;R. Mesiar;E. Pap

466
Citations
Aggregation Functions (Encyclopedia of Mathematics and its Applications)

Michel Grabisch;Jean-Luc Marichal;Radko Mesiar;Endre Pap

466
Citations
Determination of weights of interacting criteria from a reference set

Jean-Luc Marichal;Marc Roubens

383
Citations
Characterization of the ordered weighted averaging operators

J. Fodor;J.-L. Marichal;M. Roubens

366
Citations
Aggregation functions: Means

Michel Grabisch;Jean-Luc Marichal;Radko Mesiar;Endre Pap

319
Citations
Aggregation operators for multicriteria decision aid

Jean-Luc Marichal

312
Citations
Equivalent Representations of Set Functions

Michel Grabisch;Jean-Luc Marichal;Marc Roubens

255
Citations
On Sugeno integral as an aggregation function

Jean-Luc Marichal

246
Citations
The use of the discrete Sugeno integral in decision making: a survey

Didier Dubois;Jean-Luc Marichal;Henri Prade;Marc Roubens

189
Citations
Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices

Katsushige Fujimoto;Ivan Kojadinovic;Jean-Luc Marichal

182
Citations
Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral

Jean-Luc Marichal

179
Citations
Aggregation of interacting criteria by means of the discrete Choquet integral

Jean-Luc Marichal

172
Citations
Aggregation functions: Construction methods, conjunctive, disjunctive and mixed classes

Michel Grabisch;Jean-Luc Marichal;Radko Mesiar;Endre Pap

163
Citations
Entropy of discrete Choquet capacities

Jean-Luc Marichal

159
Citations
An axiomatic approach of the discrete Sugeno integral as a tool to aggregate interacting criteria in a qualitative framework

J.-L. Marichal

130
Citations
k-intolerant capacities and Choquet integrals

Jean-Luc Marichal

117
Citations
Weighted lattice polynomials

Jean-Luc Marichal

117
Citations
The influence of variables on pseudo-Boolean functions with applications to game theory and multicriteria decision making

Jean-Luc Marichal

112
Citations
An axiomatic approach to the definition of the entropy of a discrete Choquet capacity

Ivan Kojadinovic;Jean-Luc Marichal;Marc Roubens

95
Citations
Aggregation Functions: Aggregation on ordinal scales

Michel Grabisch;Jean-Luc Marichal;Radko Mesiar;Endre Pap

0
Citations

Frequent Co-Authors

Michel Grabisch Charles University

Radko Mesiar Slovak University of Technology in Bratislava

Endre Pap Singidunum University

Jorge Navarro University of Murcia

Yves Crama University of Liège

Henri Prade Paul Sabatier University

Didier Dubois Paul Sabatier University

External Links

Personal website of Jean-Luc Marichal

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