D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 69 Citations 17,854 543 World Ranking 138 National Ranking 1

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algebra
  • Discrete mathematics

His scientific interests lie mostly in Discrete mathematics, Fuzzy set, Pure mathematics, Algebra and Fuzzy logic. The study incorporates disciplines such as Combinatorics, Sugeno integral, Choquet integral, Bounded function and Copula in addition to Discrete mathematics. His Fuzzy set study also includes

  • Series, which have a strong connection to Parameterized complexity,
  • Representation together with Theoretical computer science.

His Pure mathematics research incorporates elements of Context and Unit square, Mathematical analysis, Monotonic function. His work on Commutative property as part of general Algebra research is frequently linked to Position paper, thereby connecting diverse disciplines of science. His Fuzzy logic research integrates issues from Norm, Type, Transitive relation and Associative property.

His most cited work include:

  • Aggregation operators: properties, classes and construction methods (501 citations)
  • ”Aggregation Functions”, Cambridge University Press (443 citations)
  • Aggregation operators: new trends and applications (436 citations)

What are the main themes of his work throughout his whole career to date?

His scientific interests lie mostly in Discrete mathematics, Pure mathematics, Fuzzy logic, Algebra and Fuzzy set. His research in Discrete mathematics intersects with topics in Combinatorics, Measure, Class, Choquet integral and Function. His Choquet integral research focuses on subjects like Sugeno integral, which are linked to Applied mathematics.

His research integrates issues of Copula and Generalization, Mathematical analysis, Monotonic function in his study of Pure mathematics. His Fuzzy logic research is under the purview of Artificial intelligence. In most of his Fuzzy set studies, his work intersects topics such as Mathematical optimization.

He most often published in these fields:

  • Discrete mathematics (36.80%)
  • Pure mathematics (31.19%)
  • Fuzzy logic (20.52%)

What were the highlights of his more recent work (between 2018-2021)?

  • Pure mathematics (31.19%)
  • Monotonic function (10.12%)
  • Choquet integral (14.23%)

In recent papers he was focusing on the following fields of study:

Radko Mesiar focuses on Pure mathematics, Monotonic function, Choquet integral, Applied mathematics and Fuzzy logic. His Pure mathematics research includes themes of Space, Class, Bounded function, Function and Generalization. His Generalization research is multidisciplinary, incorporating perspectives in Measure, Representation, Algebra and Boundary value problem.

His Monotonic function research includes elements of Point, Pointwise and Relaxation. His study brings together the fields of Sugeno integral and Applied mathematics. His research is interdisciplinary, bridging the disciplines of Mathematical optimization and Fuzzy logic.

Between 2018 and 2021, his most popular works were:

  • The state-of-art of the generalizations of the Choquet integral: From aggregation and pre-aggregation to ordered directionally monotone functions (27 citations)
  • Melting Probability Measure With OWA Operator to Generate Fuzzy Measure: The Crescent Method (26 citations)
  • A special class of fuzzy measures: Choquet integral and applications (22 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Artificial intelligence
  • Statistics

His primary areas of investigation include Pure mathematics, Choquet integral, Generalization, Monotonic function and Bounded function. His work deals with themes such as Cover, Space, Special case, Function and Copula, which intersect with Pure mathematics. In his study, which falls under the umbrella issue of Copula, Transformation and Fuzzy set is strongly linked to Binary number.

His study in Choquet integral is interdisciplinary in nature, drawing from both Discrete mathematics, Management and Equivalence. He studies Permutation, a branch of Discrete mathematics. His work on Bounded lattice as part of general Bounded function research is often related to Minkowski space, thus linking different fields of science.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Aggregation operators: new trends and applications

Tomasa Calvo;Gaspar Mayor;Radko Mesiar.
(2002)

761 Citations

”Aggregation Functions”, Cambridge University Press

M. Grabisch;J.-L. Marichal;R. Mesiar;E. Pap.
international symposium on intelligent systems and informatics (2008)

691 Citations

Aggregation operators: properties, classes and construction methods

Tomasa Calvo;Anna Kolesárová;Magda Komorníková;Radko Mesiar.
Aggregation operators (2002)

679 Citations

Aggregation functions: Means

Michel Grabisch;Jean-Luc Marichal;Radko Mesiar;Endre Pap.
Information Sciences (2011)

425 Citations

Fuzzy Interval Analysis

Didier Dubois;Etienne Kerre;Radko Mesiar;Henri Prade.
(2000)

368 Citations

Triangular norms. Position paper I: basic analytical and algebraic properties

Erich Peter Klement;Radko Mesiar;Endre Pap.
Fuzzy Sets and Systems (2004)

357 Citations

A Universal Integral as Common Frame for Choquet and Sugeno Integral

E.P. Klement;R. Mesiar;E. Pap.
IEEE Transactions on Fuzzy Systems (2010)

294 Citations

CHAPTER 33 – Monotone Set Functions-Based Integrals

Pietro Benvenuti;Radko Mesiar;Doretta Vivona.
Handbook of Measure Theory (2002)

278 Citations

Triangular norms on product lattices

Bernard De Baets;Radko Mesiar.
Fuzzy Sets and Systems (1999)

277 Citations

Generation of linear orders for intervals by means of aggregation functions

H. Bustince;J. Fernandez;A. KolesáRová;R. Mesiar.
Fuzzy Sets and Systems (2013)

266 Citations

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