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- Erich Peter Klement

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
49
Citations
7,405
178
World Ranking
851
National Ranking
13

- Artificial intelligence
- Mathematical analysis
- Algebra

His scientific interests lie mostly in Discrete mathematics, Fuzzy logic, Fuzzy set, Algebra and Norm. His Discrete mathematics research incorporates themes from Multiplicative function, Fuzzy number, Fuzzy measure theory, Choquet integral and Applied mathematics. As part of the same scientific family, Erich Peter Klement usually focuses on Fuzzy number, concentrating on Fuzzy set operations and intersecting with Defuzzification.

His research investigates the connection between Fuzzy logic and topics such as Theoretical computer science that intersect with problems in Logical connective, Norm and Mathematical logic. He interconnects Parameterized complexity, Representation, Series and Pure mathematics in the investigation of issues within Fuzzy set. In general Algebra study, his work on Binary operation often relates to the realm of Position paper, thereby connecting several areas of interest.

- Limit Theorems for Fuzzy Random Variables (288 citations)
- A Universal Integral as Common Frame for Choquet and Sugeno Integral (248 citations)
- Triangular Norm-Based Measures and Games with Fuzzy Coalitions (240 citations)

His main research concerns Discrete mathematics, Fuzzy logic, Fuzzy set, Algebra and Pure mathematics. His research integrates issues of Fuzzy number, T-norm, Fuzzy measure theory and Choquet integral in his study of Discrete mathematics. His research brings together the fields of Norm and Fuzzy logic.

His studies in Fuzzy set integrate themes in fields like Algorithm and Fuzzy control system. Erich Peter Klement studies Algebra, focusing on Algebraic number in particular. His research in Pure mathematics intersects with topics in Copula and Mathematical analysis.

- Discrete mathematics (34.69%)
- Fuzzy logic (27.04%)
- Fuzzy set (22.96%)

- Copula (12.76%)
- Evolutionary algorithm (4.08%)
- Fuzzy set (22.96%)

Erich Peter Klement spends much of his time researching Copula, Evolutionary algorithm, Fuzzy set, Pure mathematics and Evolutionary computation. The concepts of his Copula study are interwoven with issues in Bivariate analysis, Sugeno integral and Multiple integral. His Fuzzy set study is concerned with Fuzzy logic in general.

His study in Fuzzy logic is interdisciplinary in nature, drawing from both Discrete mathematics, Sketch, Mathematics education and Greatest element. The Discrete mathematics study combines topics in areas such as Choquet integral, Pointwise convergence and Strongly monotone. In the subject of general Pure mathematics, his work in Lipschitz continuity is often linked to Convexity, thereby combining diverse domains of study.

- Hybridization of multi-objective evolutionary algorithms and artificial neural networks for optimizing the performance of electrical drives (67 citations)
- Integrals based on monotone set functions (51 citations)
- Fault detection in reciprocating compressor valves under varying load conditions (50 citations)

- Mathematical analysis
- Artificial intelligence
- Real number

Erich Peter Klement mostly deals with Evolutionary algorithm, Artificial intelligence, Evolutionary computation, Discrete mathematics and Machine learning. In his study, Optimization problem is strongly linked to Pareto principle, which falls under the umbrella field of Evolutionary algorithm. His work on Decision tree as part of general Artificial intelligence research is often related to Set, thus linking different fields of science.

His Discrete mathematics study combines topics from a wide range of disciplines, such as Sugeno integral, Bernstein's theorem on monotone functions and Multiple integral. His Sugeno integral research is under the purview of Fuzzy logic. The various areas that Erich Peter Klement examines in his Machine learning study include Structure and Visual inspection.

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.

Triangular Norm-Based Measures and Games with Fuzzy Coalitions

Dan Butnariu;Erich Peter Klement.

**(1993)**

465 Citations

Triangular Norm-Based Measures and Games with Fuzzy Coalitions

Dan Butnariu;Erich Peter Klement.

**(1993)**

465 Citations

Limit Theorems for Fuzzy Random Variables

E. P. Klement;M. L. Puri;D. A. Ralescu.

Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences **(1986)**

409 Citations

Limit Theorems for Fuzzy Random Variables

E. P. Klement;M. L. Puri;D. A. Ralescu.

Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences **(1986)**

409 Citations

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

Erich Peter Klement;Radko Mesiar;Endre Pap.

Fuzzy Sets and Systems **(2004)**

377 Citations

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

Erich Peter Klement;Radko Mesiar;Endre Pap.

Fuzzy Sets and Systems **(2004)**

377 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)**

322 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)**

322 Citations

Non-Classical Logics and their Applications to Fuzzy Subsets

Ulrich Höhle;Erich Peter Klement.

**(1995)**

318 Citations

Non-Classical Logics and their Applications to Fuzzy Subsets

Ulrich Höhle;Erich Peter Klement.

**(1995)**

318 Citations

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