Measure-based aggregation operators

Erich Klement; Radko Mesiar; Endre Pap

doi:10.1016/j.fss.2003.10.028

Measure-based aggregation operators

Erich Klement, Radko Mesiar, Endre Pap

Institute for Mathematical Methods in Medicine and Data Based Modeling

Research output: Contribution to journal › Article › peer-review

Abstract

In analogy to the representation of the standard probabilistic average as an expected value of a random variable, a geometric approach to aggregation is proposed. Several properties of such aggregation operators are investigated, and the relationship with distinguished classes of aggregation operators is discussed.

Original language	English
Pages (from-to)	3-14
Number of pages	12
Journal	Fuzzy Sets and Systems
Volume	142
Issue number	1
DOIs	https://doi.org/10.1016/j.fss.2003.10.028
Publication status	Published - 16 Feb 2004

Fields of science

101 Mathematics
101004 Biomathematics
101027 Dynamical systems
101013 Mathematical logic
101028 Mathematical modelling
101014 Numerical mathematics
101020 Technical mathematics
101024 Probability theory
102001 Artificial intelligence
102003 Image processing
102009 Computer simulation
102019 Machine learning
102023 Supercomputing
202027 Mechatronics
206001 Biomedical engineering
206003 Medical physics
102035 Data science

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10.1016/j.fss.2003.10.028

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abstract = "In analogy to the representation of the standard probabilistic average as an expected value of a random variable, a geometric approach to aggregation is proposed. Several properties of such aggregation operators are investigated, and the relationship with distinguished classes of aggregation operators is discussed.",

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AB - In analogy to the representation of the standard probabilistic average as an expected value of a random variable, a geometric approach to aggregation is proposed. Several properties of such aggregation operators are investigated, and the relationship with distinguished classes of aggregation operators is discussed.

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Measure-based aggregation operators

Abstract

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