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Information Sciences, 2021
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Kolesárová, Anna +2 more
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Kolesárová, Anna +2 more
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2009
Aggregation is the process of combining several numerical values into a single representative value, and an aggregation function performs this operation. These functions arise wherever aggregating information is important: applied and pure mathematics (probability, statistics, decision theory, functional equations), operations research, computer ...
Grabisch, Michel +3 more
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Aggregation is the process of combining several numerical values into a single representative value, and an aggregation function performs this operation. These functions arise wherever aggregating information is important: applied and pure mathematics (probability, statistics, decision theory, functional equations), operations research, computer ...
Grabisch, Michel +3 more
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Invariant Aggregation and Pre-aggregation Functions
2021In this contribution, we introduce special transformations of fusion functions closely related to ratio scale, difference scale and interval scale invariant fusion functions. In particular, we show that in the case of aggregation functions the obtained transforms need not be aggregation functions but they are always pre-aggregation functions.
Anna Kolesárová, Radko Mesiar
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LOCALLY INTERNAL AGGREGATION FUNCTIONS
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1999We introduce the concept of locally internal aggregation function with domain ℝn and values in ℝ, and demonstrate some results which lead to the characterization of such functions.
Mayor, G., Martin, J.
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k-maxitive aggregation functions
Fuzzy Sets and Systems, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mesiar, Radko, Kolesárová, Anna
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Fuzzy Sets and Systems, 2011
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Jwaid, T. +3 more
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Jwaid, T. +3 more
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Information Sciences, 2012
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Jwaid, T., De Baets, B., De Meyer, H.
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Jwaid, T., De Baets, B., De Meyer, H.
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PIECEWISE LINEAR AGGREGATION FUNCTIONS
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2002The Choquet and Sugeno (fuzzy) integrals are examples of piecewise linear functions on a finite dimensional space ℝn. In this paper we consider piecewise linear functions as aggregation functions and establish a Max-Min polynomial representation of these functions.
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