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Invariant Aggregation and Pre-aggregation Functions

2021
In 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, 1999
We 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, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mesiar, Radko, Kolesárová, Anna
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Conic aggregation functions

Fuzzy Sets and Systems, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jwaid, T.   +3 more
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Biconic aggregation functions

Information Sciences, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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, 2002
The 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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Ultramodular aggregation functions

Information Sciences, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Klement E. P.   +2 more
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Analysis on Aggregation Function Spaces

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2014
In many decision-making problems, different methods usually yield different results. In this paper, we study all possible rankings of alternatives produced by applying a set of aggregation functions on a decision matrix. Those possible rankings depend on the aggregation functions that we use and the structures of the decision matrix.
Zhang, Zhao, Xu, Zeshui
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On Order Invariant Aggregation Functionals

Journal of Mathematical Psychology, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ovchinnikov, Sergei, Dukhovny, Alexander
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Median Aggregation of Distribution Functions

Decision Analysis, 2013
When multiple redundant probabilistic judgments are obtained from subject matter experts, it is common practice to aggregate their differing views into a single probability or distribution. Although many methods have been proposed for mathematical aggregation, no single procedure has gained universal acceptance. The most widely used procedure is simple
Hora, Stephen C.   +3 more
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