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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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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.
Gaspar Mayor, Javier Martín
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Aggregates as Meta Functions

2002
OLAP operations have been widely accepted as a suitable method for decision support by data analysis. Among others, roll-up and drill-down are practically implemented by using database operations. However, we cannot define them as inverses of each other since they assume how to manage materialized views.
Shingo Kashikawa   +3 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.
Zhao Zhang, Zeshui Xu
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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
Stephen C. Hora   +3 more
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Aggregation of Quasiconcave Functions

2010
Aggregation of information is important in many fields, ranging from engineering and economics to artificial intelligence and decision making processes. Aggregation refers to the process of combining a number of values into a single value so that the final result of aggregation takes into account, in a given form, all individual values under ...
Jaroslav Ramík, Milan Vlach
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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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Aggregation functions given by polynomial functions

2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2017
In this paper aggregation functions whose expressions are given by polynomial functions are investigated. A detailed study focused on binary polynomial aggregation functions of degree one and two is given not only in general, but also requiring some additional properties like idempotency, commutativity, associativity, one-side neutral (or absorbing ...
Sebastia Massanet   +2 more
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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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The Existence of Input and Output Aggregates in Aggregate Production Functions

Econometrica, 1988
Summary: It is well-known that capital can be aggregated in an economy only under very restrictive conditions. What is not so widely understood is that these same problems exist when aggregating goods that are efficiently allocated in an economy. For example, suppose there are many types of labor in an economy and each type of labor is efficiently ...
Blackorby, Charles, Schworm, William
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