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Aggregation of Quasiconcave Functions
2010Aggregation 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
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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Aggregation functions given by polynomial functions
2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2017In 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, 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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The Existence of Input and Output Aggregates in Aggregate Production Functions
Econometrica, 1988Summary: 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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Invariant continuous aggregation functions
International Journal of General Systems, 2010Continuous aggregation functions, being invariant under any monotone bijective transformation, are discussed and characterised. As a basic tool for this characterisation, self-dual -valued capacities or their counterparts, self-dual monotone Boolean functions, are exploited. A generating role of is discussed.
Andrey G. Bronevich, Radko Mesiar
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OLAP databases and aggregation functions
Proceedings Thirteenth International Conference on Scientific and Statistical Database Management. SSDBM 2001, 2002Aggregation functions are a class of generic functions which must be usable in any database application. We characterize the case where the aggregation functions can be correctly applied on macrodata (data cube) which are computed on the microdata.
Hans-Joachim Lenz, Bernhard Thalheim
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Aggregation Rate for Compressible Functions
Proceedings of the 18th ACM International Symposium on Mobile Ad Hoc Networking and Computing, 2017One of the most fundamental tasks in sensor networks is the computation of a (compressible) aggregation function of the input measurements. What rate of computation can be maintained, by properly choosing the aggregation tree, the TDMA schedule of the tree edges, and the transmission powers? We show here that the optimal rate is effectively a constant.
Magnús M. Halldórsson, Tigran Tonoyan
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Parametric characterization of aggregation functions
Fuzzy Sets and Systems, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anna Kolesárová, Radko Mesiar
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Symmetrization Methods for Aggregation Functions
2017We introduce and discuss the concept of symmetrization methods for aggregation functions. Several symmetrization methods are exemplified. A particular stress is put on extremal symmetrization methods.
Radko Mesiar, Andrea Stupnanová
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