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Fuzzification of Aggregation Operators Based on Choquet Integral
operators representing special cases of the Choquet integral ? the weighted average and the ordered weighted average (OWA). The first level of fuzzification means that only averages are described and illu...
BB - Aplikovaná statistika, operační výzkum
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Fuzzification of Aggregation Operators Based on Choquet Integral
operators representing special cases of the Choquet integral ? the weighted average and the ordered weighted average (OWA). The first level of fuzzification means that only averages are described and illu...
BB - Aplikovaná statistika, operační výzkum
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Superconvergence by the Steklov averaging in the finite element method
We prove that the Steklov averaging operator yields superconvergence of the gradient of linear finite elements for solving elliptic problems......
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Generalizations of OWA Operators
OWA operators can be seen as symmetrized weighted arithmetic means, as Choquet integrals with respect to symmetric measures, or as comonotone additive functionals. Following these three different looks on OWAs, we discuss several al...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Weighted estimates for the averaging integral operator and reverse Hölder inequalities
We show that the boundedness of the averaging operator A on the space Lp(v) implies that, for all r>0, the weight v(1-p) satisfies the reverse Hölder inequality over the interval (0,r) with respect to the measure dt, while the weigh...
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
The averaging integral operator between weighted Lebesgue spaces and reverse Hölder inequalities
that the operator ... if and only if the operator ... Second, we show that the boundedness of the averaging operator A on the space Lp((0, +); v) implies that, for all r > 0, the weight obtain that the boundedness...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Measure-based aggregation operators
In analogy to the representation of the standard probabilistic average, generalizing Imaoka's integral based on copulas. Several properties of such aggregation operators are investigated, and the relationship with distingui...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The ordered modular averages
Ordered modular averages (OMAs) generalize ordered weighted averages operators modularity. Each OMA can be seen also as a copula-based integral with respect to a symmetric capacity. Special OMAs are characterized, ...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Fuzzification of Choquet Integral and its application in multiple criteria decision making
, the Choquet integral, a generalization of the aforementioned operators, can be used even of a large family of aggregation operators is used. Many of these operators commonly employed in decision making (weighted ...
BB - Aplikovaná statistika, operační výzkum
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Bipolar ordered weighted averages: BIOWA operators
OWA operators were introduced by Yager and their Choquet integral-based representation was shown by Grabisch. Based on bi-capacities and related Choquet integral introduced by Grabisch and Labreuche, a new generalization of...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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