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- Bernard De Baets, Andrea Stupnanová
- Fuzzy Sets and Systems
- 1997

- Andrea Stupnanová
- Kybernetika
- 2000

We study the following problem: If ξ1, ξ2, . . . are fuzzy numbers with modal values M1, M2, . . . , then what is the strongest t-norm for which lim n→∞ Nes ( mn − ≤ ξ1 + · · · + ξn n ≤ mn + ) = 1, for any > 0, where mn = M1 + · · · + Mn n , the arithmetic mean ξ1 + · · · + ξn n is defined via sup-t-norm convolution and Nes denotes necessity.

- Radko Mesiar, Andrea Stupnanová, Ronald R. Yager
- IEEE Trans. Fuzzy Systems
- 2015

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 OWA’s, we discuss several already known generalizations of OWA operators, including GOWA, IOWA, OMA operators, as well as we propose new types of such… (More)

- Anna Kolesárová, Andrea Stupnanová, Juliana Beganová
- Fuzzy Sets and Systems
- 2012

- Erich-Peter Klement, Radko Mesiar, Fabio Spizzichino, Andrea Stupnanová
- FO & DM
- 2014

A hierarchical family of integrals based on a fixed copula is introduced and discussed. The extremal members of this family correspond to the inner and outer extension of integrals of basic functions, the copula under consideration being the corresponding multiplication. The limits of the members of the family are just copulabased universal integrals as… (More)

- Erich-Peter Klement, Anna Kolesárová, Radko Mesiar, Andrea Stupnanová
- Knowl.-Based Syst.
- 2013

- Andrea Stupnanová
- Fuzzy Sets and Systems
- 1997

- Erich-Peter Klement, Anna Kolesárová, Radko Mesiar, Andrea Stupnanová
- IFSA/EUSFLAT Conf.
- 2009

Three different types of universal integral based on level dependent capacities are introduced and discussed. Two extremal types are based on Caratheodory’s idea of inner and outer measures, while the third type is introduced for copula-based universal integrals only. Keywords—Choquet integral, Copula, Fuzzy measure, Level dependent capacities, Sugeno… (More)

- Erich-Peter Klement, Anna Kolesárová, Radko Mesiar, Andrea Stupnanová
- International Journal of Uncertainty, Fuzziness…
- 2010

The stability of discrete universal integrals based on copulas is discussed and examined, both with respect to the norms L1 (Lipschitz stability) and L∞ (Chebyshev stability). Each of these integrals is shown to be 1-Lipschitz. Exactly the discrete universal integrals based on a copula which is stochastically increasing in its first coordinate turn out to… (More)

- Erich-Peter Klement, Fabio Spizzichino, Radko Mesiar, Andrea Stupnanová
- FUZZ-IEEE
- 2013