References of "International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems"
     in
Bookmark and Share    
Full Text
Peer Reviewed
See detailAxiomatizations of signed discrete Choquet integrals
Cardin, Marta; Couceiro, Miguel UL; Giove, Silvio et al

in International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (2011), 19(2), 193-199

We study the so-called signed discrete Choquet integral (also called non-monotonic discrete Choquet integral) regarded as the Lovász extension of a pseudo-Boolean function which vanishes at the origin. We ... [more ▼]

We study the so-called signed discrete Choquet integral (also called non-monotonic discrete Choquet integral) regarded as the Lovász extension of a pseudo-Boolean function which vanishes at the origin. We present axiomatizations of this generalized Choquet integral, given in terms of certain functional equations, as well as by necessary and sufficient conditions which reveal desirable properties in aggregation theory. [less ▲]

Detailed reference viewed: 45 (2 UL)
Full Text
Peer Reviewed
See detailThe use of the discrete Sugeno integral in decision making: a survey
Dubois, Didier; Marichal, Jean-Luc UL; Prade, Henri et al

in International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (2001), 9(5), 539-561

An overview of the use of the discrete Sugeno integral as either an aggregation tool or a preference functional is presented in the qualitative framework of two decision paradigms: multi-criteria decision ... [more ▼]

An overview of the use of the discrete Sugeno integral as either an aggregation tool or a preference functional is presented in the qualitative framework of two decision paradigms: multi-criteria decision-making and decision-making under uncertainty. The parallelism between the representation theorems in both settings is stressed, even if a basic requirement like the idempotency of the aggregation scheme should be explicitely stated in multi-criteria decision-making, while its counterpart is implicit in decision under uncertainty by equating the utility of a constant act with the utility of its consequence. Important particular cases of Sugeno integrals such as prioritized minimum and maximum operators, their ordered versions, and Boolean max-min functions are studied. [less ▲]

Detailed reference viewed: 56 (3 UL)
Full Text
Peer Reviewed
See detailEntropy of discrete fuzzy measures
Marichal, Jean-Luc UL; Roubens, Marc

in International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (2000), 8(6), 625-640

The concept of entropy of a discrete fuzzy measure has been recently introduced in two different ways. A first definition was proposed by Marichal in the aggregation framework, and a second one by Yager ... [more ▼]

The concept of entropy of a discrete fuzzy measure has been recently introduced in two different ways. A first definition was proposed by Marichal in the aggregation framework, and a second one by Yager in the framework of uncertain variables. We present a comparative study between these two proposals and point out their properties. We also propose a definition for the entropy of an ordinal fuzzy measure, that is, a fuzzy measure taking its values in an ordinal scale in the sense of measurement theory. [less ▲]

Detailed reference viewed: 39 (2 UL)