This paper presents an investigation into the relative effectiveness of various score normalisation methods for open-set, textindependent speaker identification. The paper describes the need for score normalisation in this case, and provides a detailed theoretical and experimental analysis of the methods that can be used for this purpose. The experimental investigations are based on the use of ...

Fuzzy integrals are commonly used as aggregation operators. In this paper we present new composite models based on fuzzy integrals with several t-conorms. These models permit to further increase the computational power of the previous models. Basic properties of new composite models are studied. In particular, it is shown that for composite models, the only meaningful case is when not all the t...

Recently, in [4], we have discussed the following distributive equation of implications I(x, T1(y, z)) = T2(I(x, y), I(x, z)) over t-representable t-norms, generated from strict t-norms, in interval-valued fuzzy sets theory. In this work we continue these investigations, but with the assumption that T1 is generated from nilpotent t-norms, while T2 is generated from strict t-norms. As a byproduc...

This second part (out of three) of a series of position papers on triangular norms (for Part I see [43]) deals with general construction methods based on additive and multiplicative generators, and on ordinal sums. Also included are some constructions leading to non-continuous t-norms, and a presentation of some distinguished families of t-norms.

The OWA operators are traditionally used in the context of decision making as the means to aggregate the satisfaction of single criteria into a overall preference index. They belong to the class of averages, entailing compensatory properties. Differently, t-norms and t-conorms entail the reinforcement property, since there is a kind of interaction between the degree of criteria satisfaction. A ...

In this article, we derive approximations and effective boundary laws for solutions uε of the Poisson equation on a domain Ωε ⊂ Rn whose boundary differs from the smooth boundary of a domain Ω ⊂ R n by rapid oscillations of size ε. First, we construct a boundary layer correction which yields an O(ε3/2) approximation in the energy norm, and an O(ε2) approximation in the L2-norm if Ω is bounded. ...

A family of fuzzification schemes is proposed that can be used to transform cardinality-based similarity measures for ordinary sets into similarity measures for fuzzy sets in a finite universe. These schemes are based on the Frank t-norm family and preserve transitivity in the fuzzification process.

Let dν be the metric associated with a strictly positive submeasure ν on some boolean algebra P. If dν is bounded from above by 1, Eν = 1 − dν is a (fuzzy) similarity relation on P at least w.r.t. the Lukasiewicz t-norm, but possibly also w.r.t. numerous further t-norms. In this paper, we show that under certain assumptions on P and ν, we may associate with ν in a natural way a continuous t-nor...

A generalization of bags is proposed and fundamental operations are described. That is, a real-valued bag is proposed which is a straightforward generalization of the traditional bags, but is necessary for complementation, and s-norm and t-norm operations. We mainly describe how complementation and s-norms are related. As a result a duality theorem between s-norm and t-norm is obtained. R-bag r...

Triangular subnorms are associative commutative non-decreasing operations on the unit interval, upper bounded by the minimum. Continuous triangular subnorms are shown to be ordinal sum of Archimedean continuous t-subnorms with at most one proper t-subnorm summand. Special attention is paid to generate continuous t-subnorms. An application of continuous t-subnorms to the construction of left-con...