Lattice-valued possibilistic measures, conceived and developed in more detail by G.*De Cooman in 1997 [3], enabled to apply the main ideas on which the real-valued possibilistic measures are founded also to the situations often occurring in the real world around, when the degrees of possibility, ascribed to various events charged by uncertainty, are comparable only quantitatively by the relatio...

Removing the condition of symmetry in the notion of a fuzzy (pseudo)metric, in Kramosil and Michalek’s sense, one has the notion of a fuzzy quasi-(pseudo-)metric. Then for each fuzzy quasi-pseudo-metric on a set X we construct a fuzzy quasipseudo-metric on the collection of all nonempty subsets of X, called the Hausdorff fuzzy quasi-pseudo-metric. We investigate several properties of this struc...

In this paper we show that three major classes of topological spaces are domain-representable, i.e., homeomorphic to the space of maximal elements of some domain (=continuous dcpo) with the relative Scott topology. The three classes are: T3 subcompact spaces, strongly α-favorable spaces with a Gδ-diagonal or with a base of countable order, and complete quasi-developable T3-spaces. It follows th...

T . This can now be used to find all patterns in LI(P) with special symmetries (relative to the origin) which is a standard procedure in crystallography. For repetitive, but non-crystallographic P , however, the LI-class has a much richer structure and contains uncountably many (20) translation classes. It is thus much more difficult to classify the complete symmetry structure of such classes, ...

The parameterized synchronous dataflow (PSDF) domain is useful for modeling dataflow systems with reconfiguration. Reconfiguration allows more interesting systems to be modeled without resort to more generalized dataflow models. As such, the PSDF domain represents a design point between complete static scheduling in the synchronous dataflow (SDF) domain, and completely dynamic execution under t...

This paper presents a method to compute the quasi-conformal parameterization (QCMC) for a multiply-connected 2D domain or surface. QCMC computes a quasi-conformal map from a multiply-connected domain S onto a punctured disk DS associated with a given Beltrami differential. The Beltrami differential, which measures the conformality distortion, is a complexvalued function μ : S → C with supremum ...

The formal representation of the quasi-periodic Helmholtz Green’s function obtained by the method of images is only conditionally convergent and, thus, requires an appropriate summation convention for its evaluation. Instead of using this formal sum, we derive a candidate Green’s function as a sum of two rapidly convergent series, one to be applied in the spatial domain and the other in the Fou...