— The paper uses the LU-parametric representation of fuzzy numbers and fuzzy-valued functions, to obtain valid approximations of fuzzy generalized derivative and to solve fuzzy differential equations. The main result is that a fuzzy differential initial-value problem can be translated into a system of in nitely many ordinary differential equations and, by the LU-parametric representation, the i...

We introduce a novel parametric representation called ROPN (Random Offset Parametric representation with Noise), which is useful to represent a family of shapes sharing similar complex patterns often being able to be defined with the gradient noise functions. PORN is defined by replacing a static offset distance in a general offset with a gradient noise function. For example, PORN curve Cn(t) i...

The parametric representation method has been shown to be a useful geometric tool to study tangent and Hopf bifurcations in chemical systems. As an example, we investigate the behaviour of a two-dimensional system of differential equations. This general model includes some known catalytic oxidation models as special cases. The general system can have one or three stationary solutions depending ...

The international standard STEP stands for standard for exchange of product model data. It represents ISO 10303. In the STEP, common shape representation is supported by various part groups. In this paper, four major part groups are investigated. The first part group is part 40's, the integrated generic resources, which provide the fundamental framework for shape representation. The second part...