István Á. Harmati

Half-magnitude extensions of resolution and field of view in digital holography by scanning and magnification

Digital holography replaces the permanent recording material of analog holography with an electronic light sensitive matrix detector, but besides the many unique advantages, this brings serious limitations with it as well. The limited resolution of matrix detectors restricts the field of view, and their limited size restricts the resolution in the reconstructed holographic image. Scanning the larger aerial hologram (the interference light field of the object and reference waves in the hologram plane) with the small matrix detector or using magnification for the coarse matrix detector at the readout of the fine-structured aerial hologram, these are straightforward solutions but have been exploited only partially until now. We have systematically applied both of these approaches and have driven them to their present extremes, over half a magnitude in extensions.

On possibilistic correlation coefficient and ratio for triangular fuzzy numbers with multiplicative joint distribution

The goal of this paper is to provide calculation formulas for the possibilistic correlation coefficient and ratio for two marginal possibility distributions of triangular form when their joint possibility distribution is defined by the product t-norm. We will also introduce an alternative definition for the possibilistic correlation coefficient and ratio when their joint possibility distribution is defined by the product t-norm.

Sensitivity analysis of the weighted generalized mean aggregation operator and its application to fuzzy signatures

In this paper we give bounds on the changing of the weighted generalized mean in terms of vector norms of the changing of the variables. Applying this result we characterize the sensitivity of fuzzy signatures which equipped with weighted generalized mean operators in their nodes. Finally, a practical example from civil engineering is also examined.

A note on f-weighted possibilistic correlation for identical marginal possibility distributions

Fuller, Mezei and Varlaki defined the f-weighted possibilistic correlation coefficient as a new measure of interactivity of fuzzy numbers, which can be determined from the joint possibility distribution. At the end of their paper they formulated problems in connection with the lower limit of the f-weighted possibilistic correlation coefficient, if we know only the marginal distributions. In this paper we will discuss these problems.

Takagi-Sugeno Fuzzy Control Models for Large Scale Logistics Systems

Requirements, such as adaptive behavior, learning ability and self regulative features, that have to be met by modern logistic systems, need the construction of such control systems that are able to control the basic processes and also to develop and improve the material and information system by automating the control processes. For controlling the logistical systems the papers propose the application of LPV structure by which non-linear systems can be controlled on the basis of linear control theories. The proposal points out that the priorities of different states are of great importance when generating the logical rules of operation. For resolving the difficulties of constructing mathematical algorithms fuzzy sets are suggested, so in the control model a Takagi-Sugeno solution is proposed, that can describe multi-input multi-output, non-linear, dynamic systems like logistical systems.

Sensitivity Analysis of Fuzzy Signatures Using Minkowski’s Inequality

In this paper we give upper bounds on the change of the weighted generalized mean aggregation operator via Minkowski’s inequality. Then we apply these results to characterize the sensitivity of fuzzy signatures which equipped with such aggregation operators in their nodes. A sensitivity of a real-life fuzzy signature used for ranking buildings is also examined.

Probabilistic correlation coefficients for possibility distributions

The goal of this paper to introduce two alternative definitions for the possibilistic correlation coefficient by equipping the level sets of a joint possibility distribution with nonuniform probability distributions which are directly derived from the shape function of the joint possibility distribution. We also show some examples for their exact calculation for joint possibility distributions defined by Mamdani, Łukasiewicz and Larsen triangular norms.

LPV type model of deformational force in vehicle collisions

Modeling of the deformational force and absorbed energy plays a very important role in different fields of vehicle engineering. The usually applied FEM based methods give good approximations, but they have extremely large computational complexity. On the other hand there exist simple force models, but they not approximate well in details the real data. The aim of this paper is to introduce a force model for vehicle deformation, which is able to describe the real process and have acceptable complexity.

Energy Absorption Modelling Technique for Car Body Deformation

The main object of this paper is to introduce a model for describing how the energy distribution changes during deformational processes, esp. in car crashes. This an important and difficult task in accident analysis and in safety car-body design. Exact estimation or measuring of the absorbed energy by the deformation is almost impossible. The classical tool for this task is usually a differential equation based finite element method, which requires exact knowledge about the parameters and takes a lot of computational time with high complexity. In the following we introduce a simple numerical model for the changing of the energy distribution during the whole deformational process.

Estimation of Energy Distribution for Car-body Deformation

Identification of distribution of deformational energy for vehicle body deformational processes is a very important and difficult task in accident analysis and in safety car-body design. Exact estimation or measuring of the absorbed energy by the deformation is almost impossible, so we apply an estimation for this. The classical tool for this task is usually a differential equation based finite element method, which requires exact knowledge about the parameters. In the following we introduce a simple numerical model describing the changing of the energy distribution during the whole deformational process. The main idea is similar to a finite element method: let have a 3D rectangular grid on the car-body, according to the energy absorbing properties of the vehicle, so each cell is approximately homogenous. For For each cell a monotonous decreasing function is assigned , which describes approximately the rate of the absorbed and the input energy. For different possible directions of the impact we define different absorbing functions, and instead of the original input, we deal with its orthogonal components, so the final result then will be the sum of the particular result.