Abstract: General non-additive measures are investigated with the help of some related monotone measures (some types of variations and submeasures), which have some important additional properties.

Keywords: Set function, variation, submeasure

Abstract: The completeness of an exploration project is of crutial importance for making decision to start or to give up a mining investment, or to continue the exploration to get complementary information. The authors discuss this problem on the example of the Halimba bauxite deposit, Hungary. Resource calculations were carried out in 12 subsequent stages by fuzzy arithmetic with the aim to quantify the uncertainties of ore tonnage and grade. Prior information and prior probabilities were applied to complete the exploration data. Ranges of influence for the main variables were calculated by variograms. Spatial variability and spatial continuity of the ore bodies were mathematically evaluated. The authors found that the main geological, mining and economic factors must be evaluated separately and ranked according to their importance.

Keywords: resource assessment, fuzzy arithmetic, prior information, prior probabilities

Abstract: In computer vision image point correspondence matching plays an important role. With the help of the point correspondence matching algorithms for example some of methods concerning the field of stereo vision can be automatized. This paper presents a method for quickly and reliably selecting and matching of the most interesting image points (feature points).

Keywords: Feature points, image point correspondence, 3D modeling, noise cancellation, edge detection, corner detection, fuzzy reasoning

Abstract: In this paper we propose an approximation of the class of continuous nilpotent operators. The proof is based on one hand the approximation of the cut function, and on the other hand the representation theorem of operators with zero divisors. The approximation is based on sigmoid functions which are found to be useful in machine intelligence and other areas, too. The continuous nilpotent class of operators play an important role in fuzzy logic due to their good theoretical properties. Besides them this operator family does not have a continuous gradient. The main motivation was to have a simple and continuously differentiable approximation which ensures good properties for the operator.

Keywords: nilpotent operators, sigmoid function, approximation

Abstract: In this paper we will summarize some properties of the extended addition operator on fuzzy numbers, where the interactivity relation between fuzzy numbers is given by their joint possibility distribution.

Abstract: The paper presents development and tuning tehniques and solutions for PI and PID controllers, and Takagi-Sugeno fuzzy controllers with PI and PID type dynamics meant for applications which can be characterised with low order benchmark type modeles (for example electrical and hydraulic driving and positioning systems).Two type of plants and two control structures with homogenous and with non-homogenous information processing with respect to the inputs are presented, including tuning and optimization aspects. Then Takagi-Sugeno fuzzy models dedicated to a class of plants characterized by Two Input- Single Output linear time-varying systems are presented. It is offered a stability test algorithm of the fuzzy control systems involving Takagi-Sugeno fuzzy controllers, to control the accepted class of plants. The tuning methods are briefly presented in relation with a control solution for a drive system with a variable inertia strip winding system.

Keywords: Controllers with PI and PID dynamics, Takagi-Sugeno fuzzy models, Takagi-Sugeno fuzzy controllers, stability analysis, winding system.

Abstract: Some difficulties emerging during the construction of fuzzy rule bases are inherited from the type of the applied fuzzy reasoning. The fuzzy rule base requested for many classical reasoning methods needed to be complete. In case of fetching fuzzy rules directly from expert knowledge, the way of building a complete rule base is not always straightforward. One simple solution for overcoming the necessity of the complete rule base is the application of interpolation-based fuzzy reasoning methods, since interpolationbased fuzzy reasoning methods can serve usable (interpolated) conclusion even if none of the existing rules is hit by the observation. These methods can save the expert from dealing with derivable rules and help to concentrate on cardinal actions only. For demonstrating the benefits of the interpolation-based fuzzy reasoning methods in construction of fuzzy rule bases a simple example will be introduced briefly in this paper too.

Keywords: Interpolation-based Fuzzy reasoning, rule base construction

Abstract: It is difficult for most of us to imagine, but many who are deaf rely on sign language as their primary means of communication. They, in essence, hear and talk through their hands. This paper proposes a system which is able to recognize the signs using a video camera system. The recognized signs are reconstructed by the 3D visualization system as well. To accomplish this task a standard personal computer, a video camera and a special software system was used. At the moment the software is able to recognize several letters from the sign language alphabet with the help of color marks. The sign language recognition is a function of an Intelligent Space, which has ubiquitous sensory intelligence including various sensors, such as cameras, microphones, haptic devices (for physical contact) and actuators with ubiquitous computing background.

Keywords: sign language, deaf, image processing, marker, CCD, camera, OpenGL, WISDOM, recognition, reconstruction, intelligent space