Aniko Szakal

Adaptive model objects for robot related applications of product models

This paper deals with the application of adaptive model objects for integration of modeling products and robot systems. Product modeling is an advanced method for integration of product related computer descriptions. Product model describes engineering related information about parts and assemblies in a mechanical system. Robots use this information for flexible automated manufacturing of the modeled product. Consequence of definition or change of model objects may be unacceptable change in production. To prevent similar problems by improper design at production, two-way communication is needed between product design and production planning. The authors proposed highly integrated model objects for this purpose. Model objects evaluate and react inside and outside changes by analysis of the related behaviors. Adaptivity features are created and then applied for behavior driven generation of modification of model entities. This paper analyzes process-oriented product modeling of robot application related mechanical systems. The proposed objects are composed by elementary, structural, relationship, behavior, knowledge and adaptivity features. This paper also discusses integration of multi layered robot process model with shape models, procedure of modification handling by behavior features in a product-robot model system, general architecture of the proposed model objects and behavior feature driven activities of active model objects on four levels.

Jensen-type inequalities for Sugeno integral

In this paper, the classical Jensen inequalities for concave function ź, i.e., ź ( ź f ( x ) d µ ) ź ź ź ( f ) d µ and ź ( ź i = 1 n λ i x i ) ź ź i = 1 n λ i ź ( x i ) , are adapted for the Sugeno integral using the notion of the supergradient. Moreover, we give some modifications of previous results of Roman-Flores etźal. concerning Jensen-type inequalities for Sugeno integral. Some examples in the framework of the Lebesgue measure and counting measure to illustrate the results are presented.

General pseudo-integral

It is generalized the notion of pseudo-measure for values in a partially ordered commutative semiring endowed with special metrics. Based on the notion of generalized pseudo-measure it is introduced the corresponding pseudo-integral, and there are proved some important properties of it. Then there are considered special semirings on real intervals, and some application on nonlinear partial diferential equations.

Two kinds of explicit preference information oriented capacity identification methods in the context of multicriteria decision analysis

The decision makers preference information on the importance and interaction of decision criteria can be explicitly described by the probabilistic interaction indices in the framework of the capacity based multicriteria decision analysis. In this paper, we first investigate some properties of the probabilistic interaction indices of the empty set, and propose the maximum and minimum empty set interaction principles based capacity identification methods, which can be considered as the comprehensive interaction trend preference information oriented capacity identification methods. Then, by introducing the deviation variables, the goal constraints, as well as the goal objective function, we give a new and more flexible approach to representing the decision makers explicit preference information on the kind and degree of the interaction of any given combination of decision criteria as well as on the degree of the importance of any decision criterion, and construct the nonempty set interaction indices based capacity identification method, which can be considered as the detailed explicit preference information oriented identification method. Finally, two illustrative examples are respectively given to show the feasibility and applicability of the two kinds of methods. In addition, the comparison analysis between these two kinds of methods and some existing capacity identification methods are also mentioned.

Jensen Inequality with Subdifferential for Sugeno Integral

The classical Jensen inequality for concave function \(\varphi \) is adapted for the Sugeno integral using the notion of the subdifferential. Some examples in the framework of the Lebesgue measure to illustrate the results are presented.

Human interactions in the context of K-MOOC, Óbuda University courses

People in their 30s-40s are already used to changes and they are open for retraining in order to be more market able. We are not introducing anything new by saying that in today sigh demanding jobs, the schools are not only providing the knowledge necessary to be able to carry out a particular jib, but schools are also responsible for developing skills which will help the students to face and solve issues on a daily basis as well as prepare students for independent learning. Could we call Moodle courses an independent learning facilitators? The answer is not clear, the courses are designed on a teaching and learning basis, the curriculum is chosen and planned within a given structure, however the teacher is not physically present for the learning process. Students do not receive immediate feedback, and in many occasions students have to do their own research in order to find the answers they are looking for. Our examination was the learning process happening in the on-line collaborative learning environment. We have analyzed the last four semesters course activity. Our goal is to examine the Moodle LMS in the context of the communication in K-MOOC online courses to detect and characterize the student community activity, participation, explore the operation mechanism of this knowledge community.

Sobolev interpolation inequalities on Hadamard manifolds

We prove Sobolev-type interpolation inequalities on Hadamard manifolds and their optimality whenever the Cartan-Hadamard conjecture holds (e.g., in dimensions 2, 3 and 4). The existence of extremals leads to unexpected rigidity phenomena.

On Kapteyn-Kummer series' integral form

In this short research note we obtain double definite integral expressions for the Kapteyn type series built by Kummers M (or confluent hypergeometric ₁F₁) functions. These kind of series unify in natural way the similar fashion results for Neumann-, Schlömilch- and Kapteyn-Bessel series recently established by Pogány, Süli, Baricz and Jankov Maširević.

Managing big data by directed graph node similarity

This paper shows a novel algorithm based on the theory of fuzzy sets for discovering similar nodes in very large directed graphs (millions of nodes with billions of connections), if provided with a sample of representative nodes that are highly affiliated with some feature. This approach is practically verified on Twitter social network case study to discover influential Twitter users in the field of science.

The Hungarian NASA researcher in the field of space robotics — Life work of Antal K. Bejczy

Professor Antal K. Bejczy is a Hungarian-born physicist and lead researcher of the NASA Jet Propulsion Laboratory. He is a professor at the California Institute of Technology, at Washington University in St. Louis and doctor honoris causa at the Óbuda University in Budapest; an internationally recognized expert in robotics and space research. His pioneering research in space robotics largely aided the success of the early Mars expeditions. Professor Bejczy was born near the village of Ercsi. He attended the Jesuit high school in Kalocsa, after which he applied for his first job in Budapest as a workman and a dispatch boy at the electrical rotating machine factory in Budapest. During this time, he studied as an electrical engineer at Budapest University of Technology and Economics, until he was forced to leave his country, due to the historical events surrounding November 4, 1956. From Hungary through Austria, he immigrated to Norway, where he started his physics studies at Oslo University. After receiving his diploma, he remained at the university for another three years, as an expert in nuclear reactors. In 1963, he received his doctorate in the field of applied physics. He met with Tódor Kármán, who encouraged him to extend his knowledge by traveling overseas. In 1966, he received the NATO/Fulbright scholarship and continued his studies at the California Institute of Technology (CALTECH), where the primary focus of his research was cybernetics. From 1969, until his retirement (32 years), he worked as a research fellow at the NASA Jet Propulsion Laboratory (JPL), the well known research center, which was originally founded by Tódor Kármán. From 1971, research at JPL was primarily focused on designing robots that would be able to explore the surface of Mars. The news of Antal Bejczys results in the field of robot intelligence, reached the NASA Johnson Space Center. Soon, he was put in charge of designing the technology of a robot arm to be used on the space shuttle. Among many others, he designed the remote control system of the Pathfinder robot, the first Mars rover. His interests were extended to the use of robotics in musculoskeletal rehabilitation. His patents were tested by Christopher Reeve, the actor in the Superman films of the 70s and 80s. Antal Bejczy gave his name to the Center for Intelligent Robotics at Óbuda University in 2012. The Center was founded by Imre Rudas and is part of the University Research and Innovation Center. Its mission is to conduct robotics research and development, aid innovation and manage its results and fulfill educational needs in the field of robotics.