Preference models using graded and interval relations Professors and Supervisors

Katarzyna Jesse-JózefczykView profile

Assistant Professor

University of Zielona GóraPoland

Dr. Katarzyna Jesse-Józefczyk is an Assistant Professor at the Institute of Mathematics, University of Zielona Góra, Poland. She maintains an office in Room 509 A-29 and can be contacted at k.jesse-jozefczyk@im.uz.zgora.pl. Her academic profile combines teaching responsibilities with diverse research activities across theoretical and applied mathematics. Her primary research interests include: Graph Theory (graph coloring, computational complexity of graph algorithms, coalitions and safe sets in graphs) Stochastic Inclusions and Multivalued Stochastic Equations with applications in economics and biological sciences Multivariate Linear Models and Analysis Game Theory (stochastic, multigenerational, and large games) Approximation Theory using Fourier series Preference Models using graded and interval relations Dr. Jesse-Józefczyk's work bridges theoretical mathematics with practical applications in secure data transmission, e-business, and space communication. She actively participates in the Center for Applications of Mathematics and Computer Science (OZMI), contributing to interdisciplinary research projects focused on sustainable energy, healthy society initiatives, and innovative industrial technologies. Her teaching portfolio includes algorithms and data structures, computer programming courses (both introductory and advanced), object-oriented programming, and database systems curriculum.

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Andrzej NowakView profile

Professor

University of Zielona GóraPoland

Andrzej Nowak is a Professor at the Institute of Mathematics, University of Zielona Gora, specializing in game theory, mathematical economics, and applied mathematics with significant applications in economics and finance. His academic profile includes: Research on Nash equilibria in non-zero-sum stochastic games with constraints on player strategies Work on Recursive Utilities in Dynamic Economic Models and General Equilibrium Theory Investigations of Risk Measures in Dynamic Programming and Markovian Decision Processes Analysis of multivariate linear models and Inclusions and multivalued stochastic equations Studies of Preference models using graded and interval relations for decision support systems Professor Nowak teaches fundamental courses in game theory, mathematical economics, and mathematical foundations of economics in finance (including portfolio analysis, capital market lines, and time series). He also covers probability theory and stochastic processes with applications to economics and finance, particularly Markov chain theory and discrete-time martingales. His broader research encompasses: Approximation theory using Fourier series and summability methods Combinatorial geometry including partitions of n-dimensional space Mathematical means and their invariance properties Applications of computer science to secure data transmission and privacy standards

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Justyna JarczykView profile

Professor

University of Zielona GóraPoland

Justyna Jarczyk is a Professor at the University of Zielona Góra, affiliated with the Department of Exact and Natural Sciences. Her research spans functional equations, invariance of means, and iteration theory, with applications in stochastic inclusions, operator theory on locally convex spaces, and nonlinear analysis. She explores preference models using graded and interval relations, game theory in stochastic and multigenerational contexts, and multivariate linear models with specialized covariance structures. Her teaching includes mathematical analysis, real and complex analysis, linear algebra, and LaTeX for technical and natural sciences students. Her scientific activity focuses on fixed point theorems in uniformly convex spaces, Volterra-type integral equations, and numerical methods for solving complex mathematical problems. She contributes to projects funded by the European Union under the Widza Education Development Operational Programme, emphasizing modern teaching and interdisciplinary collaboration.

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Janusz MatkowskiView profile

Professor

University of Zielona GóraPoland

Janusz Matkowski is a Professor at the University of Zielona Góra, affiliated with the Department of NŚP (Exact and Natural Sciences). His work spans functional analysis, operator theory, and applied mathematics. Research focuses on functional equations, fixed point theory, and operator theory on locally convex spaces. He investigates graph theory, game theory, and combinatorial geometry for mathematical modeling of complex systems. His applied research involves stochastic equations, multivariate linear models, and approximation theory using Fourier series. He contributes to interdisciplinary projects in sustainable energy, industrial optimization, and decision support systems.

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Marta Borowiecka-OlszewskaView profile

Researcher

University of Zielona GóraPoland

Dr. Marta Borowiecka-Olszewska is a researcher at the Institute of Mathematics at the University of Zielona Góra, Poland. She contributes to interdisciplinary research through the Center for Applications of Mathematics and Computer Science (OZMI), focusing on sustainable energy, healthcare, and industrial optimization. Her academic work spans graph theory, operator theory, and nonlinear analysis, with applications in mathematics, computer science, and econometrics. Research Focus: Her research includes hereditary properties in graphs, spectral theory of operators, fixed-point theorems in uniformly convex spaces, and preference models using graded/interval relations. Teaching: She teaches courses in probability theory, time series analysis, and combinatorial foundations of computer science, including Erasmus and international collaborations with Chongqing Normal University. Projects: Participates in the EU-funded "Modern teaching and practical cooperation with entrepreneurs" development program (POWR.03.05.0-00-00-Z014/18). Her work also involves iterative methods for Gaussian algorithms, mean invariance, and Volterra-type integral equations in nonlinear analysis.

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Silva RobakView profile

Professor

University of Zielona GóraPoland

Silva Robak is a Professor at the Institute of Mathematics, University of Zielona Góra. Her research spans software engineering, economic informatics, and mathematical theories including fixed point theorems, game theory, and graph theory. She focuses on modeling data flows in e-business supply chains, nonlinear analysis, and approximation theory using Fourier series. Specialization in Lipschitz mappings and generalizations of Rademacher's theorem Expertise in stochastic, multigenerational, and large games in decision theory Contributions to preference models using graded and interval relations Work on iterative methods for fixed point problems in Hilbert spaces Teaching activities in management information systems and UML design Her research also addresses covariance parameter estimation in multivariate linear models and combinatorial geometry problems in graph coloring.

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Rafał ZalasView profile

Researcher

University of Zielona GóraPoland

Rafał Zalas is a researcher at the Department of Computer Science Applications at the University of Zielona Góra. His work spans diverse mathematical and computational domains, including iterative methods for fixed point problems , approximation theory using Fourier series , combinatorial geometry , and multivalued stochastic equations . His research focuses on convergence conditions for non-expanding operators, summability of Fourier series, and combinatorial properties of geometric partitions. He also explores applications in economics, social sciences, and computer science education, particularly through open-source tools. At the Institute, he teaches operational research and mathematical analysis . His projects include EU-funded initiatives like Modern teaching and practical cooperation with entrepreneurs .

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