Mathematics at Deakin University

Activities of the Mathematics Research Lab and Teaching Team

Maths Seminar Series: Radko Mesiar, STU in Bratislava – Aggregation functions: recent results and trends, links to fuzzy set theory

Friday 14 February 2020 – 11:00am – 12:00pm The Mathematics Research Lab welcomes Radko Mesiar from STU in Bratislava to present his research (part of a double seminar). Abstract We bring an overview of some recent new concepts, results and trends in the aggregation theory. In particular, we focus on monotonicity issues in aggregation, including […]

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Publication: Robust fitting for the Sugeno integral with respect to general fuzzy measures

Gleb Beliakov, Marek Gagolewski, Simon James Journal of Information Sciences Abstract The Sugeno integral is an expressive aggregation function with potential applications across a range of decision contexts. Its calculation requires only the lattice minimum and maximum operations, making it particularly suited to ordinal data and robust to scale transformations. However, for practical use […]

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Research Project: Scheduling and timetabling for pilot training

Funded by DSTG ALGORA Vicky Mak-Hau and Sergey Polyakovskiy This project aims to develop a highly intelligent planning tool that integrates simulation, optimisation and data analysis for the daily scheduling of training lessons while, at the same time, allocate limited resources under complex resource restrictions.

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Research Project: An optimisation-based framework for non-classical Chebyshev approximation

ARC Discovery grant Julien Ugon, Marco Lopez-Cerdá, Nadeza Sukhorukova, Vera Roshchina, Jean-Pierre Crouzeix and Nira Dyn This project aims to solve open problems in multivariate and piecewise polynomial approximation – two directions that correspond to fundamental obstacles to extending classical approximation results. Through an innovative combination of optimisation and algebraic technique, this project intends to […]

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