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 https://doi.org/10.1016/j.ins.2019.11.024 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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