Postdoctoral fellowship (2 years) in non-additive measures and integrals

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    Umea University
    Formal sciences
    Natural sciences
    Professions and applied sciences
    Social sciences
    Recognised Researcher (R2) (PhD holders or equivalent who are not yet fully independent)


Umeå University announces one postdoctoral fellowship for postdoctoral qualification on non-additive measures and integrals. Deadline for application is November 25.
The Department of Computing Science (http://www.cs.umu.se) is a dynamic department with about 130 employees from over twenty countries. We are providing research and education within a broad spectrum of areas, and offer education on basic, advanced, and PhD levels. The research is internationally well recognized and includes basic research, methods development, and software development, and research and development within various application domains.

Project description

Non-additive measures are set functions where the additivity condition is replaced by monotonicity with respect to set inclusion. Outer measures are one of the examples of this type of measures. Non-additive measures are also known as capacities, fuzzy measures, and monotonic games. They are useful to represent interactions between elements and there are applications in mathematical economy, social choice and computer science.

Our research group (led by Prof. Vicenç Torra) has a long experience in the field, working on measures for both discrete and continuous domains. Our current research includes theoretical results on non-additive measures and integrals, numerical integration using non-additive measures, Radon-Nikodym-like derivatives and distances for these measures, probability distributions based on these measures. We have developed applications for modeling decisions and for data privacy.

The group collaborates with several national and international research groups on these topics (Japan, USA), and has active links with the private and public sectors. For more information see:


Research will be done in the area of non-additive measures and integrals. We are interested in developing probability distributions based on these measures, the interplay of these measures and probability distributions, and on defining distances for these measures. A successful candidate will have the opportunity to take part in developing the project.

The stipend project is financed by the Kempe foundations and is associated with the Wallenberg AI, Autonomous Systems and Software Program (WASP). The program addresses research on artificial intelligence and autonomous systems acting in collaboration with humans, adapting to their environment through sensors, information and knowledge, and forming intelligent systems-of-systems. The vision of WASP is excellent research and competence in artificial intelligence, autonomous systems and software for the benefit of Swedish industry. Read more at: https://wasp-sweden.org/

The stipend is full-time for two years with starting date as soon as possible or otherwise agreed or to be negotiated. The stipend amounts to 330 000 SEK per year (around 31500 euro). The stipend is not subject to tax.


A qualified applicant is required to have a PhD degree or a foreign degree that is deemed equivalent in Mathematics, Statistics, Computer Science, or another subject of relevance for the project. The PhD degree shall not be more than three years old by the application deadline unless there are special reasons. The applicant should be strongly motivated and interested to develop new competences, as well as to act in an international environment.

Documented knowledge and proven research experiences in at least one of the areas non-additive measures and integrals, cooperative game theory, numerical integration, Markov chains, probability distributions, or approximate reasoning is required.

A successful candidate is expected to have a scientific and result-oriented approach to your work. A very good command of the English language, both written and spoken, are key requirements.

Good research merits and scientific publications in the area of the position are strongly meriting. International research experience is also a merit.


The application should include:

  • An introductory letter summarizing your qualifications, research interests, and motivation for applying (max 2 pages)

  • CV with list of publications

  • Copies of PhD thesis and relevant publications

  • Certified copies of doctoral degree certificate and other relevant degree certificates

  • Name and contact information for two or three reference persons

  • Any other relevant information, e.g. about competencies and / or experiences

Submit your application as a PDF marked with the reference number FS 2.1.6-2096-20, both in the file name and in the subject field of the email, to medel@diarie.umu.se. The application can be written in English (preferably) or Swedish. Application deadline is 25 November 2020.

Send also your application to vtorra@cs.umu.se.

The Department of Computing Science values the qualities that an even gender distribution brings to the department, and therefore we particularly encourage women to apply for the stipend.

Further information

Further information is provided by Prof. Vicenç Torra, vtorra@cs.umu.se.

We look forward to your application!



The responsibility for the funding offers published on this website, including the funding description, lies entirely with the publishing institutions. The application is handled uniquely by the employer, who is also fully responsible for the recruitment and selection processes.