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About this Seminar

Since their inception in 1979 the Linz Seminars on Fuzzy Sets have emphasized the development of mathematical aspects of fuzzy sets by bringing together researchers in fuzzy sets and established mathematicians whose work outside the fuzzy setting can provide direction for further research. The seminar is deliberately kept small and intimate so that informal critical discussion remains central. There are no parallel sessions and during the week there are several round tables to discuss open problems and promising directions for further work.

LINZ 2007 will be already the 28th seminar carrying on this tradition, will be devoted to the mathematical aspects of “Fuzzy Sets, Probability, and Statistics – Gaps and Bridges”. The last ten years have witnessed a significant development of theoretical aspects of imprecise probabilities, as well as non-Bayesian approaches for uncertainty modelling, risk analysis and decision. These developments have created bridges between probability, fuzzy sets, and possibility theory. The aim of this meeting is to discuss the synergy between these fields, as well as to lay bare important open questions.

The topics of this seminar will include but are not limited to:

  • Imprecise probabilities
  • Random sets
  • Dempster-Shafer theory
  • Possibility theory
  • Copulas
  • Fuzzy random variables
  • Measures and integrals
  • Statistics with vague data
  • Uncertainty propagation methods
  • Decision under uncertainty
  • Mathematical aspects of risk analysis

The total number of participants is usually bounded above by 40 with broad international representation and a mix of pure and applied interests. There are no parallel sessions. The Seminar will feature ample time for discussion of each presentation, a fundamental aspect of the "Linz" tradition. The schedule allows for round tables for discussion of open problems and issues raised in the talks.