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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. Linz2002 will be the 23rd seminar carrying on this tradition. 

Linz2002 will deal with Fuzzy Analysis and its Applications. This very broad area, roughly speaking, involves looking at classical analysis when elements of vagueness and imprecision are present. It thus describes both fuzzification of established methods when important applications occur, and placing fuzzy structures as well-defined objects in classical functional analysis. The organizers hope that the talks will provide a comprehensive mathematical framework both for pure techniques and practical application of analytical methods utilizing fuzzy sets.

The Seminar will consider, but not be strictly limited to the following aspects of fuzzy analysis:

  • Fuzzy dynamical systems and fuzzy descriptions of physical systems
  • Metric spaces of fuzzy sets
  • Fuzzy random variables: distributions and limit theorems
  • Fuzzy differential equations (FDE): deterministic & stochastic
  • Application of FDE to control and filtering under uncertainty
  • Optimization methods and the cone of fuzzy vectors
  • Numerical methods for fuzzy systems and computation with fuzzy numbers
  • Fixed point properties in probabilistic metric spaces
The total number of participants is usually bounded above by 40 with broad international representation and a mix of pure and applied interests. Invited talks are usually allowed an hour and a half and contributed talks 45 minutes. 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 daily round tables for discussion of open problems and issues raised by the day's talks.