We study the Cauchy problem for differential equations, considering its parameters and/or
initial conditions given by fuzzy sets. These fuzzy differential equations are approached in …

Basic ideas and formal concepts from fuzzy sets and fuzzy logic have been used
successfully in various branches of science and engineering. This paper elaborates on the …

In this paper we consider additions of interactive fuzzy numbers. The interactivity relation
between fuzzy numbers are defined by their joint possibility distribution. We show that …

This monograph summarizes the authors' works in the the first decade of the 21st century on
possibility distributions and decisions. The book is organized as follows. It begins, in …

Untitled Page 1 Page 2 Irina Georgescu Possibility Theory and the Risk Page 3 Studies in
Fuzziness and Soft Computing, Volume 274 Editor-in-Chief Prof. Janusz Kacprzyk Systems …

This paper, introduces the nearest weighted interval and point approximations of a fuzzy
number, and then suggests weighted possibilistic moments about these points of fuzzy …

Reliability analyses based on probability theory are widely applied in geotechnical
engineering, and several analytical or numerical methods have been built upon the concept …

The fuzzy Kalman filter (FKF), introduced some years ago, is revisited. In the initial version,
trapezoidal possibility distributions functions instead of gaussian probability distributions …

A new method to implement fuzzy Kalman filters is introduced. The combination of
possibilistic techniques and the extended Kalman filter has special application in fields …

This paper introduces a new defuzzification technique derived as a generalization of the
formula for the calculation of possibilistic mean originally proposed by Carlsson and Fullér in …