Fuzzy arithmetic with requisite constraints
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
Interval methods in knowledge representation
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Robust stability of fuzzy-parameter systems
Automation and Remote Control
Simulation of discrete linear time-invariant fuzzy dynamic systems
Fuzzy Sets and Systems
Stability Margin for Linear Systems with Fuzzy Parametric Uncertainty
PRICAI '08 Proceedings of the 10th Pacific Rim International Conference on Artificial Intelligence: Trends in Artificial Intelligence
Fuzzy approaches to quality function deployment for new product design
Fuzzy Sets and Systems
Parametric Uncertainty of Linear Discrete-Time Systems Described by Fuzzy Numbers
KES '09 Proceedings of the 13th International Conference on Knowledge-Based and Intelligent Information and Engineering Systems: Part I
Modelling ellipsoidal uncertainty by multidimensional fuzzy sets
Expert Systems with Applications: An International Journal
A fuzzy nonlinear model for quality function deployment considering Kano's concept
Mathematical and Computer Modelling: An International Journal
Robust PI controller design with respect to fuzzy sensitivity margins
Applied Soft Computing
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In this paper the problem of determining the stability margin of a linear system with fuzzy parametric uncertainty is addressed. This kind of systems arise when the exact value of a process parameter is not available, but an estimation of the value is given by an expert ("more or less 5"). As the α-cut representation of a fuzzy number is a functional interval, interval analysis shows to be a suitable tool to deal with fuzziness. Based on the Argoun's stability test for interval systems, a new methodology, with a natural graphical interpretation, is presented. An independent confidence degree for every coefficient is considered, allowing a clear understanding on how each coefficient affects stability. An analysis on how precise one should be on some coefficients to allow more uncertainty on others can be carried out. A comparison with Tsypkin-Polyak plot is also presented.