Fuzzy Sets and Systems
How to fight the wrapping effect
Proceedings of the International Symposium on interval mathematics on Interval mathematics 1985
Fuzzy weighted averages and implementation of the extension principle
Fuzzy Sets and Systems
Vertex method for computing functions of fuzzy variables
Fuzzy Sets and Systems
Fuzzy Sets and Systems - Fuzzy Numbers
On using &agr;-cuts to evaluate fuzzy equations
Fuzzy Sets and Systems
Estimation theory for nonlinear models and set membership uncertainty
Automatica (Journal of IFAC)
Engineering design calculations with fuzzy parameters
Fuzzy Sets and Systems
Qualitative reasoning: modeling and simulation with incomplete knowledge
Qualitative reasoning: modeling and simulation with incomplete knowledge
A qualitative simulation approach for fuzzy dynamical models
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy arithmetic with requisite constraints
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
A parametric representation of fuzzy numbers and their arithmetic operators
Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
Fuzzy Sets and Systems
Numerical methods for fuzzy initial value problems
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Robust Control: The Parametric Approach
Robust Control: The Parametric Approach
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Robust Control: Systems with Uncertain Physical Parameters
Robust Control: Systems with Uncertain Physical Parameters
Global Optimization with Polynomials and the Problem of Moments
SIAM Journal on Optimization
Gas-Turbine Condition Monitoring Using Qualitative Model-Based Diagnosis
IEEE Expert: Intelligent Systems and Their Applications
The transformation method for the simulation and analysis of systems with uncertain parameters
Fuzzy Sets and Systems - Fuzzy intervals
Analysis of linear systems with fuzzy parametric uncertainty
Fuzzy Sets and Systems - Special issue: Interfaces between fuzzy set theory and interval analysis
GloptiPoly: Global optimization over polynomials with Matlab and SeDuMi
ACM Transactions on Mathematical Software (TOMS)
Convex Optimization
Methods and Applications of Interval Analysis (SIAM Studies in Applied and Numerical Mathematics) (Siam Studies in Applied Mathematics, 2.)
IJCAI'95 Proceedings of the 14th international joint conference on Artificial intelligence - Volume 2
Computing expensive multivariate functions of fuzzy numbers using sparse grids
Fuzzy Sets and Systems
A Comparison of Discrete Algorithms for Fuzzy Weighted Average
IEEE Transactions on Fuzzy Systems
Modeling and improvement of the integrated business and production processes by fuzzy simulation
SpringSim '09 Proceedings of the 2009 Spring Simulation Multiconference
SpringSim '10 Proceedings of the 2010 Spring Simulation Multiconference
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In this paper, a new approach to simulation of discrete linear time-invariant dynamic systems with parameters and initial conditions described by fuzzy numbers is proposed. This approach solves the problem of fuzzy simulation by determining at each iteration a nested family of intervals, corresponding to different levels of certainty (@a-cuts), that enclose the possible system states using optimisation. The originality of this approach consists in considering uncertain parameters as time-invariant during the simulation process. The optimisation problems associated with the approach proposed must be solved globally in order to guarantee that the minimum volume box enclosing the region of system states for each level of certainty has been derived. Then, a global optimisation algorithm, based on the theory of moments and linear matrix inequality relaxations suitable for the type of problems (polynomial programs) that appear in the fuzzy simulation algorithm, is used. Finally, two real engineering application examples allow assessing the performance of the approach proposed.