On stability in possibilistic linear equality systems with Lipschitzian fuzzy numbers
Fuzzy Sets and Systems
Solving systems of linear fuzzy equations
Fuzzy Sets and Systems
A Comparison of some Methods for Solving Linear Interval Equations
SIAM Journal on Numerical Analysis
Methods and Applications of Interval Analysis (SIAM Studies in Applied and Numerical Mathematics) (Siam Studies in Applied Mathematics, 2.)
Super-fast validated solution of linear systems
Journal of Computational and Applied Mathematics - Special issue: Scientific computing, computer arithmetic, and validated numerics (SCAN 2004)
Solving Systems of Linear Fuzzy Equations by Parametric Functions
IEEE Transactions on Fuzzy Systems
Perturbation analysis of fuzzy linear systems
Information Sciences: an International Journal
Finite Elements in Analysis and Design
Maximal- and minimal symmetric solutions of fully fuzzy linear systems
Journal of Computational and Applied Mathematics
A Gröbner basis approach for finding positive solution of fully fuzzy polynomial equations systems
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Approximating solutions of fully fuzzy linear systems: A financial case study
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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Buckley and Qu proposed a method to solve systems of linear fuzzy equations. Basically, in their method the solutions of all systems of linear crisp equations formed by the @a-levels are calculated. We propose a new method for solving systems of linear fuzzy equations based on a practical algorithm using parametric functions in which the variables are given by the fuzzy coefficients of the system. By observing the monotonicity of the parametric functions in each variable, i.e. each fuzzy coefficient in the system, we improve the algorithm by calculating less parametric functions and less evaluations of these parametric functions. We show that our algorithm is much more efficient than the method of Buckley and Qu.