Solving parametric fuzzy systems of linear equations by a nonlinear programming method (Q2642584)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solving parametric fuzzy systems of linear equations by a nonlinear programming method |
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Solving parametric fuzzy systems of linear equations by a nonlinear programming method (English)
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17 August 2007
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The authors propose a nonlinear programming method for systems of equations of the form \(A_1 x + b_1 = A_2 x + b_2\), where \(A_1, A_2, b_1, b_2\) are matrices whose coefficients are triangular fuzzy numbers. The objective functions of the method are the solutions of the system considered as functions of the coefficients, whereas the constraints are the \(\alpha\)-cuts related to the triangular fuzzy numbers.
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fuzzy linear systems
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fuzzy vector
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nonlinear programming
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