A Numerical Parametric Study of Multi-objective Non-linear Programming Problems under Fuzzy Environment Using a Trust-region Algorithm
نویسنده
چکیده
In this paper, we introduce a numerical method to determine the stability set of the first kind for fuzzy multi-objective non-linear programming (FMONP) problem. An α−level set of the fuzzy vector is used together with a weighting approach to transform (FMONP) problem to a single-objective inequality constrained optimization (SOICO) problem. An active set strategy is used together with a multiplier method to convert (SOICO) problem to unconstrained optimization problem. A trust-region algorithm is used to solve (SOICO) problem to get the best range of the α−level set and the best values of each weight of the objective functions.
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