Journal of Operational Research and Its Applications ( Applied Mathematics ) - Lahijan Azad University

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Goal linear programming(GP) is one of the important techniques for solving multi-objective linear programming (MOLP) problems so that for every objective aspiration level is considered by the decision maker. A special kind of GP problem is the multi-choice goal programming, where some aspiration level is considered for the targets. The multi-choice goal programming the first time was presented by chang.T.C in the year 2007. Then in 2008 change expired another kind of multi choice goal programming entitled, the revised multi-choice goal programming where its goal aspersion levels are a closed interval. The first paper of the fuzzy multi-choice goal programming was introduced by the Bankian et al. in the year 2012, which uses triangular fuzzy number as the aspiration level. In this paper, we are going to present two new models of the flexible fuzzy multi-choice goal programming :1) revised multi-choice goal programming with flexible fuzzy constraints and 2) revised multi-choice goal programming with flexible fuzzy objective functions. For both models, we propose a new approach for solving them based on a multi-parametric linear goal programming and minimum degree membership technique. Finally, we illustrate our approach by solving some numerical examples.

Keywords: Multi-Objective Linear Programming, Multi-Choice Goal Linear Programming, Multi-Parametric Linear Goal Programming, Flexible Fuzzy Goals, Aspiration Level

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