2009 IEEE International Conference on
Systems, Man, and Cybernetics |
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Abstract
This paper presents two general methods to handle uncertainty to the Right Hand Side parameters of a Linear Programming (LP) model by means of Interval Type-2 Fuzzy Sets (IT2 FS) and trapezoidal membership functions. In this paper, a LP problem with uncertain Right Side parameters treated as Interval Type-2 Fuzzy sets is solved by two optimization strategies: The first one is a type-reduction method and the second one is a pre-defuzzification a ? cut approach. After the IT2 FS inference process, a real-valued solution must be found. In this way two methods based on classical optimization routines are presented to obtain optimal solutions when uncertain right hand side parameters exist.