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Abstract

A model of parametric optimization with fuzzy initial information is constructed. The conditions and areas of application of the main methods of the theory of fuzzy sets in studies of parametric optimization are determined. A connection is established between the stability of parametric optimization problems and fuzzy optimization problems. An algorithm for solving problems by the method of parametric programming is developed for fuzzy given initial information. The admissible region of the parametric programming problem and the value of its objective function at each point of this region depend on the parameter t. A description of the method for solving the parametric programming problem begins with a description of the reduction of the fuzzy medium to a clear medium and the method of finding the value of t for which there is an optimal fuzzy solution.

First Page

56

Last Page

61

References

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