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Study of Rough Multi objective Programming Problem with Roughness in the Constraints

E.A. Youness, H.G. Gomaa


Rough programming problems are the problems include vague in the objective function or in the constraints or in the both, the vagueness may be fuzzy or rough. In this paper we will discuss the efficient solutions of multi objective programming problems with roughness in the constraints via weighting and ε-constraint approaches. The rough weights and rough parameters ε are determined by lower and upper approximations corresponding each efficient solutions of the considered problem.

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