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Multiple objective linear fractional optimization in complex space. (English) Zbl 0694.90090

Summary: Characterization of efficiency is given for classes of multiple objective linear fractional optimization in complex space. The principal tools employed here are the change of variables, which reduces a multiple objective linear fractional programming problem in complex space to a multiple objective linear programming in complex space. Also, a theorem of the alternative for a complex nonhomogeneous linear inequality is given.

MSC:

90C31 Sensitivity, stability, parametric optimization
90C32 Fractional programming
90C48 Programming in abstract spaces
90C05 Linear programming
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