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A dual for a multiple objective fractional programming problem. (English) Zbl 0616.90080

A duality theorem is presented for a class of multiple objective fractional problems giving a multiple objective analog of some of the well known results in scalar fractional programming. Weak duality is established using a ’Pareto’ type relation between the primal and dual objective functions and strong duality relates properly efficient solutions of the primal and dual problems.

MSC:

90C32 Fractional programming
49N15 Duality theory (optimization)
90C31 Sensitivity, stability, parametric optimization
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