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On a general duality model in multiobjective fractional programming with \(n\)-set functions. (English) Zbl 1225.90120

Summary: We consider some types of generalized convexity and discuss duality results for a fractional programming problem involving \((F,b,\varphi ,\rho ,\theta )\)-univex \(n\)-set functions. Almost all results presented until now in the literature were obtained under the assumption that the function \(F\) is sublinear or, in the last time, convex in the third argument. In our approach, we suppose that \(F\) is a quasiconvex function in the third argument.

MSC:

90C29 Multi-objective and goal programming
90C46 Optimality conditions and duality in mathematical programming
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