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Optimality and duality for multiobjective fractional programming problems with $$n$$-set functions and generalized $$V$$-type-$$I$$ univexity. (English) Zbl 1289.90176
Summary: We study optimality conditions and generalized Mond-Weir duality for multiobjective fractional programming involving $$n$$-set functions which satisfy appropriate generalized $$V$$-type-$$I$$ univexity conditions. Our results generalize to fractional programming those obtained by V. Preda, I. M. Stancu-Minasian, Miruna Beldiman and Andreea Mădălina Stancu [J. Glob. Optim. 44, No. 1, 131–148 (2009; Zbl 1180.90296)].

##### MSC:
 90C29 Multi-objective and goal programming 90C32 Fractional programming