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Volume 4, Issue 1, 1 April 2022, Pages 53-65
Abstract. This paper studies a new class of vector optimization problems where the objective criteria are linear fractional functions, the ordering cone can be any nonempty closed convex pointed and solid cone, and the constraint set can be any nonempty closed convex set. Necessary optimality conditions, as well as sufficient optimality conditions, are obtained. In addition, two theorems on the connectedness of the weakly efficient solution set and the efficient solution set are established. The results are analyzed by concrete examples.
How to Cite this Article:
N.T.T. Huong, N.D. Yen, A new class of vector optimization problems with linear fractional objective criteria, J. Appl. Numer. Optim. 4 (2022), 53-65.