Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/75

 Title: Vector Combinatorial Problems in a Space of Combinations with Linear Fractional Functions of Criteria Authors: Semenova, NataliaKolechkina, LyudmylaNagirna, Alla Keywords: vector optimizationdiscrete optimizationlinear fractional functionsset of combinations Issue Date: 2008 Publisher: Institute of Information Theories and Applications FOI ITHEA Abstract: The paper considers vector discrete optimization problem with linear fractional functions of criteria on a feasible set that has combinatorial properties of combinations. Structural properties of a feasible solution domain and of Pareto–optimal (efficient), weakly efficient, strictly efficient solution sets are examined. A relation between vector optimization problems on a combinatorial set of combinations and on a continuous feasible set is determined. One possible approach is proposed in order to solve a multicriteria combinatorial problem with linear- fractional functions of criteria on a set of combinations. URI: http://hdl.handle.net/10525/75 ISSN: 1313-0463 Appears in Collections: Volume 15 Number 3

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