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Efficiency Conditions and Duality for a Class of Multiobjective Fractional Programming Problems |
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| Authors: | Zhi-An Liang Hong-Xuan Huang Panos M Pardalos |
| Institution: | (1) Department of Applied Mathematics, Shanghai University of Finance and Economics, Shanghai, 200433, P.R. China;(2) Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, P.R. China;(3) Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL 32611, USA |
| Abstract: | A class of constrained multiobjective fractional programming problems is considered from a viewpoint of the generalized convexity. Some basic concepts about the generalized convexity of functions, including a unified formulation of generalized convexity, are presented. Based upon the concept of the generalized convexity, efficiency conditions and duality for a class of multiobjective fractional programming problems are obtained. For three types of duals of the multiobjective fractional programming problem, the corresponding duality theorems are also established. |
| Keywords: | duality efficiency condition efficient solution (F |
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