Connectedness of the Efficient Set for Three-Objective Quasiconcave Maximization Problems |
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| Authors: | A Daniilidis N Hadjisavvas S Schaible |
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| Institution: | (1) Department of Mathematics, University of the Aegean, Samos, Greece;(2) Department of Mathematics, University of the Aegean, Samos, Greece;(3) A. G. Anderson Graduate School of Management, University of California, Riverside, California |
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| Abstract: | For three-objective maximization problems involving continuous, semistrictly quasiconcave functions over a compact convex set, it is shown that the set of efficient solutions is connected. With that, an open problem stated by Choo, Schaible, and Chew in 1985 is solved. |
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| Keywords: | Multi-objective maximization semistrictly quasiconcave functions efficient solution set connectedness |
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