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| Order Structure Analysis（OSA） for the Optimal Solutions of Multiple Objective Mathematical Programming | |
| 作者姓名： | FENG Junwen |
| 作者单位： | Soft Science Research Institute，Nanjing University of Science & Technology，Nanjing 210014 |
| 摘 要： | ＯｒｄｅｒＳｔｒｕｃｔｕｒｅＡｎａｌｙｓｉｓ（ＯＳＡ）ｆｏｒｔｈｅＯｐｔｉｍａｌＳｏｌｕｔｉｏｎｓｏｆＭｕｌｔｉｐｌｅＯｂｊｅｃｔｉｖｅＭａｔｈｅｍａｔｉｃａｌＰｒｏｇｒａｍｍｉｎｇＦＥＮＧＪｕｎｗｅｎ（ＳｏｆｔＳｃｉｅｎｃｅＲｅｓｅａｒｃｈＩｎｓｔ... |
Order Structure Analysis(OSA) for the Optimal Solutions of Multiple Objective Mathematical Programming |
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| FENG Junwen.Order Structure Analysis(OSA) for the Optimal Solutions of Multiple Objective Mathematical Programming[J].Journal of Systems Science and Systems Engineering,1994(1). | |
| Authors: | FENG Junwen |
| Abstract: | In this paper,a variety of solution concepts are trifled into an order structure framework,the concept of the order structure function(OSF) is presented,based on which, a now-type solution for MCDM-OSF-efficient solution or called in this study()-efficient solution,wed efficient solution and strong()-efficient solution,etc.,is proposed. It be been proved that the optimal solution of MCDM or MMP in verious senses,such as the Pareto efficient solution,G-efficient soluition,H-efficient solution,etc.,all can be considered as the special cases of the OSF-efficient solution for the special s and s.Finally,the application of the OSF-efficient solution is discussed. |
| Keywords: | multiobjective mathexnatical programming efficient solution order structure multiple criteria decision making |
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