Multiple-Objective Decision-Making in the Past, Present and Future

多目標決策的過去、現在及未來

曾國雄(Gwo-Hshiung Tzeng)

《大葉學報》 12卷2期 (2003/12) Pp. 1-8

https://doi.org/10.7119/JDYU.200312.0001

摘要

自從Kuhn及Tucker在1951年提出向量最適化及非劣解的觀念以來，歷經Geoffrion及游伯龍等學者的補強，使得多目標決策理論如今得以發揚光大。此外，Charnes在1955年提出的目標規劃，及Bellman與Zadeh在1970年提出的模糊決策概念，亦使得多目標決策領域吸引許多學者投入，研究成果也更為活潑及多樣化。本研究回顧前八憼血，包括一些具指標性意義的研究，如模糊多目標規劃，模糊目標規劃，資料包絡分析及De-Novo規劃等。冀由回顧多目標決策的過去及了解多目標決策的現在發展，以利有心研究者發覺更多的新課題及未來研究方向。

關鍵字

模糊 ； 多目標 ； 資料包絡分析 ； De-Novo規劃

並列摘要

Since Kuhn and Tucker originally proposed the concept of a proper noninferior solution for solving nonlinear programming problems, which was later modified by Geoffrion, Yu further introduced a compromise solution method to cope with multicriteria decision-making problems. In addition, Charnes presented a goal-programming method, and Bellman and Zadeh proposed the concepts of decision-making in a fuzzy environment. Thus, many distinguished works have guided research in this field. This study reviews some methods concerning basic mathematical concepts of models applied to multiple-objective decision-marking problems, including fuzzy multi-objective linear programming (FMOLP), fuzzy goal programming (FGP), a two-phase method, an achievement function, data envelopment analysis (DEA), and De Novo Programming. According to the past and current developments in multiobjective programming, researchers are able to determine what they are interested in for future multicriteria decision-making problems.

並列關鍵字

fuzzy ； multi-objective ； data envelopment analysis ； DEA ； De-Novo programming