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題名:Multiple-Objective Decision-Making in the Past, Present and Future
書刊名:大葉學報
作者:曾國雄
作者(外文):Tzeng, Gwo-hshiung
出版日期:2003
卷期:12:2
頁次:頁1-8
主題關鍵詞:模糊多目標資料包絡分析De-Novo規劃FuzzyMulti-objectiveData envelopment analysisDEADe-Novo programming
原始連結:連回原系統網址new window
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     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。本研究回顧前人心血,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。
     Since Kuhn and Tucker [14] originally proposed the concept of a proper noninferior solution for solving nonlinear programming problems, which was later modified by Geoffrion [8], Yu [35] further introduced a compromise solution method to cope with multicriteria decision-making problems. In addition, Charnes [4] presented a goal-programming method, and Bellman and Zadeh [2] 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-making problems, including fuzzy multiobjective 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.
期刊論文
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4.Geoffrion, A. M.(1967)。Solving bicriteria mathematical programs。Operations Research,15(1),39-54。  new window
5.Ida, K.、Gen, M.(1997)。Improvement of two-phase approach for solving fuzzy multiple objective linear programming。Journal of Japan Society for Fuzzy Theory and System,19(1),115-121。  new window
6.Sakawa, M.(1984)。Interactive fuzzy goal programming for multiobjective nonlinear problems and its application to water quality management。Control and Cybernetics,13(2),217-228。  new window
7.Sakawa, M.、Kato, K.、Sundad, H.、Enda, Y.(1995)。An interactive fuzzy satisfying method for multiobjective 0-1 programming problems through revised genetic algorithms。Journal of Japan Society for Fuzzy Theory and System,17(2),361-370。  new window
8.Shi, Y.(1995)。Studies on optimum-path ratios in multi-criteria De Novo programming problems。Computers and Mathematics with Applications,29(5),43-50。  new window
9.Hibano, T.、Sakawa, M.、Obata, H.(1996)。Interactive decision making for multiobjective 0-1 programming problems with fuzzy parameters through genetic algorithms。Journal of Japan Society for Fuzzy Theory and System,18(6),1144-1153。  new window
10.Shih, H. S.、Lai, Y. J.、Lee, E. S.(1996)。Fuzzy approach for multi-level mathematical programming problems。Computers and Operations Research,23(1),73-91。  new window
11.Shih, H. S.、Lee, E. S.(1999)。Fuzzy multi-level minimum cost flow problem。Fuzzy Sets and Systems,107(2),159-176。  new window
12.Tamiz, M.、Jones, D. F.、El-Darzi, E.(1995)。A review of goal programming and its applications。Annuals of Operations Research,58(1),39-53。  new window
13.Werners, B.(1987)。Interactive multiple objective programming subject to flexible constraints。European Journal of Operational Research,31(2),342-349。  new window
14.Zeleny, M.(1995)。Trade-offs-free management via De Novo programming。International Journal of Operations and Quantitative Management,1(1),3-13。  new window
15.Lee, E. S.、Li, R. J.(1993)。Fuzzy multiple objective programming and compromise programming with Pareto optima。Fuzzy Sets and Systems,53,275-288。  new window
16.Ohta, H.、Yamaguchi, T.(1995)。Multi-goal programming including fractional goal in consideration of fuzzy solutions。Journal ofJapan Society for Fuzzy Theory and System,7(7),1221-1228。  new window
17.Romero, C.(2001)。Extended lexicographic goal programming: a unifying approach。Omega,29(1),63-71。  new window
18.Sakawa, M.、Yumine, T.(1983)。Interactive fuzzy decision making for multi-objective linear fractional programming problems。Large Scale System,5(1),105-114。  new window
19.Sakawa, M.、Yano, H.(1985)。Interactive decision making for multi-objective linear fractional programming problems with parameters。Cybernetics and Systems,16(3),377-394。  new window
20.Cooper, W. W.、Charnes, A.、Ferguson, R. O.(1955)。Optimal estimation of executive compensation by linear programming。Management Science,1(2),138-151。  new window
21.Zeleny, M.(1986)。Optimal System Design with Multiple Criteria: De Novo Programming Approach。Engineering Cost Production Economics,10(1),89-94。  new window
22.Zimmermann, H. J.(1978)。Fuzzy Programming and linear programming with several objective functions。Fuzzy Sets and Systems,1(1),45-55。  new window
23.Banker, Rajiv D.、Charnes, Abraham、Cooper, William Wager(1984)。Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis。Management Science,30(9),1078-1092。  new window
24.Yu, P. L.(1973)。A class of solutions for group decision problems。Management Science,19(8),936-946。  new window
25.Bellman, R. E.、Zadeh, L. A.(1970)。Decision-making in a fuzzy environment。Management Science,17(4),B141-B164。  new window
26.Charnes, Abraham、Cooper, William W.、Rhodes, Edwardo(1978)。Measuring the efficiency of decision making units。European Journal of Operational Research,2(6),429-444。  new window
27.Mactinson, F. K.(1993)。Fuzzy vs. Minmax Weighted Multiobjective Linear Programming illustrative comparisons。Decision Sciences,24(4),809-824。  new window
28.Sakawa, M.(1983)。Interactive Computer Programs for Fuzzy Linear Programming with Multiple Objectives。International Journal of Man-machine Studies,18(5),489-503。  new window
會議論文
1.Kuhn, H.、Tucker, A.(1951)。Nonlinear programming。The 2nd Berkeley Symposium on Mathematical Statistics and Probabilistic。Berkeley, CA:University of California Press。481-492。  new window
圖書
1.Ignizio, J. P.(1976)。Goal Programming and Extensions。D. C. Health。  new window
2.Iriji, Y.(1965)。Management Goals and Accounting for Control。Amsterdam:North-Holland。  new window
3.Lee, S. M.(1972)。Goal programming for decision analysis。Philadelphia, PA。  new window
4.Romero, C.(1991)。Handbook of critical issues in goal programming。Oxford:Cambridge, England:Oxford Pergamon Press。  new window
5.Charnes, A.、Cooper, W. W.(1961)。Management Models and Industrial Applications of Linear Programming。New York, NY:John Wiley & Sons。  new window
6.Goldberg, David Edward(1989)。Genetic Algorithms in Search, Optimization, and Machine Learning。Boston, MA:Addison-Wesley。  new window
7.Yu, Po-Lung(1985)。Multiple-Criteria Decision Making, Concepts, Techniques, and Extensions。Plenum Press。  new window
8.Hwang, Ching-Lai、Yoon, Kwangsun(1981)。Multiple Attribute Decision Making Methods and Applications A State-of-the-Art Survey。Springer-Verlag。  new window
9.Sakawa, Masatoshi(1993)。Fuzzy Sets and Interactive Multiobjective Optimization。Boston, MA。  new window
圖書論文
1.Zeleny, M.(1981)。A case study in multiple objective design: De Novo programming。Multiple Criteria Analysis, Operational Methods。Hampshire:Gower Publishing Co.。  new window
2.Chiang, C. I.、Tzeng, G. H.(2000)。A Multiple Objective Programming Approach to Data Envelopment Analysis。New Frontiers of Decision Making for the Information Technology Era。World Scientific Publishing Company。  new window
 
 
 
 
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