跳到主要內容

臺灣博碩士論文加值系統

(3.229.142.104) 您好!臺灣時間:2021/07/27 08:23
字體大小: 字級放大   字級縮小   預設字形  
回查詢結果 :::

詳目顯示

我願授權國圖
: 
twitterline
研究生:利俊霖
研究生(外文):Chun-LinLi
論文名稱:在直覺式模糊環境下考量增量分析之群體多準則決策方法
論文名稱(外文):Multi-criteria Decision Making Approaches Considering Incremental Analysis under Intuitionistic Fuzzy Environments
指導教授:陳梁軒陳梁軒引用關係
指導教授(外文):Liang-Hsuan Chen
學位類別:碩士
校院名稱:國立成功大學
系所名稱:工業與資訊管理學系碩博士班
學門:商業及管理學門
學類:其他商業及管理學類
論文種類:學術論文
論文出版年:2012
畢業學年度:100
語文別:中文
論文頁數:48
中文關鍵詞:直覺式模糊集合理論多準則決策增量分析
外文關鍵詞:Intuitionistic fuzzy sets theoryMultiple criteria Decision makingincremental analysis
相關次數:
  • 被引用被引用:0
  • 點閱點閱:101
  • 評分評分:
  • 下載下載:0
  • 收藏至我的研究室書目清單書目收藏:0
現實生活中常遇到面臨決策問題,在評估問題之際,決策資訊的不完整或是評估者的主觀意識均會影響到決策評估的結果。一些不易被明確定義的因素,或帶有模糊性的詞語,例如「優秀」、「很不錯」…等,這些詞語會根據不同人的意識而反映出不同的結果,可用模糊集合理論來解釋這些存在真實環境中具有不確定性、模糊性的問題。而直覺式模糊集合包含同意、不同意之歸屬度,因此在應用上能夠較模糊集合理論能保留更多決策者的資訊,並運用目前已知的知識及觀測來針對問題建立適合的決策模式。當於直覺式模糊集合環境下進行群體多準則決策之評估時,考量到多種影響因素以及計算上的複雜性,可能會遇到兩兩評估值過於接近或是相等,進而使得決策者無法得到正確的方案評估之排序。
針對上述問題,本研究建構一直覺式模糊環境下之群體多準則決策模式,以TOPSIS評估法用於解決多準則決策之問題,並加入增量分析以協助決策者對可行方案進行排序,給予決策者一客觀的評估分析。

Decision makers select alternatives by using their own subjective opinions . During the evaluation process, vague terms such as “excellent” or “very good” may be used, and in such cases intuitionistic fuzzy sets can be used to aid decision making, as these contain membership and non-membership functions, and can thus provide more information than ordinary fuzzy sets. However, due to the computational complexity and the many factors being considered, it is for decision makers to solve multi-criteria decision-making problems under intuitionistic fuzzy environments.
Therefore, this study constructed a multi-criteria decision-making model based on intuitionistic fuzzy sets. The modified TOPSIS method is used to solve multiple attribute group decision making problems under intuitionistic fuzzy environments, and in order to rank various alternatives, this approach utilizes incremental analysis to help select the best sequence in a more objective fashion.

目錄
摘要I
AbstractII
誌謝III
圖目錄VI
表目錄VII
第一章 緒論1
第一節 研究背景1
第二節 研究動機與目的2
第三節 研究範圍與限制2
第四節 研究流程3
第五節 論文架構4
第二章 文獻探討6
第一節 模糊集合理論6
第二節 直覺式模糊集合理論8
一、定義8
二、直覺式模糊運算子9
三、距離測度11
四、直覺模糊熵12
第三節 群體決策與多準則決策13
一、理想解相似度順序偏好法(TOPSIS)15
二、模糊環境下的多準則決策18
第四節 增量分析20
第三章 問題與模式求解23
第一節 研究構想23
一、問題描述23
二、研究假設24
第二節 模式建構流程24
第三節 模式建構與求解26
一、符號定義26
二、求解步驟27
第四章 案例分析33
第一節 案例演算33
第二節 案例比較40
第三節 小結41
第五章 結論與未來研究方向43
第一節 研究結論43
第二節 未來研究方向44
參考文獻45
圖目錄
圖 1-1 研究流程圖4
圖 2-1 梯形模糊數的歸屬函數7
圖 2-2 三角模糊數的歸屬函數8
圖 3-1 決策模式架構圖25
表目錄
表4-1 專家評估方案之權重33
表4-2 專家對決策評估之語意尺度34
表4-3 各方案與正理想解及負理想解之距離的計算結果37
表4-4 方案之利潤屬性對成本屬性之比值的運算值37
表4-5 各方案與正理想解及負理想解之距離的計算結果(α=1)38
表4-6 各方案與正理想解及負理想解之距離的計算結果(α=0)39
表4-7 根據決策者不同偏好α,方案之排序40
表4-8 一案例之各方案與正理想解及負理想解之距離的計算結果以及closeness coefficient之運算值40
表4-9 比較closeness coefficient與增量分析之運算值41

Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20(1): 87-96.
Atanassov, K. T. (1989).More on Intuitionistic fuzzy sets. Fuzzy Sets and Systems,33(1),37-46
Boran, F.E., Genc,S., Kurt, M. and Akay, D. (2009). A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method. Expert Systems with Applications,36,11363-11368.
Byun, H.S. and Lee, K.H. (2005). A decision support system for the selection of a rapid prototyping process using the modified TOPSIS method. The International Journal of Advanced Manufacturing Technology, 26(11-12), 1338-1347.
Chen, C. T. (2000). Extensions of the TOPSIS for group decision-making under fuzzy environment. Fuzzy Sets and Systems, 114, 1-9.
Chen, M.F. and Tzeng, G.H. (2004). Combining grey relation and TOPSIS concepts for selecting an expatriate Host Country. Mathematical and Computer Modelling,40,1473-1490.
Chen, S. and Tan, J. (1994). Handling multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets and Systems, 67(2): 163-172.
Cheng, E.W.L. and Heng, L.(2001). Analytic Hierarchy Process-An Approach to Determine Measures for Business Performance. Measuring Business Excellence,5,3,30-36.
De, S. K., Biswas, R. and Roy, A.R. (2000). Some Operations on Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems,114,477-484
Dubois, D. and Prade, H. (1978). Operations on fuzzy numbers. International Journal of Systems Science, 9, 613-626.
Feng, C.M. and Wang, R.T. (2000) Performance Evaluation for Airlines Including the Consideration of Financial Rations. Journal of Air Transport Management,Vol.6, 133-142.
Goumas,m., Lygerou,V. (2000). An extension of the PROMETHEE method for decision making in fuzzy environment: Ranking of alternative energy exploitation projects. European Journal of Operational Reasearch, 123, 606-613
Hung, K.C.,Yang, G.K., Chu, P. and Jin, W.T. (2008). An enhanced method and its application for fuzzy multi-criteria decision making based on vague sets. Computer-Aided Design, 40, 447-454.
Hwang, C. L. and Yoon, K. (1981). Multiple Attributes Decision Making: Methods and Applications. Berlin Heidelberg: Springer.
Izadikhah, M. (2009). Using the Hamming distance to extend TOPSIS in a fuzzy environment. Journal of Computational and Applied Mathematics, 231, 200-207.
Janic, M. (2003). Multicriteria Evaluation of High-Speed Rail, Transrapid Maglev and Air Passenger Transport in Europe. Transportation Planning and Technology,26(6),491-512.
Kennedy, D.J.L, Albert and MacCrimmon, R.A. (2000) . Inelastic incremental analysis of an industrial Pratt truss. Engineering Structures,22,146–154.
Lin, H.T. and Chang, W.L. (2008). Order Selection and Pricing Methods Using Flexible Quantity and Fuzzy Approach for Buyer Evaluation. European Journal of Operational Research,187(2),415-428.
Roy, B. (1971). Problems and Methods with Multiple Objective functions. Mathematical Programming,1(1),239-266.
Roy, B. (1991). The Outranking Approach and the Foundations of ELECTRE Methods. Theory and Decision,31(1),49-73.
Liu,H.W. and Wang,G.J. (2007). Multi-criteria decision-making methods based
on intuitionistic fuzzy sets. European Journal of Operational Research, 179, 220-233.
Shih, H. S., Shyur, H. J. and Lee, E. S. (2007). An extension of TOPSIS for group decision making. Mathematical and Computer Modelling, 45, 801-813
Shih, H. S. (2008). Incremental analysis for MCDM with an application to group TOPSIS. European Journal of Operational Reasearch,186,720-734.
Szmidt, E., Kacprzyk, J. (2000). Distance between Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems,114,505-518.
Szmidt, E., Kacprzyk, J. (2001). Entropy for Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems,118,467-477
Tseng, Y.J. and Lin, Y.H. (2005). A Model for Supplier Selection and Tasks Assignment. Journal of American of Business,Cambrige,6,2,197-207.
Wang, Y. M. and Elhag, T. M.S. (2006). Fuzzy TOPSIS method based on alpha level sets with an application to bridge risk assessment. Expert Systems with Applications, 31, 309-319.
Wang, W. and Xin, X. (2005). Distance Measure between Intuitionistic Fuzzy Sets. Pattern Recognition Letters, 26, 2063-2069.
Wang, X. and Triantaphyllou, E. (2008). Ranking irregularities when evaluating alternatives by using some ELECTRE methods. Omega.The International Journal of Management Science,Omega,36,45-63.
Wedley, W. C., Choo, E.U. and Schoner, B. (2001). Magnitude Adjustment for AHP Benefit/Cost Ratios. European Journal of Operational Research, 133, 342-351.
Wu,M.C.,Chen,T.Y. (2011). The ELECTRE multicriteria analysis approach based on Atanassov’s intuitionistic fuzzy sets. Expert Systems with Applications, 38, 12318-12327.
Yang, K. L. , Chu,. P and Chouhuang, W. T. (2004). Note on Incremental Benefit / Cost Ratios in Analytic Hierarchy Process. Mathematical and Computer Modelling,39,279-286.
Ye, J. (2010). Fuzzy decision-making method based on the weighted correlation coefficient under intuitionistic fuzzy environment. European Journal of Operational Research,205,
Xia, M. , Xu, Z. (2012). Entropy/cross entropy-based group decision making under intuitionistic fuzzy environment. Information Fusion, 13,31-47.
Xu, Z.S. (2007). Intuitionistic Fuzzy Aggregation Operators. IEEE Transaction of Fuzzy Systems, 15(6), 1179-1187.
Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338-353.
Zadeh, L. A. (1975). The concept of a linguistic variable and its application to approximate reasoning. Information Sciences, 8, 199-249.
Zhang, S.F. and Liu, S.Y. (2011). A GRA-based intuitionistic fuzzy multi-criteria group decision making method for personnel selection. Expert Systems with Applications,38,11401-11405.

連結至畢業學校之論文網頁點我開啟連結
註: 此連結為研究生畢業學校所提供,不一定有電子全文可供下載,若連結有誤,請點選上方之〝勘誤回報〞功能,我們會盡快修正,謝謝!
QRCODE
 
 
 
 
 
                                                                                                                                                                                                                                                                                                                                                                                                               
第一頁 上一頁 下一頁 最後一頁 top
無相關論文