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系統識別號 U0026-0807201617082900
論文名稱(中文) 發展直覺式二元模糊語意模型於群體決策問題
論文名稱(英文) Developing Intuitionistic 2-Tuple Fuzzy Linguistic Representation Models for Group Decision-Making Problems
校院名稱 成功大學
系所名稱(中) 工業與資訊管理學系
系所名稱(英) Department of Industrial and Information Management
學年度 104
學期 2
出版年 105
研究生(中文) 吳明璇
研究生(英文) Ming-Hsuan Wu
學號 R36044045
學位類別 碩士
語文別 中文
論文頁數 84頁
口試委員 指導教授-陳梁軒
口試委員-王泰裕
口試委員-施勵行
中文關鍵字 群體決策  直覺式二元模糊語意模型  直覺式語意尺度集合  直覺式三角模糊數 
英文關鍵字 Group decision-making  Intuitionistic 2-tuple fuzzy linguistic representation models  Intuitionistic linguistic term sets (ILTS)  Intuitionistic triangular fuzzy numbers 
學科別分類
中文摘要   二元模糊語意模型(2-Tuple Fuzzy Linguistic Representation Models)為一項對語意評估值進行運算、整合,避免資訊流失的決策工具。目前的研究當中,所有語意詞皆以三角模糊數表達。然而,若是在評估階段,專家對於選擇語意詞存在不同的不確定性,原本的三角模糊數將不足以表達專家內在之主觀評估。因此,本研究在群體偏好決策問題中,以加入不確定性的直覺式三角模糊數來表達直覺式語意尺度集合的語意詞,除了有歸屬度函數外,亦包含非歸屬度函數及猶豫資訊,擴大語意詞所能表示的不確定性及猶豫程度。而一般群體決策中,不同領域的專家,皆由同一個語意尺度集合取得語意詞來評定全部方案,可能對某些專家造成評估上的困難。
  針對上述問題,本研究建構直覺式二元模糊語意模型,運算、整合專家對各評選方案的語意偏好關係(linguistic preference relations),目的在於考量專家對於語意詞之選擇存在不確定性,且讓各專家可採用不同直覺式語意尺度集合挑選語意偏好值評估,再整合到同一個直覺式基本語意尺度集合。本研究所設定之決策流程包含四階段,第一階段中,允許專家各自使用不同直覺式語意尺度集合評估方案,得到的語意偏好評估值須轉到相同的直覺式基本語意尺度集合(Intuitionistic Basic Linguistic Term Set, IBLTS),而得到一組表達歸屬及非歸屬IBLTS中所有語意詞程度的直覺式模糊集合。在第二階段中,將多個專家轉換後的直覺式模糊集合,運用整合運算子整合,得到表達整體意見的決策矩陣。在第三階段中,將表達整體意見的集體直覺式模糊集合轉換成二元模糊語意值,以表示兩兩方案間偏好值在IBLTS中的語意落點。第四階段會使用選擇函數,決定出最佳方案。本研究期望利用直覺式語意尺度集合,使語意詞能夠表達專家對選擇語意詞之不確定性,以期更完整傳達專家內在之主觀評估。本研究以案例說明求解步驟,並分析整合專家意見之順序不同,對於方案排序之影響。
英文摘要 The 2-tuple fuzzy linguistic representation models are considered to be a decision approach intended to calculate and aggregate linguistic evaluations without the loss of information. In current research, all linguistic terms are represented by triangular fuzzy numbers. However, if experts choose linguistic terms with different degrees of uncertainty, the triangular fuzzy numbers are not enough to represent the internally subjective evaluations of experts. As a result, this thesis uses the intuitionistic triangular fuzzy numbers to represent the linguistic terms in the intuitionistic linguistic term set. The intuitionistic triangular fuzzy numbers are composed of membership function, non-membership function and hesitancy information, expanding the information the linguistic terms contain. In a decision-making problem with multiple experts, the use of one linguistic term set may cause problems for some experts.
To address these problems, this thesis develops the intuitionistic 2-tuple fuzzy linguistic representation models for group decision-making problems. The aim of this thesis is to consider that experts have different levels of uncertainty related to choosing linguistic terms and to allow them to use intuitionistic linguistic term sets with different granularity. The models consist of the following four stages: (1) We allow experts to use different intuitionistic linguistic term sets (ILTS) to obtain the linguistic preference values for each pair of alternatives. All the linguistic preference values are transformed into a specific linguistic term set, called the intuitionistic basic linguistic term set (IBLTS). Each linguistic preference value is expressed by means of an intuitionistic fuzzy set on the IBLTS, . (2) We use an aggregation operator for combining the intuitionistic fuzzy sets on the IBLTS to obtain the collective preference values for each pair of alternatives. (3) In this phase, we transform the intuitionistic fuzzy sets on the IBLTS into linguistic 2-tuple linguistic values over the IBLTS, a numerical value in the IBLTS granularity interval. (4) To facilitate the rank process, this phase uses a choice function to obtain the best alternative. This thesis looks forward to the use of intuitionistic linguistic term sets to express experts’ uncertainty in choosing linguistic terms and to convey more information in the internally subjective evaluations of experts. An example is used to demonstrate each step of our proposal models. Subsequently, the influence of both different order in which expert opinions are aggregated and different degrees of uncertainty among experts on the ranking results is analyzed.
論文目次 摘要 I
誌謝 IX
目錄 X
圖目錄 XII
表目錄 XIII
第一章 緒論 1
1.1 研究背景 1
1.2 研究動機與目的 2
1.3 研究流程 3
第二章 文獻探討 5
2.1 模糊集合理論 5
2.1.1 模糊集合 5
2.1.2 模糊數性質與運算 6
2.1.3 直覺式模糊集合與運算 7
2.1.4 直覺式三角模糊數 10
2.2 二元模糊語意 12
2.2.1 模糊語意方法 12
2.2.2 語意計算模型 15
2.2.3 二元模糊語意表示法 15
2.2.4 二元模糊語意表示法之語意計算模型 16
2.2.5 多粒度語意尺度之整合 18
2.2.6 異質資訊的轉換 22
2.2.7 延伸的二元模糊語意表示法 24
2.3 相對偏好關係 26
2.3.1 偏好關係形式 27
2.3.2 語意偏好相關文獻 29
第三章 直覺式二元模糊語意模型 31
3.1 問題描述 31
3.2 研究假設與限制 32
3.3 研究流程 32
3.4 模型建構與求解 34
3.4.1 符號定義 34
3.4.2 模型求解步驟 35
3.5 不確定性皆為零之特殊案例 46
第四章 案例分析 48
4.1 案例演算 48
4.1.1 先整合專家意見再計算語意落點之案例 48
4.1.2 先計算語意落點再整合專家意見之案例 57
4.2 整合順序對於方案排序之影響 61
第五章 結論與未來研究方向 80
5.1 研究結論 80
5.2 未來研究方向 81
參考文獻 82

參考文獻 Alonso, S., Cabrerizo, F. J., Chiclana, F., Herrera, F., Herrera-Viedma, E. (2009), “Group decision making with incomplete fuzzy linguistic preference relations,” International Journal of Intelligent Systems, 24 (2), 201-222.
Atanassov, K. T. (1986), “Intuitionistic fuzzy sets,” Fuzzy Sets and Systems, 20 (1), 87-96.
Atanassov, K. T. (1999), Intuitionistic Fuzzy Sets:Theory and Applications, Physica-Verlag, Heidelberg.
Chen, Y.-H., Wang, T.-C., Wu, C.-Y. (2011), “Multi-criteria decision making with fuzzy linguistic preference relations,” Applied Mathematical Modelling, 35 (3), 1322-1330.
Delgado, M., Verdegay, J. L., Vila, M. A. (1993), “On aggregation operations of linguistic labels,” International Journal Of Intelligent Systems, 8 (3), 351–370.
Delgado, M., Herrera, F., Herrera-Viedma, E., Martínez, L. (1998), “Combining numerical and linguistic information in group decision making,” Information Sciences, 107 (1–4), 177-194.
Dong, Y., Xu, Y., Li, H. (2008), “On consistency measures of linguistic preference relations,” European Journal of Operational Research, 189 (2), 430-444.
Dong, Y., Xu, Y., Yu, S. (2009), “Computing the numerical scale of the linguistic term set for the 2-tuple fuzzy linguistic representation model,” IEEE Transactions on Fuzzy Systems, 17 (6), 1366–1378.
Dubois, D., Prade, H. (1978), “Operations on Fuzzy Number,” International Journal of Systems Science, 9 (6), 613-626.
Espinilla, M., Liu, J., Martínez, L. (2011), “An extended hierarchical linguistic model for decision-making problems,” Computational Intelligence, 27 (3), 489-512.
Fisher, B. A. (1974), Small Group Decision Making: Communication and Group Process, McGraw-Hill, New York.
Garcia, J. M. T., del Moral, M. J., Martinez, M. A., Herrera-Viedma, E. (2012), “A consensus model for group decision making problems with linguistic interval fuzzy preference relations,” Expert Systems with Applications, 39 (11), 10022–10030.
Herrera, F., Herrera-Viedma, E., Verdegay, J. L. (1996), “Direct approach processes in group decision making using linguistic OWA operators,” Fuzzy Sets and Systems, 79 (2), 175-190.
Herrera, F., Herrera-Viedma, E. (2000), “Choice functions and mechanisms for linguistic preference relations,” European Journal of Operational Research, 120 (1), 144-161.
Herrera, F., Herrera-Viedma, E., Martínez, L. (2000), “A fusion approach for managing multi-granularity linguistic term sets in decision making,” Fuzzy Sets and Systems, 114 (1), 43–58.
Herrera, F., Martínez, L. (2000a), “A 2-tuple fuzzy linguistic representation model for computing with words,” IEEE Transactions on Fuzzy Systems, 8 (6), 746-752.
Herrera, F., Martínez, L. (2000b), “An approach for combining linguistic and numerical information based on the 2-tuple fuzzy linguistic representation model in decision-making,” International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 8 (5), 539-562.
Herrera, F., Martínez, L. (2001), “A model based on linguistic 2-tuples for dealing with multigranular hierarchical linguistic context in multi-expert decision making,” IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 31 (2), 227–234.
Herrera-Viedma, E., Herrera, F., Chiclana, F. (2002), “A consensus model for multiperson decision making with different preference structures,” IEEE Transactions on Systems, Man and Cybernetics, Part A: Systems and Humans, 32 (3), 394–402.
Herrera, F., Martínez, L., Sánchez, P. J. (2005), “Managing non-homogeneous information in group decision making,” European Journal of Operational Research, 166 (1), 115–132.
Herrera-Viedma, E., Martínez, L., Mata, F., Chiclana, F. (2005), “A consensus support system model for group decision-making problems with multigranular linguistic preference relations,” IEEE Transactions on Fuzzy Systems, 13 (5), 644-658.
Liu, H.-W., Wang, G.-J. (2007), “Multi-criteria decision-making methods based on intuitionistic fuzzy sets,” European Journal of Operational Research, 179 (1), 220–233.
Miller, G. A. (1956), “The magical number seven plus or minus two: Some limits on our capacity of processing information,” Psychological Review, 63 (2), 81–97.
Nagoorgani, A., Ponnalagu, K. (2012), “A New Approach on Solving Intuitionistic Fuzzy Linear Programming Problem,” Applied Mathematical Sciences, 6 (70), 3467 – 3474.
Rodríguez, R. M., Martínez, L., Herrera, F. (2012), “Hesitant fuzzy linguistic terms sets for decision making,” IEEE Transactions on Fuzzy Systems, 20 (1), 109–119.
Torra, V. (2010), “Hesitant fuzzy sets,” International Journal of Intelligent Systems, 25 (6), 529–539.
Wang, J.-H., Hao, J. (2006), “A new version of 2-tuple fuzzy linguistic representation model for computing with words,” IEEE Transactions on Fuzzy Systems, 14 (3), 435–445.
Xu, Z. S. (2004), “A method based on linguistic aggregation operators for group decision making with linguistic preference relations,” Information Sciences, 166 (1-4), 19-30.
Xu, Z. S. (2007), “Multiple-attribute group decision making with different formats of preference information on attributes,” IEEE Transactions on Systems, Man, and Cybernetics – Part B: Cybernetics, 37 (6), 1500-1511.
Xu, Z. S. (2012), Linguistic Decision Making: Theory and Methods, Springer, Heidelberg.
Yager, R. R. (1988), “On ordered weighted averaging aggregation operators in multicriteria decision making,” IEEE Transactions on Systems, Man and Cybernetics,18 (1), 183-190.
Zadeh, L. A. (1965), “Fuzzy sets,” Information and Control, 8 (3), 338-353.
Zadeh, L. A. (1975), “The concept of a linguistic variable and its application to approximate reasoning,” Information Sciences, 8 (3), 199–249.
Zhang, H.-M. (2013), “Some interval-valued 2-tuple linguistic aggregation operators and application in multiattribute group decision making,” Applied Mathematical Modelling, 37 (6), 4269–4282.
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