簡易檢索 / 詳目顯示

研究生: 林琮恩
Tsung-en Lin
論文名稱: 根據模糊偏好關係及一致性矩陣以作群體決策之新方法
New Group Decision Making Methods Based on Fuzzy Preference Relations and Consistency Matrices
指導教授: 陳錫明
Shyi-Ming Chen
口試委員: 陳錫明
Shyi-Ming Chen
李立偉
none
蕭瑛東
none
呂永和
none
學位類別: 碩士
Master
系所名稱: 電資學院 - 資訊工程系
Department of Computer Science and Information Engineering
論文出版年: 2013
畢業學年度: 101
語文別: 英文
論文頁數: 80
中文關鍵詞: 模糊偏好關係一致性矩陣一致性程度群體決策
外文關鍵詞: fuzzy preference relation, consistency matrix, consistency degree, group decision making
相關次數: 點閱:239下載:1
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報
  • 群體決策是一個重要的研究課題,近年來,有些根據模糊偏好關係的群體決策方法被提出。在某些情況,模糊偏好關係中的值可能是未知或不確定,於是有些用來計算不完整模糊偏好關係中未知值或不確定的值的方法被提出。近年來,已有一些根據不完整模糊偏好關係來作群體決策的方法被提出。在本篇論文中,我們根據模糊偏好關係與一致性矩陣提出了兩個新的群體決策方法。在本論文的第一個方法中,我們根據加法一致性及有序一致性之一致性程度提出一個新的方法以處理不完整模糊偏好關係之群體決策問題。在本論文的第二個方法中,我們根據區間模糊偏好關係及一致性矩陣提出一個新的方法以處理根據群體建議的群體決策問題。在本論文中所提之兩個群體決策均能提供我們有用的方法以處理群體決策問題。


    Group decision making is an important research topic. In recent years, some group decision making methods based on fuzzy preference relations have been presented. Because there may be situations where some values in preference relations may be unknown or incomplete, some methods have been presented to estimate the unknown or incomplete values in incomplete fuzzy preference relations. In recent years, some group decision making methods based on incomplete fuzzy preference relations have been presented. In this thesis, we present two new methods for group decision making based on fuzzy preference relations and consistency matrices. In the first method of this thesis, we present a new method for group decision making using incomplete fuzzy preference relations based on the additive consistency and the order consistency with consistency degrees. In the second method of this thesis, we present a new method for group decision making using group recommendations based on interval fuzzy preference relations and consistency matrices. The two new methods presented in this thesis provide us with a useful way for dealing group decision making problems.

    Abstract in Chinese ...i Abstract in English ...ii Acknowledgements ...iii Contents ...iv List of Figures and Tables ...vi Chapter 1 Introduction ...1 1.1 Motivation ...1 1.2 Related Literature ...3 1.3 Organization of This thesis ...6 Chapter 2 Preliminaries ...8 2.1 Fuzzy Preference Relations ...8 2.2 Incomplete Fuzzy Preference Relations ...10 2.3 Interval Fuzzy Preference Relations ...11 2.4 Summary ...12 Chapter 3 A Review of Existing Methods for Group Decision Making ...13 3.1 A Review of Lee’s Method [18] ...13 3.2 A Review of Xu and Liu’s Method [35] ...18 3.3 Summary ...23 Chapter 4 Group Decision Making Using Incomplete Fuzzy Preference Relations Based on the Additive Consistency and the Order Consistency with Consistency Degrees ...24 4.1 Estimating Unknown Preference Values in An Incomplete Fuzzy Preference Relation and Constructing A Consistency Matrix Based on the Additive Consistency and the Order Consistency with Consistency Degrees ...24 4.2 A New Method for Group Decision Making Using Incomplete Fuzzy Preference Relations Based on the Additive Consistency and the Order Consistency with Consistency Degrees ...36 4.3 Summary ...51 Chapter 5 Group Decision Making Using Group Recommendations Based on Interval Fuzzy Preference Relations and Consistency Matrices ...52 5.1 A New Method for Group Decision Making Using Group Recommendations Based on Interval Fuzzy Preference Relations and Consistency Matrices ...52 5.2 Numerical Examples ...57 5.3 Summary ...72 Chapter 6 Conclusions ...74 6.1 Contributions of This Thesis ...74 6.2 Future Research ...75 References ...76

    [1] S. Alonso, F. J. Cabrerizo, F. Chiclana, F. Herrera, and E. Herrera-Viedma, “Group decision making with incomplete fuzzy linguistic preference relations,” International Journal of Intelligent Systems, vol. 24, no. 1, pp. 201-222, 2009.
    [2] S. Alonso, F. Chiclana, F. Herrera, E. Herrera-Viedma, J. Alcala-Fdez, and C. Porcel, “A consistency-based procedure to estimate missing pairwise preference values,” International Journal of Intelligent Systems, vol. 23, no. 1, pp. 155-175, 2008.
    [3] S. Alonso, E. Herrera-Viedma, F. Chiclana, and F. Herrera, “Individual and social strategies to deal with ignorance situations in multi-person decision making,” International Journal of Information Technology and Decision Making, vol. 8, no. 2, pp. 313-333, 2009.
    [4] S. Alonso, E. Herrera-Viedma, F. Chiclana, and F. Herrera, “A web based consensus support system for group decision making problems and incomplete preferences,” Information Sciences, vol. 180, no. 23, pp. 4477-4495, 2010.
    [5] D. Ben-Arieh and Z. Chen, “Linguistic-labels aggregation and consensus measure for autocratic decision making using group recommendations,” IEEE Transactions on Systems, Man, and Cybernetics – Part A: Systems and Humans, vol. 36, no. 3, pp. 558-568, 2006.
    [6] G. Büyüközkan and G. Çifçi, “A new incomplete preference relations based approach to quality function deployment,” Information Sciences, vol. 206, no. 5, pp. 30-41, 2012.
    [7] S. M. Chen and L. W. Lee, “Autocratic decision making using group recommendations based on the ILLOWA operators and likelihood-based comparison relations,” IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems and Humans, vol. 42, no. 1, pp. 115-129, 2012.
    [8] S. M. Chen, L. W. Lee, S. W. Yang, and T. W. Sheu, “Adaptive consensus support model for group decision making systems,” Expert Systems with Applications, vol. 39, no. 16, pp. 12580-12588, 2012.
    [9] S. M. Chen, T. E. Lin, and L. W. Lee, “A new method for group decision making using incomplete fuzzy preference relations based on the additive consistency and the order consistency,” Proceedings of the 2013 International Conference on Machine Learning and Cybernetics, Tianjin, China, 2013.
    [10] S. M. Chen and S. J. Niou, “Fuzzy multiple attributes group decision-making based on fuzzy preference relations,” Expert Systems with Applications, vol. 38, no. 4, pp. 3865-3872, 2011.
    [11] F. Chiclana, E. Herrera-Viedma, S. Alonso, and F. Herrera, “Cardinal consistency of reciprocal preference relations: A characterization of multiplicative transitivity,” IEEE Transactions on Fuzzy Systems, vol. 17, no. 1, pp. 14-23, 2009.
    [12] S. Genc, F. E. Boran, D. Akay, and Z. Xu, “Interval multiplicative transitivity for consistency, missing values and priority weights of interval fuzzy preference relations,” Information Sciences, vol. 180, no. 24, pp. 4877-4891, 2010.
    [13] E. Herrera-Viedma, S. Alonso, F. Chiclana, and F. Herrera, “A consensus model for group decision making with incomplete fuzzy preference relations,” IEEE Transactions on Fuzzy Systems, vol. 15, no. 5, pp. 863-877, 2007.
    [14] E. Herrera-Viedma, F. Chiclana, F. Herrera, and S. Alonso, “Group decision-making model with incomplete fuzzy preference relations based on additive consistency,” IEEE Transactions on Systems, Man and Cybernetics-Part B: Cybernetics, vol. 37, no. 1, pp. 176-189, 2007.
    [15] E. Herrera-Viedma, F. Herrera, and F. Chiclana, “A consensus model for multiperson decision making with different preference structures,” IEEE Transactions on Systems, Man and Cybernetics-Part A: Systems and Humans, vol. 32, no. 3, pp. 394-402, 2002.
    [16] E. Herrera-Viedma, L. Martínez, F. Mata, and F. Chiclana, “A consensus support system model for group decision-making problems with multigranular linguistic preference relations,” IEEE Transactions on Fuzzy Systems, vol. 13, no. 5, pp. 644-658, 2005.
    [17] J. Kacprzyk, M. Fedrizzi, and H. Nurmi, “Group decision making and consensus under fuzzy preferences and fuzzy majority,” Fuzzy Sets and Systems, vol. 49, no. 1, pp. 21-31, 1992.
    [18] L. W. Lee, “Group decision making with incomplete fuzzy preference relations based on the additive consistency and the order consistency,” Expert Systems with Applications, vol. 39, no. 14, pp. 11666-11676, 2012.
    [19] D. F. Li, “Closeness coefficient based nonlinear programming method for interval-valued intuitionistic fuzzy multiattribute decision making with incomplete preference information,” Applied Soft Computing, vol. 11, no. 4, pp. 3402-3418, 2011.
    [20] F. Liu, W. G. Zhang, and Z. X. Wang, “A goal programming model for incomplete interval multiplicative preference relations and its application in group decision-making,” European Journal of Operational Research, vol. 218, no. 3, pp.747-754, 2012.
    [21] F. Mata, L. Martínez, and E. Herrera-Viedma, “An adaptive consensus support model for group decision-making problems in a multigranular fuzzy linguistic context,” IEEE Transactions on Fuzzy Systems, vol. 17, no. 2, pp. 279-290, 2009.
    [22] I. J. Perez, F. J. Cabrerizo, and E. Herrera-Viedma, “A mobile decision support system for dynamic group decision-making problems,” IEEE Transactions on Systems, Man and Cybernetics-Part A: Systems and Humans, vol. 40, no. 6, pp. 1244-1256, 2010.
    [23] T. Tanino, “Fuzzy preference orderings in group decision making,” Fuzzy Set and Systems, vol. 12, no. 2, pp. 117-131, 1984.
    [24] J. M. Tapia-García, M. J. del Moral, M. A. Martínez, and E. Herrera-Viedma, “A consensus model for group decision making problems with linguistic interval fuzzy preference relations,” Expert Systems with Applications, vol. 39, no. 11, pp. 10022-10030, 2012.
    [25] T. C. Wang and Y. H. Chen, “Incomplete fuzzy linguistic preference relations under uncertain environments,” Information Fusion, vol. 11, no. 2, pp. 201-207, 2010.
    [26] Z. J. Wang and K. W. Li, “An interval-valued intuitionistic fuzzy multiattribute group decision making framework with incomplete preference over alternatives,” Expert Systems with Applications, vol. 39, no. 18, pp. 13509-13516, 2012.
    [27] J. Wu, J. C. Li, H. Li, and W. Q. Duan, “The induced continuous ordered weighted geometric operators and their application in group decision making,” Computers and Industrial Engineering, vol. 56, no. 4, pp. 1545-1552, 2009.
    [28] Z. Wu and J. Xu, “A concise consensus support model for group decision making with reciprocal preference relations based on deviation measures,” Fuzzy Sets and Systems, vol. 206, pp. 58-73, 2012.
    [29] Z. S. Xu, “Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation,” International Journal of Approximate Reasoning, vol. 36, no. 3, pp. 261-270, 2004.
    [30] Z. S. Xu, “Multiple-attribute group decision making with different formats of preference information on attributes,” IEEE Transactions on Systems, Man and Cybernetics-Part B: Cybernetics, vol. 37, no. 6, pp. 1500-1511, 2007.
    [31] Z. Xu, “A method based on linguistic aggregation operators for group decision making with linguistic preference relations,” Information Sciences, vol. 166, no.1-4, pp. 19-30, 2004.
    [32] Z. Xu, “Group decision making based on multiple types of linguistic preference relations,” Information Sciences, vol. 178, no. 2, pp. 452-467, 2008.
    [33] Z. Xu, “Consistency of interval fuzzy preference relations in group decision making,” Applied Soft Computing, vol. 11, no. 5, pp. 3898-3909, 2011.
    [34] Z. Xu and X. Cai, “Incomplete interval-valued intuitionistic fuzzy preference relations,” International Journal of General Systems, vol. 38, no. 8, pp. 871-886, 2009.
    [35] G. L. Xu and F. Liu, “An approach group decision making based on interval multiplicative and fuzzy preference relations by using projection,” Applied Mathematical Modelling, vol. 37, no. 6, pp. 3929-3943, 2013.

    QR CODE