簡易檢索 / 詳目顯示

研究生: 蔡鎧屹
KAI-YI TSAI
論文名稱: 根據區間直覺模糊值之得分函數及正規化分數矩陣以作多屬性決策之新方法
Multiattribute Decision Making Using Score Function of Interval-Valued Intuitionistic Fuzzy Values and Normalized Score Matrices
指導教授: 陳錫明
Shyi-Ming Chen
口試委員: 陳錫明
Shyi-Ming Chen
呂永和
Yung-Ho Leu
程守雄
Shou-Hsiung Cheng
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: 2021
畢業學年度: 109
語文別: 英文
論文頁數: 75
中文關鍵詞: 決策矩陣區間直覺模糊值多屬性決策正規化分數矩陣得分函數分數矩陣
外文關鍵詞: Decision Matrix, Interval-Valued Intuitionistic Fuzzy Values, Multiattribute Decision Making, Normalized Score Matrix, Score Function, Score Matrix
相關次數: 點閱:301下載:0
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

本論文旨在根據區間值直覺模糊值之得分函數及正規化分數矩陣提出一個多屬性決策之新方法。首先,我們根據我們所提之區間直覺模糊值之得分函數以計算決策矩陣中各區間直覺模糊值的得分值以建構分數矩陣。然後,我們根據所得到之分數矩陣以建構正規化分數矩陣。然後,我們計算每個屬性之區間值直覺模糊權重之最佳權重。然後,我們根據所得到之正規化分數矩陣及所得到之各屬性區間值直覺模糊權重之最佳權重以建構加權正規化決策矩陣。然後,我們根據所得到之加權正規化決策矩陣以計算每個方案的加權分數。最後,我們根據每一個方案的加權分數對每一個方案進行排名。如果該方案的加權分數越大,則該方案的偏好順序越好。我們所提之多屬性決策方法克服了目前已存在之多屬性決策方法的缺點。我們所提之多屬性決策方法在區間值直覺模糊環境中提供了一個非常有用的方法以處理多屬性決策問題。


In this thesis, we propose a new multiattribute decision making method based on the proposed score function of interval-valued intuitionistic fuzzy values and normalized score matrices. Firstly, the proposed method computes the score value of each interval-valued intuitionistic fuzzy value in the decision matrix based on the proposed score function of interval-valued intuitionistic fuzzy values to build the score matrix. Then, it builds the normalized score matrix based on the obtained score matrix. Then, it calculates the optimal weight of the interval-valued intuitionistic fuzzy weight of each attribute. Then, based on the obtained normalized score matrix and the obtained optimal weight of the interval-valued intuitionistic fuzzy weight of each attribute, it builds the weighted normalized decision matrix. Then, based on the obtained weighted normalized decision matrix, it computes the weighted score value of each alternative. Finally, it ranks the alternatives based on the weighted score values of the alternatives. The larger the weighted score value of an alternative, the better the preference order of the alternative. The proposed multiattribute decision making method conquers the shortcomings of the existing multiattribute decision making methods. It provides a very useful way to us to deal with multiattribute decision making problems in interval-valued intuitionistic fuzzy environments.

Contents Abstract in Chinese Abstract in English Acknowledgements Contents Chapter 1 Introduction 1.1 Motivation 1.2 Related Literature 1.3 Organization of This Thesis Chapter 2 Preliminaries 2.1 Interval-Valued Intuitionistic Fuzzy Sets and Interval-Valued Intuitionistic Fuzzy Values 2.2 Cheng’s Score Function of Interval-Valued Intuitionistic Fuzzy Values 2.3 Ranking Method of Interval-Valued Intuitionistic Fuzzy Values 2.4 Connection Numbers 2.5 Score Function of Connection Numbers 2.6 Ranking Method of Connection Numbers 2.7 Bai’s Score Function of Interval-Valued Intuitionistic Fuzzy Values 2.8 Drawbacks of the Existing Score Functions 2.9 Summary Chapter 3 The Proposed Score Function of Interval-Valued Intuitionistic Fuzzy Values 3.1 The Proposed Score Function 3.2 Examples of The Proposed Score Function 3.3 Summary Chapter 4 Multiattribute Decision Making Based on Interval-Valued Intuitionistic Fuzzy Values, Score Function of Connection Numbers, and the Set Pair Analysis Theory 4.1 A Review of Kumar and Chen’s Multiattribute Decision Making Method 4.2 Drawbacks of Kumar and Chen’s Multiattribute Decision Making Method 4.3 Summary Chapter 5 Multiattribute Decision Making Based on the Proposed New Score Function of Interval-Valued Intuitionistic Fuzzy Values and Normalized Score Matrices 5.1 A New Multiattribute Decision Making Method 5.2 Application Examples 5.3 Summary Chapter 6 Conclusions 6.1 Contributions of This Thesis 6.2 Future Research References

[1] K. T. Atanassov, “Intuitionistic fuzzy sets,” Fuzzy Sets and Systems, vol. 20, no. 1, pp. 87-96, 1986.
[2] K. Atanassov and G. Gargov, “Interval valued intuitionistic fuzzy sets,” Fuzzy Sets and Systems, vol. 31, no. 3, pp. 343-349, 1989.
[3] Z. Y. Bai, “An interval-valued intuitionistic fuzzy TOPSIS method based on an improved score function,” The Scientific World Journal, vol. 2013, pp. 1-6, 2013.
[4] G. Büyüközkan, F. Göçer, and O. Feyzioğlu, “Cloud computing technology selection based on interval-valued intuitionistic fuzzy MCDM methods,” Soft Computing, vol. 22, no. 15, pp. 5091-5114, 2018.
[5] S. M. Chen and C. H. Chang, “Fuzzy multiattribute decision making based on transformation techniques of intuitionistic fuzzy values and intuitionistic fuzzy geometric averaging operators,” Information Sciences, vol. 352-353, pp. 133-149, 2016.
[6] S. M. Chen and C. H. Chiou, “Multiattribute decision making based on interval-valued intuitionistic fuzzy sets, PSO techniques, and evidential reasoning methodology,” IEEE Transactions on Fuzzy Systems, vol. 23, no. 6, pp. 1905-1916, 2015.
[7] S. M. Chen and Y. C. Chu, “Multiattribute decision making based on U-quadratic distribution of intervals and the transformed matrix in interval-valued intuitionistic fuzzy environments.” Information Sciences, vol. 537, pp. 30-45, 2020.
[8] S. M. Chen and K. Y. Fan, “Multiattribute decision making based on probability density functions and the variances and standard deviations of largest ranges of evaluating interval-valued intuitionistic fuzzy values,” Information Sciences, vol. 490, pp. 329-343, 2019.
[9] S. M. Chen and W. H. Han, “A new multiattribute decision making method based on multiplication operations of interval-valued intuitionistic fuzzy values and linear programming methodology,” Information Sciences, vol. 429, pp. 421-432, 2018.
[10] S. M. Chen and W. H. Han, “An improved MADM method using interval-valued intuitionistic fuzzy values,” Information Sciences, vol. 467, pp. 489-505, 2018.
[11] S. M. Chen and W. H. Han, “Multiattribute decision making based on nonlinear programming methodology, particle swarm optimization techniques and interval-valued intuitionistic fuzzy values,” Information Sciences, vol. 471, pp. 252-268, 2019.
[12] S. M. Chen and Z. C. Huang, “Multiattribute decision making based on interval-valued intuitionistic fuzzy values and particle swarm optimization techniques,” Information Sciences, vol. 397-398, pp. 206-218, 2017.
[13] S. M. Chen and Z. C. Huang, “Multiattribute decision making based on interval-valued intuitionistic fuzzy values and linear programming methodology,” Information Sciences, vol. 381, pp. 341-351, 2017.
[14] S. M. Chen and L. W. Kuo, “Multiattribute decision making based on non-linear programming methodology with hyperbolic function and interval-valued intuitionistic fuzzy values,” Information Sciences, vol. 453, pp. 379-388, 2018.
[15] S. M. Chen, L. W. Kuo, and X. Y. Zou, “Multiattribute decision making based on Shannon's information entropy, non-linear programming methodology, and interval-valued intuitionistic fuzzy values,” Information Sciences, vol. 465, pp. 404-424, 2018.
[16] S. M. Chen and W. T. Liao, “Multiple attribute decision making using Beta distribution of intervals, expected values of intervals, and new score function of interval-valued intuitionistic fuzzy values,” Information Sciences, 2021.
[17] S. M. Chen and W. H. Tsai, “Multiple attribute decision making based on novel interval-valued intuitionistic fuzzy geometric averaging operators,” Information Sciences, vol. 367-368, pp. 1045-1065, 2016.
[18] S. M. Chen and K. Y. Tsai, “Multiattribute decision making based on new score function of interval-valued intuitionistic fuzzy values and normalized score matrices,” submitted to Information Sciences, 2021.
[19] S. H. Cheng, “Autocratic multiattribute group decision making for hotel location selection based on interval-valued intuitionistic fuzzy sets,” Information Sciences, vol. 427, pp. 77-87, 2018.
[20] B. Fares, L. Baccour and A. M. Alimi, “Distance measures between interval valued intuitionistic fuzzy sets and application in multi-criteria decision making,” in: Proceedings of 2019 IEEE International Conference on Fuzzy Systems, New Orleans, Louisiana, U.S.A., 2019
[21] H. Garg and K. Kumar, “Improved possibility degree method for ranking intuitionistic fuzzy numbers and their application in multiattribute decision-making,” Granular Computing, vol. 4, no. 2, pp. 237-247, 2019.
[22] B. C. Giri, M. U. Molla, and P. Biswas, “Grey relational analysis method for SVTrNN based multi-attribute decision making with partially known or completely unknown weight information,” Granular Computing, vol. 5, no. 4, pp. 561-570, 2020.
[23] K. Guo and J. Zang, “Knowledge measure for interval-valued intuitionistic fuzzy sets and its application to decision making under uncertainty,” Soft Computing, vol. 23, no. 16, pp. 6967-6978, 2019.
[24] M. S. A. Khan, S. Abdullah, A. Ali, and F. Amin, “An extension of VIKOR method for multi-attribute decision-making under Pythagorean hesitant fuzzy setting,” Granular Computing, vol. 4, no. 3, pp. 421-434, 2019.
[25] K. Kumar and S. M. Chen, “Multiattribute decision making based on interval-valued intuitionistic fuzzy values, score function of connection numbers, and the set pair analysis theory,” Information Sciences, vol. 551, pp. 100-112, 2021.
[26] K. Kumar and S. M. Chen, “Multiattribute decision making based on converted decision matrices, probability density functions, and interval-valued intuitionistic fuzzy values,” Information Sciences, vol. 554, pp. 313-324, 2021.
[27] D. F. Li , “TOPSIS-based nonlinear-programming methodology for multiattribute decision making with interval-valued intuitionistic fuzzy sets,” IEEE Transactions on Fuzzy Systems, vol. 18, no. 2, pp. 299-311, 2010.
[28] X. Liu and L. Wang, “An extension approach of TOPSIS method with OWAD operator for multiple criteria decision-making,” Granular Computing, vol. 5, no. 1, pp. 135-148, 2020.
[29] Z. M. Ma and Z. S. Xu, “Computation of generalized linguistic term sets based on fuzzy logical algebras for multi-attribute decision making,” Granular Computing, vol. 5, no. 1, pp. 17-28, 2020.
[30] S. Manna, T. M. Basu, and S. K. Mondal, “Trapezoidal interval type-2 fuzzy soft stochastic set and its application in stochastic multi-criteria decision-making”, Granular Computing, vol. 4, no. 3, pp. 585-599, 2019.
[31] A. R. Mishra, A. Chandel, and D. Motwani, “Extended MABAC method based on divergence measures for multi-criteria assessment of programming language with interval-valued intuitionistic fuzzy sets,” Granular Computing, vol. 5, no. 1, pp. 97-117, 2020.
[32] A. R. Mishra, P. Rani, and K. R. Pardasani, “Multiple-criteria decision-making for service quality selection based on Shapley COPRAS method under hesitant fuzzy sets,” Granular Computing, vol. 4, no. 3, pp. 435-449, 2019.
[33] P. Phochanikorn, C. Tan, and W. Chen, “Barriers analysis for reverse logistics in Thailand’s palm oil industry using fuzzy multi-criteria decision-making method for prioritizing the solutions,” Granular Computing, vol. 5, no. 4, pp. 419-436, 2020.
[34] P. Rani, D. Jain, and D. S. Hooda, “Extension of intuitionistic fuzzy TODIM technique for multi-criteria decision making method based on Shapley weighted divergence measure,” Granular Computing, vol. 4, no. 3, pp. 407-420, 2019.
[35] Q. Shen, X. Huang, Y. Liu, Y. Jiang, and K. Zhao, “Multiattribute decision making based on the binary connection number in set pair analysis under an interval-valued intuitionistic fuzzy set environment,” Soft Computing, vol. 24, no. 10, pp. 7801-7809, 2020.
[36] C. Y. Wang and S. M. Chen, “Multiple attribute decision making based on interval-valued intuitionistic fuzzy sets, linear programming methodology, and the extended TOPSIS method,” Information Sciences, vol. 397-398, pp. 155-167, 2017.
[37] C. Y. Wang and S. M. Chen, “An improved multiattribute decision making method based on new score function of interval-valued intuitionistic fuzzy values and linear programming methodology,” Information Sciences, vol. 411, pp. 176-184, 2017.
[38] A. P. Wei, D. F. Li, P. P. Lin, and B. Q. Jiang, “An information-based score function of interval-valued intuitionistic fuzzy sets and its application in multiattribute decision making,” Soft Computing, vol. 25, no. 3, pp. 1913-1923, 2021.
[39] Z. S. Xu, “Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making,” Control and Decision, vol. 22, no. 2, pp. 215-219, 2007. (in Chinese)
[40] X. Y. Zou, S. M. Chen, and K. Y. Fan, “Multiple attribute decision making using improved intuitionistic fuzzy weighted geometric operators of intuitionistic fuzzy values,” Information Sciences, vol. 535, pp. 242-253, 2020.
[41] X. Y. Zou, S. M. Chen, and K. Y. Fan, “Multiattribute decision making using probability density functions and transformed decision matrices in interval-valued intuitionistic fuzzy environments,” Information Sciences, vol. 543, pp. 410-425, 2021.
[42] L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, no. 3, pp. 338-353, 1965.
[43] S. Zeng, S. M. Chen, and K. Y. Fan, “Interval,-valued intuitionistic fuzzy multiple attribute decision making based on nonlinear programming methodology and TOPSIS method,” Information Sciences, vol. 506, pp. 424-442, 2020.
[44] S. Zeng, S. M. Chen, and L. W. Kuo, “Multiattribute decision making based on novel score function of intuitionistic fuzzy values and modified VIKOR method,” Information Sciences, vol. 488, pp. 76-92, 2019.
[45] Z. Zhang, “Maclaurin symmetric means of dual hesitant fuzzy information and their use in multi-criteria decision making,” Granular Computing, vol. 5, no. 2, pp. 251-275, 2020.
[46] K. Q. Zhao, Set Pair Analysis and Its Preliminary Application, Zhejiang Science and Technology Press, Hangzhou, China, 2000. (in Chinese)
[47] Z. Zhitao and Z. Yingjun, “Multiple attribute decision making method in the frame of interval-valued intuitionistic fuzzy sets,” in: Proceedings of 2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery, Shanghai, China, 2011, pp. 192-196.

無法下載圖示 全文公開日期 2026/07/30 (校內網路)
全文公開日期 2026/07/30 (校外網路)
全文公開日期 2026/07/30 (國家圖書館:臺灣博碩士論文系統)
QR CODE