臺灣博碩士論文加值系統

近幾年來，有一些學者專家提出以區間Type-2模糊集合以作模糊多屬性決策的方法。在本論文中，我們根據區間Type-2模糊集合之排序，提出一個新的模糊多屬性決策方法。首先，我們提出一個新的方法以對區間Type-2模糊集合作排序。然後，根據我們所提的區間Type-2模糊集合排序之新方法，我們提出一個新的模糊多屬性群體決策方法。在本論文中，我們亦根據區間直覺模糊值的排序提出一個新的多準則模糊決策方法，其中區間直覺模糊值被用來表示決策者對候選者之評估值。首先，我們提出一個新方法以對區間直覺模糊值作排序。然後，根據我們所提之區間直覺模糊值排序之新方法，我們提出一個新的多準則模糊決策之新方法。在本論文中所提的方法能提供有用的方法以處理模糊多屬性群體決策問題及多準則模糊決策問題。

In recent years, some researchers proposed fuzzy multiple attributes group decision making methods based on ranking interval type-2 fuzzy sets. In this thesis, we present a new method for fuzzy multiple attributes group decision making based on ranking interval type-2 fuzzy sets. First, we present a new method for ranking interval type-2 fuzzy sets. Then, we present a new method for multiple attributes group decision making based on the proposed ranking method of interval type-2 fuzzy sets. In this thesis, we also present a new method for multicriteria fuzzy decision making based on ranking interval-valued intuitionistic fuzzy sets, where interval-valued intuitionistic fuzzy values are used to represent evaluating values of the decision-maker with respect to alternatives. First, we propose a new method for ranking interval-valued intuitionistic fuzzy values. Based on the proposed fuzzy ranking method of interval-valued intuitionistic fuzzy values, we propose a new method for multicriteria fuzzy decision making. The methods presented in this thesis provide us useful ways for dealing with fuzzy multiple attributes group decision making problems and multicriteria fuzzy decision making problems.

Abstract in Chinese
Abstract in English
Acknowledgement
Contents
List of Figures and Tables
Chapter 1 Introduction
1.1 Motivation
1.2 Related Literature
1.3 Organization of This Thesis
Chapter 2 Preliminaries
2.1 Type-1 Fuzzy Sets and Interval Type-2 Fuzzy Sets
2.2 Intuitionistic Fuzzy Sets and Interval-Valued Intuitionistic Fuzzy Sets
2.3 Summary
Chapter 3 A New Method for Fuzzy Multiple Attributes Group Decision Making Based on Ranking Interval Type-2 Fuzzy Sets
3.1 Trapezoidal Interval Type-2 Fuzzy Sets
3.2 A Comparison of the Ranking Results of the Second Fuzzy Ranking Method with Existing Methods
3.3 Fuzzy Multiple Attributes Group Decision making by Ranking Interval Type-2 Fuzzy Sets
3.4 Examples
3.5 Summary
Chapter 4 A New Method for Multicriteria Fuzzy Decision Making Based on Ranking Interval-Valued Intuitionistic Fuzzy Values
4.1 Analysis of the Accuracy Functions for Interval-Valued Intuitionistic Fuzzy Values
4.2 A New Method for Ranking Interval-Valued Intuitionistic Fuzzy Values
4.3 Existing Methods for Multicriteria Fuzzy Decision Making in the Interval-Valued Intuitionistic Fuzzy Environment
4.4 A New Multicriteria Fuzzy Decision Making Method Based on Ranking Interval-Valued Intuitionistic Fuzzy Values
4.5 Summary
Chapter 5 Conclusions
5.1 Contributions of This Thesis
5.2 Future Research
References

[1]K. T. Atanassov, “Intuitionistic fuzzy sets,” Fuzzy Sets and Systems, vol. 20, no. 1, pp. 87-96, 1986.
[2]K. T. Atanassov and G. Gargov, “Interval valued intuitionistic fuzzy sets,” Fuzzy Sets and Systems, vol. 31, no. 3, pp. 343-349, 1989.
[3]K. T. Atanassov, “Operators over interval valued intuitionistic fuzzy sets,” Fuzzy Sets and Systems, vol. 64, no. 2, pp. 159-174, 1994.
[4]G. Bortolan and R. Degani, “A review of some methods for ranking fuzzy subsets,” Fuzzy Sets and Systems, vol. 15, no. 1, pp. 1-9, 1985.
[5]C. T. Chen, “Extensions of the TOPSIS for group decision making under fuzzy environment,” Fuzzy Sets and Systems, vol. 114, no. 1, pp. 1-9, 2000.
[6]S. M. Chen, “Fuzzy group decision making for evaluating the rate of aggregative risk in software development,” Fuzzy Sets and Systems, vol. 118, no. 1, pp. 75-88, 2001.
[7]S. M. Chen and S. J. Chen, “A new method for handing multicriteria fuzzy decision making problems using FN-IOWA operators,” Cybernetics and Systems, vol. 34, no. 2, pp. 109-137, 2003.
[8]S. M. Chen and J. H. Chen, “Fuzzy rank analysis based on ranking generalized fuzzy numbers with different heights and different spreads,” Expert Systems with Applications, vol. 36 no. 3 pp. 6833-6842, 2009.
[9]S. M. Chen and S. J. Chen, “Fuzzy risk analysis based on the ranking of generalized trapezoidal fuzzy numbers,” Applied Intelligence, vol. 26, no. 1, pp. 1-11, 2007.
[10]C. H. Cheng, “A new approach for ranking fuzzy numbers by distance method,” Fuzzy Sets and Systems, vol. 95, no. 3, pp. 307-317, 1998.
[11]T. C. Chu, “Ranking fuzzy numbers with an area between the centroid point and original point,” Computers and Mathematics with Applications, vol. 43, no. 1, pp. 111-117, 2002.
[12]Y. Deng and Q. Liu, “A TOPSIS-based centroid-index ranking method of fuzzy numbers and it’s application in decision making,” Cybernetics and Systems, vol. 36, no. 6, pp. 581-595, 2005.
[13]Z. P. Fan and Y. Liu, “A method for group decision making based on multi-granularity uncertain linguistic information,” Expert Systems with Applications, vol. 37, no. 5, pp. 4000-4008, 2010.
[14]G. Fu, “A fuzzy optimization method for multicriteria decision making: An application to reservoir flood control operation,” Expert Systems with Applications, vol. 34, no. 1, pp. 145-149, 2008.
[15]W. L. Gau and D. J. Buehrer, “Vague sets,” IEEE Transactions on Systems, Man, and Cybernetics, vol. 23, no. 2, pp. 610-614, 1993.
[16]Z. T. Gong and Y. Ma, “Multicriteria fuzzy decision making method under interval-valued intuitionistic fuzzy environment,” Proceedings of the 2009 International Conference on Machine Learning and Cybernetics, pp. 728-731, Baoding, Hebei, China, 2009.
[17]L. C. Hwang and K. Yoon, Multiple Attributes Decision Making Methods and Applications, Berlin, Heidelberg: Springer, 1981.
[18]L. W. Lee and S. M. Chen, “Fuzzy multiple attributes group decision making based on ranking values and the arithmetic operations of interval type-2 fuzzy sets,” Expert Systems with Applications, vol. 37, no. 1, pp. 824-833, 2010.
[19]L. W. Lee and S. M. Chen, “Fuzzy multiple attributes group decision making based on interval type-2 TOPSIS method,” Expert Systems with Applications, vol. 37, no. 4, pp. 2790-2798, 2010.
[20]W. Lee, “A novel method for ranking interval-valued intuitionistic fuzzy numbers and its application to decision making,” Proceedings of the 2nd IEEE International Conference on Intelligent Human-Machine Systems and Cybernetics, vol. 2, pp. 282-285, 2009.
[21]W. Lee, “An enhanced multicriteria decision making method of machine design schemes under interval-valued intuitionistic fuzzy environment,” Proceedings of the 10th IEEE International Conference on Computer-Aided Industrial Design ＆ Conceptual Design, pp. 721-725, 2009.
[22]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.
[23]D. F. Li, “Linear programming method for MADM with interval-valued intuitionistic fuzzy sets,” Expert Systems with Applications, vol. 37, no. 8, pp. 5939-5945, 2010.
[24]C. J. Lin and W. W. Wu, “A causal analytical method for group decision making under fuzzy environment,” Expert Systems with Applications, vol. 34, no. 1, pp. 205-213, 2008.
[25]Y. Liu and N. Xie, “Amelioration operators of fuzzy number intuitionistic fuzzy geometric and their application to multi-criteria decision making,” Proceedings of the 48th IEEE International Conference on Decision and Control, pp. 6172-6176, 2009.
[26]Y. Luo, J. Ye, and X. Ma, “Multicriteria fuzzy decision making method based on weighted correlation coefficients under interval-valued intuitionistic fuzzy environment,” Proceedings of the 10th IEEE International Conference on Computer-Aided Industrial Design ＆ Conceptual Design, pp. 2057-2060, 2009.
[27]J. M. Mendel, R. I. John, and F. L. Liu, “Interval type-2 fuzzy logical systems made simple,” IEEE Transactions on Fuzzy Systems, vol. 14, no. 6, pp. 808-821, 2006.
[28]S. Murakami, S. Maeda, and S. Imamura, “Fuzzy decision analysis on thee development of centralized regional energy control system,” Proceedings of the IFAC Symposium on Fuzzy Information, Knowledge Representation and Decision Analysis, pp. 363-368, 1983.
[29] V. L. G. Nayagam, S. Muralikrishnan, and G. Sivaraman, “Multi-criteria decision making method based on interval-valued intuitionistic fuzzy sets,” Expert Systems with Applications, vol. 38, no. 3, pp. 1464-1467, 2011.
[30]J. H. Park, H. J. Cho, J. S. Hwang, and Y. C. Kwun, “Extension of the VIKOR method to dynamic intuitionistic fuzzy multiple attribute decision making,” Proceedings of the 3th IEEE International Workshop on Advanced Computational Intelligence, pp. 189-195, 2010.
[31]J. H. Park, I. Y. Park, Y. C. Kwun, and J. S. Park, “Multi-person multi-attribute decision making problems based on interval-valued intuitionistic fuzzy information,” Proceedings of the 5th IEEE International Conference on Fuzzy Systems and Knowledge Discovery, vol. 1, pp. 340-345, 2008.
[32]C. Tan and X. Chen, “Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making,” Expert Systems with Applications, vol. 37, no. 1, pp. 149-157, 2010.
[33]C. Tan and Q. Zhang, “Fuzzy multiple attribute decision making based on interval valued intuitionistic fuzzy sets,” Proceedings of 2006 the IEEE International Conference on System, Man, and Cybernetics, vol. 2, pp. 1404-1407, 2006.
[34]M. J. Tsai and C. S. Wang, “A computing coordination based fuzzy group decision making (CC-FGDM) for web service oriented architecture,” Expert Systems with Applications, vol. 34, no. 4, pp. 2921-2936, 2008.
[35]J. Wang and Y. I. Lin, “A fuzzy multicriteria group decision making approach to select configuration items for software development,” Fuzzy Sets and Systems, vol. 134, no. 3, pp. 343-363, 2003.
[36]W. Wang and Z. Wang, “An approach to multi-attribute interval-valued intuitionistic fuzzy decision making with incomplete weight information,” Proceedings of the 15th IEEE International Conference on Fuzzy Systems and Knowledge Discovery, vol. 3, pp. 346-350, 2008.
[37]Z. Wang and J. Xu, “A fractional programming method for interval-valued intuitionistic fuzzy multi-attribute decision making,” Proceedings of the 49th IEEE International Conference on Decision and Control, pp. 636-641, 2010.
[38]Z. Wang, W. Wang, and K. W. Li, “Multi-attribute decision making models and methods under interval-valued intuitionistic fuzzy environment,” Proceedings of the IEEE International Conference on Control and Decision, pp. 2420-2425, 2008.
[39]G. Wei and W. Yi, “Induced interval-valued intuitionistic fuzzy OWG operator,” Proceedings of the 15th IEEE International Conference on Fuzzy Systems and Knowledge Discovery, vol. 1, pp. 605-609, 2008.
[40]G. Wei and X. Wang, “Some geometric aggregation operators based on interval-valued intuitionistic fuzzy sets and their application to group decision making,” Proceedings of the IEEE International Conference on Computational Intelligence and Security, pp. 495-499, 2007.
[41]Z. Wu and Y. Chen, “The maximizing deviation method for group multiple attribute decision making under linguistic environment,” Fuzzy Sets and Systems, vol. 158, no. 14, pp. 1608-1617, 2007.
[42]Z. Xiao and G. Wei, “Application interval-valued intuitionistic fuzzy set to select supplier,” Proceedings of the 15th IEEE International Conference on Fuzzy Systems and Knowledge Discovery, vol. 3, pp. 351-355, 2008.
[43]Z. S. Xu, “Intuitionistic fuzzy aggregation operators,” IEEE Transactions on Fuzzy Systems, vol. 15, no. 6, pp. 1179-1187, 2007.
[44]Z. S. Xu and J. Chen, “Approach to group decision making based on interval-valued intuitionistic fuzzy judgment matrices,” Systems Engineering - Theory and Practice, vol. 27, no. 4, pp. 126-133, 2007.
[45]R. R. Yager, “Ranking fuzzy subsets over the unit interval,” Proceedings of the 17th IEEE International Conference on Decision and Control, pp. 1435-1437, 1978.
[46]W. Yang and Y. Pang, “A new MCDM method based on GRA in interval-valued intuitionistic fuzzy setting,” Proceedings of the 3rd IEEE International Conference on Computer Science and Informational, vol. 4, pp. 299-302, 2010.
[47]J. Ye, “Multicriteria fuzzy decision making method based on a novel accuracy function under interval-valued intuitionistic fuzzy environment,” Expert Systems with Applications, vol. 36, no. 3, pp. 6899-6902, 2009.
[48]L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, pp. 338-353, 1965.