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- 2017
考虑专家风险偏好的区间直觉模糊多属性决策方法
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Abstract:
针对决策信息为区间直觉模糊数且属性权重未知的多属性决策问题，提出了考虑专家风险偏好的决策方法。该方法基于专家对风险的偏好程度，构建了一种新的得分函数（P-λ记分函数），据此提出一种区间直觉模糊属性熵权法。同时，定义了考虑专家风险偏好的区间直觉模糊数相关系数，并构造备选方案与理想方案和临界方案属性值相关系数矩阵。然后，集结属性权重和矩阵信息，计算出各种风险偏好情形下的相对贴近度值并得到方案集的综合排序结果。最后，通过算例分析来阐明该方法的有效性。
| [1] | YE J. Using An Improved Measure Function of Vague Sets for Multicriteria Fuzzy Decision-making[J]. Expert Systems with Applications,2010, 37(6):4706-4709. |
| [2] | CHEN S M, TAN J M. Handling Multi-criteria Fuzzy Decision-making Problems Based on Vague Set Theory[J]. Fuzzy Sets and Systems, 1994,67(2):163-172. |
| [3] | WEI G W. Gray Relational Analysis Method for Intuitionistic Fuzzy Multiple Attribute Decision Making[J]. Expert Systems with Applications, 2011, 38(9):11671-11677. |
| [4] | 刘华文. 多目标模糊决策的Vague集方法[J]. 系统工程理论与实践, 2004, 24(5):103-109. |
| [5] | YE J. Using An Improved Measure Function of Vague Sets for Multicriteria Fuzzy Decision-making[J]. Expert Systems with Applications,2010, 37(6):4706-4709. |
| [6] | 高建伟, 刘慧晖, 谷云东. 基于前景理论的区间直觉模糊多准则决策方法[J]. 系统工程理论与实践, 2014, 34(12):3175-3181. |
| [7] | GRZEGORZEWSKI P. Distances Between Intuitionistic Fuzzy Sets And/or Interval-valued Fuzzy Sets Based on the Hausdorff metric[J]. Fuzzy Sets and Systems, 2004, 148(2):319-328. |
| [8] | XU Z S. On Correlation Measures of Intuitionistic Fuzzy Sets[J]. Lecture Notes in Computer Science, 2006(4224):16-24. |
| [9] | ATANASSOV K. Intuitionistic Fuzzy sets[J]. Fuzzy Sets and Systems, 1986, 20(1):87-96. |
| [10] | XU Z S. Some Similarity Measures of Intuitionistic Fuzzy Sets and Their Applications to Multiple Attribute Decision Making[J]. Fuzzy Optimization and Decision Making, 2007, 6(2):109-121. |
| [11] | ATANASSOV K, GARGOV G. Interval-valued Intuitionistic Fuzzy sets[J]. Fuzzy Sets and Systems, 1989, 31(3):343-349. |
| [12] | LIAO H C, XU Z S, ZENG X J. Novel Correlation Coefficients Between Hesitant Fuzzy Sets and Their Application in Decision Making[J]. Knowledge-Based Systems, 2015, 82(C):115-127 |
| [13] | CHEN Z P, YANG W. An MAGDM Based on Constrained FAHP and FTOPSIS and Its Application to Supplier Selection[J]. Mathematical and Computer Modelling, 2011, 54(11):2802-2815. |
| [14] | 李艳玲, 殷新丽, 杨剑. 区间直觉模糊决策中专家与属性权重确定方法[J]. 计算机工程与应用, 2016, 52(18):158-161. |
| [15] | 刘华文. 多目标模糊决策的Vague集方法[J]. 系统工程理论与实践, 2004, 24(5):103-109. |
| [16] | LIN L, YUAN X H, XIA Z Q. Multicriteria Fuzzy Decision-making Methods Based on Intuitionistic Fuzzy Sets[J]. Journal of Computer and System Sciences, 2007, 73(1):84-88. |
| [17] | PARK D G, KWUN Y C, PARK J H, et al. Correlation Coefficient of Interval-valued Intuitionistic Fuzzy Sets and Its Application to Multiple Attribute Rroup Decision Making Problems[J]. Mathematical and Computer Modelling, 2009, 50(10):1279-1293. |
| [18] | GRZEGORZEWSKI P. Distances Between Intuitionistic Fuzzy Sets And/or Interval-valued Fuzzy Sets Based on the Hausdorff metric[J]. Fuzzy Sets and Systems, 2004, 148(2):319-328. |
| [19] | 吴冲,万翔宇. 基于改进熵权法的区间直觉模糊TOPSIS方法[J]. 运筹与管理, 2014, 23(5):42-47. |
| [20] | 高明美,孙涛,朱建军. 基于改进熵和新得分函数的区间直觉模糊多属性决策[J]. 控制与决策, 2016, 31(10):1757-1764. |
| [21] | 梁昌勇,戚筱雯,张俊岭,等. 基于诱导型区间直觉模糊混合算子的群决策方法[J]. 系统工程学报, 2012, 27(6):759-771. |
| [22] | XU Z S. A Method Based on Distance Measure for Interval-valued Intuitionistic Fuzzy Group Decision Making[J]. Information Sciences, 2010, 180(1):181-190. |
| [23] | LUO Y J, WEI G W. Multiple Attribute Decision Making with Intuitionistic Fuzzy Information and Uncertain Attribute Weights Using Minimization of Regret[C]. Xi'an:20094th IEEE Conference on Industrial Electronics and Applications,2009:3720-3723. |
| [24] | KHALID A, ABBAS M. Distance Measures and Operations in Intuitionistic and Interval Valued Intuitionistic Fuzzy Soft Set Theory[J]. International Journal of Fuzzy Systems,2015,17(3):490-497. |
| [25] | QIAN G, XU Z S. Three Optimization Models Based on Ideal Points for Uncertain Multi-attribute Decision Making[J]. Systems Engineering and Electronics, 2003, 25(5):517-519. |
| [26] | 杨威, 庞永锋, 史加荣. 不完全权重信息的区间直觉模糊不确定语言TOPSIS方法[J]. 模糊系统与数学, 2015(2):125-131. |
| [27] | CHEN S M, TAN J M. Handling Multi-criteria Fuzzy Decision-making Problems Based on Vague Set Theory[J]. Fuzzy Sets and Systems, 1994,67(2):163-172. |
| [28] | GERSTENKORN T, MANKO J. Correlation of Intuitionistic Fuzzy Sets[J]. Fuzzy Sets and Systems, 2007,17(4):39-43. |
| [29] | 徐泽水.区间直觉模糊信息的集成方法及其在决策中的应用[J]. 控制与决策, 2007, 22(2):215-219. |
| [30] | LIAO H C, XU Z S, ZENG X J. Novel Correlation Coefficients Between Hesitant Fuzzy Sets and Their Application in Decision Making[J]. Knowledge-Based Systems, 2015, 82(C):115-127 |
| [31] | 徐泽水.区间直觉模糊信息的集成方法及其在决策中的应用[J]. 控制与决策, 2007, 22(2):215-219. |
| [32] | PARK D G, KWUN Y C, PARK J H, et al. Correlation Coefficient of Interval-valued Intuitionistic Fuzzy Sets and Its Application to Multiple Attribute Rroup Decision Making Problems[J]. Mathematical and Computer Modelling, 2009, 50(10):1279-1293. |
| [33] | 袁宇, 关涛, 闫相斌, 等. 基于区间直觉模糊数相关系数的多准则决策模型[J]. 管理科学学报,2014,17(4):11-18. |
| [34] | XU Z S, ZHANG X L. Hesitant Fuzzy Multi-attribute Decision Making Based on TOPSIS with Incomplete Weight Information[J]. Knowledge-Based Systems, 2013, 52(6):53-64. |
| [35] | XU Z S, ZHANG X L. Hesitant Fuzzy Multi-attribute Decision-making Based on TOPSIS Within Complete Weight Information[J]. Knowledge-Based Systems, 2013, 52(6):53-64. |
| [36] | 袁宇, 关涛, 闫相斌, 等. 基于区间直觉模糊数相关系数的多准则决策模型[J]. 管理科学学报,2014,17(4):11-18. |
| [37] | XU Z S. A Method Based on Distance Measure for Interval-valued Intuitionistic Fuzzy Group Decision Making[J]. Information Sciences, 2010, 180(1):181-190. |
| [38] | XU Z S, ZHANG X L. Hesitant Fuzzy Multi-attribute Decision Making Based on TOPSIS with Incomplete Weight Information[J]. Knowledge-Based Systems, 2013, 52(6):53-64. |
| [39] | 林志贵,徐立中,王建颖. 基于Vague集的多目标模糊决策方法[J]. 计算机工程, 2005, 31(5):11-13. |
| [40] | WANG J, ZHANG J, LIU S Y. A New Score Function for Fuzzy MCDM Based on Vague Set Theory[J]. International Journal of Computational Cognition, 2006, 4(1):44-48. |
| [41] | BUSTINCE H, BURILLO P. Correlation of Interval-valued Intuitionistic Fuzzy Sets[J]. Fuzzy Sets and Systems, 1995, 74(2):237-244. |
| [42] | XU Z S. On Correlation Measures of Intuitionistic Fuzzy Sets[J]. Lecture Notes in Computer Science, 2006(4224):16-24. |
| [43] | 王中兴,罗雪鹏. 基于决策者风险偏好的直觉模糊数排序方法[J]. 模糊系统与数学, 2014, 28(6):129-136. |
| [44] | SHANNON C E. A Mathematical Theory of Communication[J]. Bell Sys Tech, 1948, 27(3):379-423. |
| [45] | WEI G W. Gray Relational Analysis Method for Intuitionistic Fuzzy Multiple Attribute Decision Making[J]. Expert Systems with Applications, 2011, 38(9):11671-11677. |
| [46] | 林志贵,徐立中,王建颖. 基于Vague集的多目标模糊决策方法[J]. 计算机工程, 2005, 31(5):11-13. |
| [47] | 王中兴,罗雪鹏. 基于决策者风险偏好的直觉模糊数排序方法[J]. 模糊系统与数学, 2014, 28(6):129-136. |
| [48] | 高建伟, 刘慧晖, 谷云东. 基于前景理论的区间直觉模糊多准则决策方法[J]. 系统工程理论与实践, 2014, 34(12):3175-3181. |
| [49] | XU Z S. Some Similarity Measures of Intuitionistic Fuzzy Sets and Their Applications to Multiple Attribute Decision Making[J]. Fuzzy Optimization and Decision Making, 2007, 6(2):109-121. |
| [50] | 吴冲,万翔宇. 基于改进熵权法的区间直觉模糊TOPSIS方法[J]. 运筹与管理, 2014, 23(5):42-47. |
| [51] | KHALID A, ABBAS M. Distance Measures and Operations in Intuitionistic and Interval Valued Intuitionistic Fuzzy Soft Set Theory[J]. International Journal of Fuzzy Systems,2015,17(3):490-497. |
| [52] | SHANNON C E. A Mathematical Theory of Communication[J]. Bell Sys Tech, 1948, 27(3):379-423. |
| [53] | WANG J, ZHANG J, LIU S Y. A New Score Function for Fuzzy MCDM Based on Vague Set Theory[J]. International Journal of Computational Cognition, 2006, 4(1):44-48. |
| [54] | LIN L, YUAN X H, XIA Z Q. Multicriteria Fuzzy Decision-making Methods Based on Intuitionistic Fuzzy Sets[J]. Journal of Computer and System Sciences, 2007, 73(1):84-88. |
