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## 留言板

 引用本文: 李鹏, 刘思峰. 基于灰色关联分析和D-S证据理论的区间直觉模糊决策方法. 自动化学报, 2011, 37(8): 993-998.
LI Peng, LIU Si-Feng. Interval-valued Intuitionistic Fuzzy Numbers Decision-making Method Based onGrey Incidence Analysis and D-S Theory of Evidence. ACTA AUTOMATICA SINICA, 2011, 37(8): 993-998. doi: 10.3724/SP.J.1004.2011.00993
 Citation: LI Peng, LIU Si-Feng. Interval-valued Intuitionistic Fuzzy Numbers Decision-making Method Based onGrey Incidence Analysis and D-S Theory of Evidence. ACTA AUTOMATICA SINICA, 2011, 37(8): 993-998.

## Interval-valued Intuitionistic Fuzzy Numbers Decision-making Method Based onGrey Incidence Analysis and D-S Theory of Evidence

• 摘要: 针对方案的指标值为区间直觉模糊数的决策问题,提出了一种基于灰色关联分析和D-S证据理论的决策方法. 定义了区间记分函数和区间数点算子, 并通过其将区间直觉模糊数转化为记分函数;利用记分函数以及灰色关联方法确定各指标的不确信度, 进而构建出不同指标下各方案的Mass函数, 通过D-S合成法则进行信息融合,确定最优方案.最后,通过算例表明, 本文提出的方法可得到满意结果并显著降低决策的不确定性.
•  [1] Wang Hong-Wei, Qi Chao, Wei Yong-Chang, Li Bin, Zhu Song. Review on data-based decision making methodologies. Acta Automatica Sinica, 2009, 35(6): 820-833(王红卫, 祁超, 魏永长, 李彬, 朱松. 基于数据的决策方法综述. 自动化学报, 2009, 35(6): 820-833)[2] Zadeh L A. Fuzzy sets. Information and Control, 1965, 8: 338-353[3] Liu Kai-Di, Pang Yan-Jun, Li Wen-Guo. Membership transforming algorithm in multi-index decision and its application. Acta Automatica Sinica, 2009, 35(3): 315-319(刘开第, 庞彦军, 栗文国. 多指标决策中隶属度转换算法及其应用. 自动化学报, 2009, 35(3): 315-319)[4] Wang Yong-Fu, Wang Dian-Hui, Chai Tian-You. Extraction of fuzzy rules with completeness and robustness. Acta Automatica Sinica, 2010, 36(9): 1337-1342(王永富, 王殿辉, 柴天佑. 一个具有完备性和鲁棒性的模糊规则提取算法. 自动化学报, 2010, 36(9): 1337-1342)[5] Atanassov K T. Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 1986, 20(1): 87-96[6] Atanassov K T, Gargov G. Interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 1989, 31(3): 343-349[7] Atanassov K T. Operators over interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 1994, 64(2): 159-174[8] Bustince H, Burillo P. Correlation of interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 1995, 74(2): 237-244[9] Hung W L, Wu J W. Correlation of intuitionistic fuzzy sets by centroid method. Information Sciences, 2002, 144(1-4): 219-225[10] Xu Z S. On correlation measures of intuitionistic fuzzy sets. Lecture Notes in Computer Science. Berlin: Springer-Verlag, 2006. 16-24[11] Xu Ze-Shui. Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making. Control and Decision, 2007, 22(2): 215-219(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. 控制与决策, 2007, 22(2): 215-219)[12] Wang Z J, Li K W, Wang W Z. An approach to multiattribute decision making with interval-valued intuitionistic fuzzy assessments and incomplete weights. Information Sciences, 2009, 179(17): 3026-3040[13] Ye J. Fuzzy cross entropy of interval-valued intuitionistic fuzzy sets and its optimal decision-making method based on the weights of alternatives. Expert Systems with Applications, 2011, 38(5): 6179-6183[14] Shafer G. A Mathematical Theory of Evidence. Princeton: Princeton University Press, 1976[15] Liu Fu-Xian, Xing Qing-Hua. New decision making method based on D-S fusion evidence. Systems Engineering —— Theory and Practice, 2009, 29(7): 125-131(刘付显，邢清华. 基于D-S融合证据的决策新方法. 系统工程理论与实践, 2009, 29(7): 125-131)[16] Chen S M, Tan J M. Handling multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets and Systems, 1994, 67(2): 163-172[17] Liu Si-Feng, Dang Yao-Guo, Fang Zhi-Geng. Grey Systems Theory and Its Applications (Third Edition). Beijing: Science Press, 2004(刘思峰, 党耀国, 方志耕. 灰色系统理论及其应用(第三版). 北京: 科学出版社, 2004)[18] Zhang Qi-Shan. Difference Information Theory in Grey Hazy Set. Beijing: Petroleum Industry Press, 2002(张岐山. 灰朦胧集的差异信息理论. 北京: 石油工业出版社, 2002)
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##### 出版历程
• 收稿日期:  2010-10-25
• 修回日期:  2011-02-18
• 刊出日期:  2011-08-20

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