全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

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

DOI: 10.3724/SP.J.1004.2011.00993, PP. 993-998

Keywords: 区间直觉模糊数,D-S证据理论,数据融合,决策,灰色关联分析

Full-Text   Cite this paper   Add to My Lib

Abstract:

?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.

References

[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]  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)
[3]  Atanassov K T. Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 1986, 20(1): 87-96
[4]  Atanassov K T. Operators over interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 1994, 64(2): 159-174
[5]  Hung W L, Wu J W. Correlation of intuitionistic fuzzy sets by centroid method. Information Sciences, 2002, 144(1-4): 219-225
[6]  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)
[7]  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
[8]  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)
[9]  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)
[10]  Zadeh L A. Fuzzy sets. Information and Control, 1965, 8: 338-353
[11]  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)
[12]  Atanassov K T, Gargov G. Interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 1989, 31(3): 343-349
[13]  Bustince H, Burillo P. Correlation of interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 1995, 74(2): 237-244
[14]  Xu Z S. On correlation measures of intuitionistic fuzzy sets. Lecture Notes in Computer Science. Berlin: Springer-Verlag, 2006. 16-24
[15]  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
[16]  Shafer G. A Mathematical Theory of Evidence. Princeton: Princeton University Press, 1976
[17]  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
[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)

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133