The existing decision-theoretic rough sets model could not describe the decision which contained fuzzy information delicately. For the above shortage, a decision-theoretic rough sets model based on an intuitionistic fuzzy similarity relation was proposed and the corresponding attribute reduction algorithm and decision rule extraction method were given. Then, a determination method for threshold based on multiple cost was proposed from the point of view of minimum opportunity loss decision rule. Finally, an example of air-attack weapon recognition was given to illuminate the specific application process. The result shows that the method has good recognition ability for the decision making with fuzzy information.
CHEN Yujin
,
LI Xuwu
. Intuitionistic Fuzzy Decision-theoretic Rough Sets and Its Application in Targets Recognition[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2017
, 37(6)
: 121
-126
.
DOI: 10.15892/j.cnki.djzdxb.2017.06.028
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[1] YAO Y Y,WONG S K M,LINGRAS P. A decision-theoretic rough set model[C]//Association for Computing Machinery. Proceedings of the 5th International Symposium on Methodologies for Intelligent Systems.[S.l.:s.n.], 1990:17-25.
[2] PAWLAK Z. Rough sets[J].International Journal of Computer and Information Sciences, 1982, 11(5): 341-356.
[3] 于洪, 王国胤, 姚一豫. 决策粗糙集理论研究现状与展望[J].计算机学报, 2015, 38(8): 1628-1639.
[4] 刘盾, 李天瑞, 梁德翠. 模糊数决策粗糙集[J].计算机科学, 2012, 39(12): 25-29.
[5] 刘盾, 李天瑞, 李华雄. 区间决策粗糙集[J].计算机科学, 2012, 39(7): 178-181.
[6] LIANG Decui, LIU Dun, PEDRYCZ W, et al. Triangular fuzzy decision-theoretic rough sets[J].International Journal of Approximate Reasoning, 2013, 54(8): 1087-1106.
[7] 薛占熬, 朱泰隆, 薛天宇, 等. 基于直觉模糊集的三支决策模型[J].计算机科学, 2016, 43(6): 283-288.
[8] 郭智莲, 杨海龙, 王钰. 双论域上的直觉模糊概率粗糙集模型及其应用[J].系统工程理论与实践, 2014, 34(7): 1828-1834.
[9] 韩晓明, 赵杰. 决策理论与实用决策技术[M].西安: 西北工业大学出版社, 2002: 45-57.
[10] BURILLO P,BUSTINCE H,MOHEDANO V. Some definitions of intuitionistic fuzzy number: first properties[C]//Bulgarian Enthusiasts. Proceedings of the 1st Workshop on Fuzzy Based Expert Systems.Sofia:[s.n.],1994:53-55.
[11] XU Z S, YAGER R R. Some geometric aggregation operators based on intuitionistic fuzzy sets[J].International Journal of General Systems, 2006, 35(4): 417-433.
[12] 郭嗣琮, 吕金辉. 直觉模糊数的研究[J].模糊系统与数学, 2013, 27(5): 11-20.
[13] DOU Huili, YANG Xibei, SONG Xiaoning, et al. Decision-theoretic rough set: A multicost strategy[J].Knowledge-Based Systems, 2016, 91: 71-83.
[14] 张明. 粗糙集理论中的知识获取与约简方法的研究[D].南京: 南京理工大学, 2012.
[15] 雷英杰, 赵杰, 贺正洪, 等. 直觉模糊集理论及应用[M].北京: 科学出版社, 2014: 356-359.