计算机科学 ›› 2019, Vol. 46 ›› Issue (1): 131-137.doi: 10.11896/j.issn.1002-137X.2019.01.020
郑宏亮, 侯雪辉, 宋笑迎, 庞阔, 邹丽
ZHENG Hong-liang, HOU Xue-hui, SONG Xiao-ying, PANG Kuo, ZOU Li
摘要: 针对不确定性推理中的可信度估值不精确的问题,将犹豫模糊集引入可信度不确定性推理中。提出犹豫模糊可信度的定义,并基于可信度的知识表示给出犹豫模糊可信度的知识表示方式。为解决专家在推理过程中出现的信息缺失问题,提出求解平均值的信息补全方法。构建犹豫模糊可信度的单条规则和多条规则并行关系的运算法则,并给出基于犹豫模糊可信度的知识表示与推理的具体步骤。最后,运用实例验证了所提算法的可行性及有效性。
中图分类号:
[1]谢季坚,刘承平.模糊数学方法及其应用(第4版)[M].武汉:华中科技大学出版社,2013.<br /> [2]刘星成,汤庸.专家系统原理与编程[M].北京:机械工业出版社,2000.<br /> [3]SHORTILIFFE E H.Computer-based medical consultation: MYCIN[M].New York:American Elsevier Publishing,1976.<br /> [4]HAO Q,LU T.Context modeling and reasoning based on certainty factor[C]//Proceedings of 2009 Second Asia-Pacific Conference on Computational Intelligence and Industrial Applications.Wuhan,China:IEEE,2009:38-41.<br /> [5]WU M K.The truth-value estimation in fuzzy reasoning[J].Chinese Journal of Computers,1993,16(2):158-161.(in Chinese)<br /> 吴茂康.关于Fuzzy推理式的可信度估计[J].计算机学报,1993,16(2):158-161.<br /> [6]CHEN Y X,YIN Y.Two kinds of reasoning with credibility[J].Fuzzy Systems and Mathematics,2005,19(3):6-13.(in Chinese)<br /> 陈仪香,尹艳.两种含可信度的推理[J].模糊系统与数学,2005,19(3):6-13.<br /> [7]XIONG C Q,OUYANG Y,MEI Q.Argumentation Model Based on Certainty-Factor and Algorithms of Argument Evaluation[J].Journal of Software,2014,25(6):1225-1238.(in Chinese)<br /> 熊才权,欧阳勇,梅清.基于可信度的辩论模型及争议评价算法[J].软件学报,2014,25(6):1225-1238.<br /> [8]ZOU L,ZHANG Y X,LIU X.Linguistic-Valued approximate reasoning with lattice ordered linguistic-valued credibility[J].International Journal of Computational Intelligence Systems,2015,8(1):53-61.<br /> [9]ZADEH L A.The concept of a linguistic variable and its applications to approximate reasoning-Part I[J].Information Science,1975,8(3):199-249.<br /> FAN J P,XUE K,WU M Q.Cross evaluation method based on intuitionistic fuzzy entropy.Computer Science,2018,45(2):280-286.(in Chinese)<br /> 范建平,薛坤,吴美琴.基于直觉模糊熵的交叉评价方法.计算机科学,2018,45(2):280-286.<br /> [11]YAGER R R,ABBASOV A M.Pythagorean membership grades in multicriteria decision making.IEEE Transaction on Fuzzy Systems,2014,22(4):958-965.<br /> [12]TORRA V,NARUKAWA Y.On hesitant fuzzy sets and decision[C]//IEEE International Conference on Fuzzy Systems.IEEE,2009:1378-1382.<br /> [13]TORRA V.Hesitant fuzzy sets[J].International Journal of Intelligent Systems,2010,25(6):529-539.<br /> [14]ZHANG Z.Deriving the priority weights from incomplete hesitant fuzzy preference relations based on multiplicative consistency[J].Applied Soft Computing,2016,46:37-59.<br /> [15]PUSHPINDER S.Distance and similarity measures for multiple-attribute decision making with dual hesitant fuzzy sets [J].Computational & Applied Mathematics,2015,36(1):1-6.<br /> [16]RODR′IGUEZ R M,MART′INEZ L,HERRERA F.Hesitant Fuzzy Linguistic Term Sets for Decision Making[J].IEEE Transactions on Fuzzy Systems,2012,20(1):109-119.<br /> [17]GUO S,JIN F F,CHEN H Y.Hesitant fuzzy Einstein geometric aggregation operators and their application[J].Computer Engineering and Applications,2015,51(17):53-58.(in Chinese)<br /> 郭甦,金飞飞,陈华友.犹豫模糊Einstein几何算子及应用[J].计算机工程与应用,2015,51(17):53-58.<br /> [18]LIU W F,HE X.Pythagorean Hesitant Fuzzy Set[J].Fuzzy Systems and Mathematics,2016,30(4):107-115.(in Chinese)<br /> 刘卫锋,何霞.毕达哥拉斯犹豫模糊集[J].模糊系统与数学,2016,30(4):107-115.<br /> [19]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.<br /> [20]LIAO H C,XU Z S,ZENG X J.Distance and similarity measures for hesitant fuzzy linguistic term sets and their application in multi-criteria decision making[J].Information Sciences,2014,271(3):125-142.<br /> [21]BIAN S H.Research and application of uncertainty reasoning in expert system[D].Anhui:Anhui University,2010.(in Chinese)<br /> 卞世晖.专家系统中不确定性推理的研究与应用[D].安徽:安徽大学,2010.<br /> [22]XIA M M,XU Z S,CHEN N.Some hesitant fuzzy aggregation operators with their application in group decision making [J].Group Decis Negot,2013,234(10):259-279.<br /> [23]TORRA V.Hesitant fuzzy sets[J].International Journal of Intelligent Systems,2010,25(6):529-539. |
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