语言真值直觉模糊逻辑的知识推理
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摘要
针对格蕴涵代数、直觉模糊集及知识表示、基于语言真值直觉模糊代数的相关性质及运算方法,提出了六元语言真值直觉模糊代数的相关逻辑性质,并在六元语言真值直觉模糊知识表示的基础上,将模糊推理的CRI方法进行扩展,研究得出了六元语言真值直觉模糊推理的方法即6LTV-CRI算法。而后将直觉模糊推理与六元语言真值直觉模糊推理方法进行对比分析,验证了6LTV-CRI推理算法的合理性,并分析了其优缺点。
In view of the lattice implication algebra,intuitionistic fuzzy sets and knowledge representation,based on the related properties and operations of linguistic truth-valued intuitionistic fuzzy algebra,we proposed six-element linguistic truth-valued intuitionistic fuzzy algebra related logical properties.And on the basis of six-element linguistic truth-valued intuitionistic fuzzy knowledge representation,we extended CRI method of fuzzy reasoning,discussed the six-element linguistic truth-valued intuitionistic fuzzy reasoning method,i.e.,6LTV-CRI algorithm.Then comparing with the intuitionistic fuzzy reasoning,six-element linguistic truth-valued intuitionistic fuzzy reasoning method was validated.We obtained the rationality of the 6LTV-CRI algorithm and analysed its advantages and disadvantages.
In view of the lattice implication algebra,intuitionistic fuzzy sets and knowledge representation,based on the related properties and operations of linguistic truth-valued intuitionistic fuzzy algebra,we proposed six-element linguistic truth-valued intuitionistic fuzzy algebra related logical properties.And on the basis of six-element linguistic truth-valued intuitionistic fuzzy knowledge representation,we extended CRI method of fuzzy reasoning,discussed the six-element linguistic truth-valued intuitionistic fuzzy reasoning method,i.e.,6LTV-CRI algorithm.Then comparing with the intuitionistic fuzzy reasoning,six-element linguistic truth-valued intuitionistic fuzzy reasoning method was validated.We obtained the rationality of the 6LTV-CRI algorithm and analysed its advantages and disadvantages.
引文
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[13]孙芳,张凤梅,邹丽,等.基于六元格值命题逻辑的语言真值归结方法[J].广西师范大学学报,2010,28(3)
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[15]方晓,马健,谭成兵,等.一种新的知识表示和知识推理研究[J].河北北方学院学报,2011,27(5)
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[18]Xu Y,Chen S,Ma J.Linguistic truth-valued lattice implication algebra and its properties[C]∥Proc.CESA’06.2006:1123-1129
[19]Xu Y,Ruan D,Qin K Y,et al.Lattice-valued Logic[M].Springer,2003
[2]廉师友.人工智能技术导论(第2版)[M].西安:西安电子科技大学出版社,2002
[3]年志刚,梁式,麻芳兰,等.知识表示方法研究与应用[J].计算机应用研究所,2007,24(5)
[4]邹丽.基于语言真值格蕴涵代数的格值命题逻辑及其归结自动推理研究[D].成都:西南交通大学,2010
[5]梁柱,曾绍玮.知识表示技术研究[J].科学咨询(决策管理),2010(1)
[6]夏佩伦.不确定性推理方法研究[J].火力与指挥控制,2010,35(11)
[7]雷英杰,王宝树,路艳丽.基于直觉模糊逻辑的近似推理方法[J].控制与决策,2006,21(3)
[8]裴峥.格蕴涵代数中的直觉模糊滤子[J].西华大学学报,2007,26(2)
[9]郑宏亮,徐本强,邹丽.一种基于十元格蕴涵代数的知识表示方法[J].计算机应用与软件,2013,30(1)
[10]张洪美,徐泽水,陈琦.直觉模糊集的聚类方法研究[J].控制与决策,2007,22(8)
[11]刘锋,袁学海.模糊数直觉模糊集[J].模糊系统与数学,2007,21(1)
[12]杨洋,郭嗣琮,胡金辉.模糊数直觉模糊集运算的模糊结构元表示[J].模糊系统与数学,2009,23(6)
[13]孙芳,张凤梅,邹丽,等.基于六元格值命题逻辑的语言真值归结方法[J].广西师范大学学报,2010,28(3)
[14]张云霞,崔晓松,邹丽.一种基于十八元语言值模糊相似矩阵的聚类方法[J].山东大学学报:工学版,2013,43(1)
[15]方晓,马健,谭成兵,等.一种新的知识表示和知识推理研究[J].河北北方学院学报,2011,27(5)
[16]Zadeh L A.Fuzzy sets[J].Information and Control,1965,8(3):338-356
[17]Atanassov K.lntuionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,20(1):87-96
[18]Xu Y,Chen S,Ma J.Linguistic truth-valued lattice implication algebra and its properties[C]∥Proc.CESA’06.2006:1123-1129
[19]Xu Y,Ruan D,Qin K Y,et al.Lattice-valued Logic[M].Springer,2003