Zadeh L A.The concept of a linguistic variable and its application to approximate reasoning[J].Information Sciences,1975,8:199ˉ249.[2] Zadeh L A.Outline of a new approach to the analysis of complex systems and decision processes[J].IEEE Trans System Man&Cybemetics,1973,1:28ˉ44. [3]Xu Yang,Lin Jun,Sun Zhenˉming,et al.On semantics ofLˉvalued firstˉorder logic L vfl [J].Internate JGeneral Systems,2000,29(1):53ˉ79. [4]W ang Guoˉjun.On the logic foundation of fuzzy reasoning[J].Information Sciences,1999,117:47ˉ88. [5]Xu Yang,Qin Keˉyun,Lin Jun,et al.Lˉvalued proposition logic L vpl [J].Information Sciences,1999,114:205ˉ235.[6] Zhou Ping,Wu Xueˉfang,Qin Keˉyun,et al.Fuzzy reasoning based on the L vpl [J].JMathematics,2004,4(12):775ˉ781.[7]徐扬.格蕴涵代数[J].西南交通大学学报:自然科学版,1993,89(1):20ˉ27. [8]Qin Keˉyun.Fuzzy proposition logic system FP(X)(I)[J].J FuzzyMath,1994,2(2):351ˉ357.[9]徐扬,秦克云,宋振民.一阶格值逻辑系统FM中的语法[J].科学通报,1997,10(42):1052ˉ1055.[10]徐扬,秦克云,宋振明.格值一阶逻辑系统FM的语法[J].中国科学,1997,42(10):1052ˉ1055.[11]秦克云,徐扬.格值命题逻辑系统L(X)(I)[J].模糊系统与数学,1997,11(4):5ˉ11. [12]秦克云,徐扬,宋振明.格值命题逻辑系统L(X)(II)[J].模糊系统与数学,1998,12(1):10ˉ19. [13]Xu Yang,QinKeˉyun,Roh E H.A firstorder lattice valued logic system I:semantics[J].JFuzzyMath,2001,9(4):969ˉ976.[14]Qin Keˉyun,Xu Yang,Roh E H.A first order lattice valued logic system II:syntax[J].J FuzzyMath,2001,9(4):977ˉ983.[15]Xu Yang,Ruan Da,Qin Keˉyun,et al.Latticeˉvalued Logic[M].New York:SpringerˉVerlag,2003. [16]周平,姜明,徐杨.基于格值命题逻辑系统LP(X)的不确定性推理[J].四川师范大学学报:自然科学版,2006,29(5):509ˉ511. [17]周平,姜明,徐扬.格值一阶逻辑系统LF(X)中的广义量词[J].模糊系统与数学,2006,20(5):96ˉ100. [18]周平,姜明,徐扬.格值一阶逻辑系统LF(X)中带广义量词的不确定性推理[J].模糊系统与数学,2007,21(2):40ˉ45.