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模糊逻辑系统UL^*不具有标准完备性

Standard Completeness is Incorrect in Fuzzy Logic UL^*
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摘要 证明了由Cignoli等人提出的模糊逻辑系统L∏G的特征,公理(L∏G)是张小红提出的UL*系统的重言式,但不是UL*系统的定理,这一结果表明UL*系统不具备标准完备性。 This paper proof that the characteristic axiom (L ∏G)in fuzzy logic L∏G is tautology with respect to the real unit interval[0,1]in fuzzy logic system UL^* ,which is presented by Zhang xiao - hong,but the axiom is not theorem of UL^*. Th;.s result show that standard completeness is incorrect in fuzzy logic UL^*.
出处 《江西科学》 2007年第5期532-534,共3页 Jiangxi Science
基金 国家自然科学基金赞助项目(编号:60663002) 江西省自然科学基金赞助项目(编号:0611052)
关键词 SS-三角模 模糊逻辑系统UL^* 标准完备性 SS - norm, Fuzzy logic UL^* , Standard completeness
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参考文献6

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