量化容差关系的进一步研究(1)(4)
2015-09-07 01:01
导读:,容差度阈值 λ1,λ2∈[0,1],则知识 A对于知识 B的正区域 表示为: .定义2.8 令 S为一IIS, ,容差度阈值 λ1,λ2∈[0,1],知识 B以程度 k依赖于知识 A,表
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,容差度阈值 λ1,λ2∈[0,1],则知识 A对于知识 B的正区域
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表示为:
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.定义2.8 令 S为一IIS,
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,容差度阈值 λ1,λ2∈[0,1],知识 B以程度 k依赖于知识 A,表示为
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,其中
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. 当k=0 时,知识依赖表示为
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;当k=1 时,知识依赖表示为
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.定理2.6 令 S为一IIS,
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,容差度阈值λ1,λ2,λ3∈[0,1]且
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,如果有知识依赖
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,
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,那么
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.证明:对于
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,根据定理2.1,因为
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,所以
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,即
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.所以
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. 定理2.6说明随着知识依赖的被依赖部分的容差度阈值逐渐减少,依赖部分对于被依赖部分的依赖程度逐渐减小。定理2.7 令 S为一IIS,
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,容差度阈值λ1,λ2,λ3∈[0,1]且
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