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首页> 外文期刊>Fuzzy sets and systems >Type < 1, 1 > fuzzy quantifiers determined by fuzzy measures on residuated lattices. Part III. Extension, conservativity and extensionality
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Type < 1, 1 > fuzzy quantifiers determined by fuzzy measures on residuated lattices. Part III. Extension, conservativity and extensionality

机译:通过剩余格上的模糊测度确定的类型<1,1>模糊量词。第三部分扩展性,保守性和可扩展性

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摘要

We study the properties of extension, conservativity and extensionality of fuzzy quantifiers of type < 1, 1 > defined using fuzzy measures and integrals. The property of extension states that truth values of quantifier applications are invariant with respect to possible extensions of the universe. Conservativity expresses the property that quantifiers are sensitive in their second argument only to objects that lie in the intersection of their arguments. Extensionality represents a form of the smoothness of quantifiers. We characterize these properties by the corresponding properties of functionals used in the definition of fuzzy quantifiers. (C) 2014 Elsevier B.V. All rights reserved.
机译:我们研究了使用模糊测度和积分定义的类型为<1,1>的模糊量词的可扩展性,保守性和可扩展性。扩展的性质表明,量词应用的真值相对于宇宙的可能扩展是不变的。保守性表示量词在其第二个自变量中仅对位于其自变量交叉处的对象敏感的属性。可扩展性表示量词平滑度的一种形式。我们通过在模糊量词的定义中使用的功能的相应属性来表征这些属性。 (C)2014 Elsevier B.V.保留所有权利。

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