模糊对象范畴中的模糊逻辑解释

Journal of Fuzzy Set Valued Analysis Pub Date : 1900-01-01 DOI:10.5899/2016/JFSVA-00269

J. Močkoř

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引用次数: 1

摘要

介绍了以相似关系为对象的两类集合模型中一阶模糊逻辑公式的解释。公式被解释为这些范畴中的特殊态射，或者f-切系统，它推广了经典模糊集的$\ α $-切。研究了这两种解释在相应范畴内的关系。

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Fuzzy logic interpretations in categories of fuzzy objects

Interpretations of first order fuzzy logic formulas in models based on two categories of sets with similarity relations as objects are introduced. Formulas are interpreted either as special morphisms in these categories, or f-cut systems, which generalize $\alpha$-cuts of classical fuzzy sets. Relationships between these two interpretations of formulas in corresponding categories are investigated.

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Journal of Fuzzy Set Valued Analysis

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