模糊关系与模糊限制语的构成2

NAFIPS 2008 - 2008 Annual Meeting of the North American Fuzzy Information Processing Society Pub Date : 2008-05-19 DOI:10.1109/NAFIPS.2008.4531227

Eduard Bartl, R. Belohlávek, Vilém Vychodil

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引用次数: 2

摘要

我们继续上一篇论文，探索模糊关系组成的一个扩展。扩展是在真度集合上修改特定一元函数复合的标准公式。利用新的复合算子研究了模糊关系方程。作为一个特殊的例子，新算子将模糊关系分解为清晰关系和模糊关系。给出了几种类型的模糊关系方程的可解性准则。此外，我们还提供了新组合与特定类型的数据依赖关系之间的连接。

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Compositions of fuzzy relations with hedges II

We continue our previous paper and explore an extension of compositions of fuzzy relations. The extension consists in modifying the standard formulas for composition by particular unary functions on the set of truth degrees. We study fuzzy relational equations using the new composition operators. As a particular example, the new operators lead to a decomposition of a fuzzy relation into a crisp relation and a fuzzy relation. We provide solvability criteria for several types of fuzzy relational equations. In addition, we present a connection between the new compositions and a particular type of data dependencies.

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NAFIPS 2008 - 2008 Annual Meeting of the North American Fuzzy Information Processing Society

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