完全模糊格中的(模糊)闭包系统

2021 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE) Pub Date : 2021-07-11 DOI:10.1109/FUZZ45933.2021.9494404

M. Ojeda-Hernández, I. P. Cabrera, P. Cordero, Emilio Muñoz-Velasco

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引用次数: 4

摘要

介绍了完全模糊格中闭包系统的两种不同的定义，一种是清晰集，另一种是模糊集。它在完全Heyting代数中赋值，并遵循完全格上的经典定义。保留了闭包系统和模糊闭包算子之间的经典双射。然后，将该概念与Bělohlávek在模糊幂集格上给出的最常用的定义进行了比较。

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On (fuzzy) closure systems in complete fuzzy lattices

Two alternative definitions of closure system in complete fuzzy lattices are introduced, first as a crisp set and then as a fuzzy one. It is valuated in a complete Heyting algebra and follows the classical definition on complete lattices. The classical bijection between closure systems and fuzzy closure operators is preserved. Then, the notion is compared with the most used definition given by Bělohlávek on the fuzzy powerset lattice.

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2021 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)

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