Abstract In this paper, we introduce observable L-fuzzy subsets of an L-fuzzy set in a locally vague environment, and give their axiomatization. In addition to this, lower and upper observability operators that enable us to approximate non-observable L-fuzzy sets within some observable bounds are studied. In particular, we deal with their topological characterization, and expose that they can be identified with the stratified L-interior and the stratified L-closure operators of a stratified Alexandroff L-topology on an L-fuzzy set.

中文翻译：

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局部模糊环境中的可观察性

摘要 在本文中，我们引入了局部模糊环境中 L-fuzzy 集的可观察 L-fuzzy 子集，并给出了它们的公理化。除此之外，研究了使我们能够在某些可观察范围内近似不可观察的 L 模糊集的下和上可观察性算子。特别地，我们处理了它们的拓扑特征，并揭示了它们可以通过 L-模糊集上的分层 Alexandroff L-拓扑的分层 L-内部和分层 L-闭包算子来识别。