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L -fuzzy ideal degrees in effect algebras

Xiaowei WeiFu Gui Shi — 2022

Kybernetika

In this paper, considering L being a completely distributive lattice, we first introduce the concept of L -fuzzy ideal degrees in an effect algebra E , in symbol 𝔇 e i . Further, we characterize L -fuzzy ideal degrees by cut sets. Then it is shown that an L -fuzzy subset A in E is an L -fuzzy ideal if and only if 𝔇 e i ( A ) = , which can be seen as a generalization of fuzzy ideals. Later, we discuss the relations between L -fuzzy ideals and cut sets ( L β -nested sets and L α -nested sets). Finally, we obtain that the L -fuzzy...

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