L-fuzzy ideal degrees in effect algebras
Xiaowei Wei, Fu-Gui Shi · Kybernetika · 2023
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 Dei.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 Dei(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 Lα-nested sets).Finally, we obtain that the L-fuzzy ideal degree is an (L, L)-fuzzy convexity.The morphism between two effect algebras is an (L, L)-fuzzy convexity-preserving mapping.