In this paper, considering L being a completely distributive lattice, we propose a degree approach to L-fuzzy bi-ideals in an ordered semigroup. Firstly, we introduce the concept of L-fuzzy bi-ideal degree with respect to an ordered semigroup, which can be used to describe the degree to which an L-fuzzy subset of the ordered semigroup becomes an L-fuzzy bi-ideal. Secondly, we characterize L-fuzzy bi-ideal degree by cut sets. Finally, we provide a natural way to construct an L-fuzzy convex structure on an ordered semigroup via the L-fuzzy bi-ideal degree, and show that the homomorphism between two ordered semigroups is an L-fuzzy convexity-preserving mapping and the monohomomorphism is an L-fuzzy convex-to-convex mapping.
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An et al. (Wed,) studied this question.
www.synapsesocial.com/papers/69b6068883145bc643d1c910 — DOI: https://doi.org/10.2298/fil2521287a
Yingying An
Yongchao Wang
Filomat
Beijing Institute of Technology
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