Quantale-valued convex structures as lax algebras

Pang, Bin

doi:10.1016/j.fss.2023.108737

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2024

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Cited by 2 publications

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“…In 1965, Zadeh [42] introduced the notion of fuzzy sets, which plays an important role in the development of fuzzy set theory. Many mathematical structures were endowed with fuzzy set theory, such as fuzzy ideals and fuzzy filters [41], fuzzy convergence structures [12,47,48], fuzzy convex structures [24,26,33] and so on. A nonempty set with an equivalence relation on it is called an approximation space [28].…”

Section: Introductionmentioning

confidence: 99%

Degrees of compatible L-subsets and compatible mappings

Shi,

Sun

2024

Kybernetika

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Based on a completely distributive lattice L, degrees of compatible L-subsets and compatible mappings are introduced in an L-approximation space and their characterizations are given by four kinds of cut sets of L-subsets and L-equivalences, respectively. Besides, some characterizations of compatible mappings and compatible degrees of mappings are given by compatible L-subsets and compatible degrees of L-subsets. Finally, the notion of complete L-sublattices is introduced and it is shown that the product of complete L-sublattices is still a complete L-sublattice and the compatible degree of an L-subset is a complete L-sublattice.

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