Representations of L-fuzzy rough approximation operators

Yan, Sun; Shi, Fu-Gui

doi:10.1016/j.ins.2023.119324

Cited by 3 publications

(1 citation statement)

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“…Compatible subsets as the union of some equivalence classes, which shows compatibility between a subset and an equivalence relation, are a special class of subsets in an approximation space. As an example of compatible subsets, the upper and lower approximations of a rough set are used to solve uncertainty problems [34,39] in rough set theory [13,35]. Klawonn et al [19] proposed the concepts of a compatible L-subset and a compatible mapping under the framework of an L-approximation space by generalizing those in the DOI: 10.14736/kyb-2024-2-0172 classical case.…”

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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Section: Introductionmentioning

confidence: 99%

Degrees of compatible L-subsets and compatible mappings

Shi,

Sun

2024

Kybernetika

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Relational correspondences for L-fuzzy rough approximations defined on De Morgan Heyting algebras

Järvinen,

Kondo

2023

Soft Comput

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We consider fuzzy rough sets defined on De Morgan Heyting algebras. We present a theorem that can be used to obtain several correspondence results between fuzzy rough sets and fuzzy relations defining them. We characterize fuzzy rough approximation operators corresponding to compositions of reflexive, transitive, mediate, Euclidean and adjoint fuzzy relations defined on De Morgan Heyting algebras using only a single axiom.

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Axiomatic approaches to three types of L-valued rough sets

Chen,

Wei

2024

Int. J. Mach. Learn. & Cyber.

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Representations of L-fuzzy rough approximation operators

Cited by 3 publications

References 41 publications

Degrees of compatible L-subsets and compatible mappings

Degrees of compatible L-subsets and compatible mappings

Relational correspondences for L-fuzzy rough approximations defined on De Morgan Heyting algebras

Axiomatic approaches to three types of L-valued rough sets

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