Degrees of compatible L -subsets and compatible mappings

Fu Gui Shi; Yan Sun

Kybernetika (2024)

  • Issue: 2, page 172-196
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Shi, Fu Gui, and Sun, Yan. "Degrees of compatible $L$-subsets and compatible mappings." Kybernetika (2024): 172-196. <http://eudml.org/doc/299434>.

@article{Shi2024,
abstract = {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.},
author = {Shi, Fu Gui, Sun, Yan},
journal = {Kybernetika},
keywords = {$L$-approximation spaces; compatible $L$-subsets; compatible mappings; complete $L$-sublattices},
language = {eng},
number = {2},
pages = {172-196},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Degrees of compatible $L$-subsets and compatible mappings},
url = {http://eudml.org/doc/299434},
year = {2024},
}

TY - JOUR
AU - Shi, Fu Gui
AU - Sun, Yan
TI - Degrees of compatible $L$-subsets and compatible mappings
JO - Kybernetika
PY - 2024
PB - Institute of Information Theory and Automation AS CR
IS - 2
SP - 172
EP - 196
AB - 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.
LA - eng
KW - $L$-approximation spaces; compatible $L$-subsets; compatible mappings; complete $L$-sublattices
UR - http://eudml.org/doc/299434
ER -

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