Convex ( L , M ) -fuzzy remote neighborhood operators

Hu Zhao; Li-Yan Jia; Gui-Xiu Chen

Kybernetika (2024)

  • Issue: 2, page 150-171
  • ISSN: 0023-5954

Abstract

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In this paper, two kinds of remote neighborhood operators in ( L , M ) -fuzzy convex spaces are proposed, which are called convex ( L , M ) -fuzzy remote neighborhood operators. It is proved that these two kinds of convex ( L , M ) -fuzzy remote neighborhood operators can be used to characterize ( L , M ) -fuzzy convex structures. In addition, the lattice structures of two kinds of convex ( L , M ) -fuzzy remote neighborhood operators are also given.

How to cite

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Zhao, Hu, Jia, Li-Yan, and Chen, Gui-Xiu. "Convex $(L,M)$-fuzzy remote neighborhood operators." Kybernetika (2024): 150-171. <http://eudml.org/doc/299479>.

@article{Zhao2024,
abstract = {In this paper, two kinds of remote neighborhood operators in $(L, M)$-fuzzy convex spaces are proposed, which are called convex $(L,M)$-fuzzy remote neighborhood operators. It is proved that these two kinds of convex $(L,M)$-fuzzy remote neighborhood operators can be used to characterize $(L, M)$-fuzzy convex structures. In addition, the lattice structures of two kinds of convex $ (L,M) $-fuzzy remote neighborhood operators are also given.},
author = {Zhao, Hu, Jia, Li-Yan, Chen, Gui-Xiu},
journal = {Kybernetika},
keywords = {convex $(L,M)$-fuzzy remote neighborhood operator; $(L,M)$-fuzzy convex structure; complete lattice},
language = {eng},
number = {2},
pages = {150-171},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Convex $(L,M)$-fuzzy remote neighborhood operators},
url = {http://eudml.org/doc/299479},
year = {2024},
}

TY - JOUR
AU - Zhao, Hu
AU - Jia, Li-Yan
AU - Chen, Gui-Xiu
TI - Convex $(L,M)$-fuzzy remote neighborhood operators
JO - Kybernetika
PY - 2024
PB - Institute of Information Theory and Automation AS CR
IS - 2
SP - 150
EP - 171
AB - In this paper, two kinds of remote neighborhood operators in $(L, M)$-fuzzy convex spaces are proposed, which are called convex $(L,M)$-fuzzy remote neighborhood operators. It is proved that these two kinds of convex $(L,M)$-fuzzy remote neighborhood operators can be used to characterize $(L, M)$-fuzzy convex structures. In addition, the lattice structures of two kinds of convex $ (L,M) $-fuzzy remote neighborhood operators are also given.
LA - eng
KW - convex $(L,M)$-fuzzy remote neighborhood operator; $(L,M)$-fuzzy convex structure; complete lattice
UR - http://eudml.org/doc/299479
ER -

References

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