Convergence structures in (L, M)-fuzzy convex spaces

Lin Zhang; Bin Pang

doi:10.2298/FIL2309859Z

Convergence structures in (L, M)-fuzzy convex spaces

Lin Zhang, Bin Pang^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

This paper presents the concepts of (L, M)-remotehood spaces and (L, M)-convergence spaces in the framework of (L, M)-fuzzy convex spaces. Firstly, it is shown that the category of (L, M)-remotehood spaces is isomorphic to the category of (L, M)-fuzzy convex spaces. Secondly, it is proved that the category of (L, M)-fuzzy convex spaces can be embedded in the category of (L, M)-convergence spaces as a reflective subcategory. Finally, the concepts of preconvex (L, M)-remotehood spaces and preconvex (L, M)-convergence spaces are introduced and it is shown that the category of preconvex (L, M)-remotehood spaces is isomorphic to the category of preconvex (L, M)-convergence spaces.

Original language	English
Pages (from-to)	2859-2877
Number of pages	19
Journal	Filomat
Volume	37
Issue number	9
DOIs	https://doi.org/10.2298/FIL2309859Z
Publication status	Published - 2023

Keywords

(L,M)-convergence structure
(L,M)-convex ideal
(L,M)-fuzzy convex structure
(L,M)-remotehood system

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10.2298/FIL2309859Z

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AB - This paper presents the concepts of (L, M)-remotehood spaces and (L, M)-convergence spaces in the framework of (L, M)-fuzzy convex spaces. Firstly, it is shown that the category of (L, M)-remotehood spaces is isomorphic to the category of (L, M)-fuzzy convex spaces. Secondly, it is proved that the category of (L, M)-fuzzy convex spaces can be embedded in the category of (L, M)-convergence spaces as a reflective subcategory. Finally, the concepts of preconvex (L, M)-remotehood spaces and preconvex (L, M)-convergence spaces are introduced and it is shown that the category of preconvex (L, M)-remotehood spaces is isomorphic to the category of preconvex (L, M)-convergence spaces.

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KW - (L,M)-convex ideal

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KW - (L,M)-remotehood system

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Convergence structures in (L, M)-fuzzy convex spaces

Abstract

Keywords

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