Cartesian-closedness and subcategories of (L, M)-fuzzy Q-convergence spaces

Bin Pang; Lin Zhang

doi:10.1007/s00500-021-06057-w

Cartesian-closedness and subcategories of (L, M)-fuzzy Q-convergence spaces

Bin Pang^*
, Lin Zhang^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

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

2 Citations (Scopus)

Abstract

In this paper, we first construct the function space of (L, M)-fuzzy Q-convergence spaces to show the Cartesian-closedness of the category (L, M)-QC of (L, M)-fuzzy Q-convergence spaces. Secondly, we introduce several subcategories of (L, M)-QC, including the category (L, M)-KQC of (L, M)-fuzzy Kent Q-convergence spaces, the category (L, M)-LQC of (L, M)-fuzzy Q-limit spaces and the category (L, M)-PQC of (L, M)-fuzzy pretopological Q-convergence spaces, and investigate their relationships.

Original language	English
Pages (from-to)	11459-11469
Number of pages	11
Journal	Soft Computing
Volume	25
Issue number	17
DOIs	https://doi.org/10.1007/s00500-021-06057-w
Publication status	Published - Sept 2021

Keywords

(L, M)-fuzzy Q-convergence
Bireflective (bicoreflective) subcategory
Cartesian-closedness
Function space

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10.1007/s00500-021-06057-w

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abstract = "In this paper, we first construct the function space of (L, M)-fuzzy Q-convergence spaces to show the Cartesian-closedness of the category (L, M)-QC of (L, M)-fuzzy Q-convergence spaces. Secondly, we introduce several subcategories of (L, M)-QC, including the category (L, M)-KQC of (L, M)-fuzzy Kent Q-convergence spaces, the category (L, M)-LQC of (L, M)-fuzzy Q-limit spaces and the category (L, M)-PQC of (L, M)-fuzzy pretopological Q-convergence spaces, and investigate their relationships.",

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author = "Bin Pang and Lin Zhang",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

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AU - Pang, Bin

AU - Zhang, Lin

PY - 2021/9

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N2 - In this paper, we first construct the function space of (L, M)-fuzzy Q-convergence spaces to show the Cartesian-closedness of the category (L, M)-QC of (L, M)-fuzzy Q-convergence spaces. Secondly, we introduce several subcategories of (L, M)-QC, including the category (L, M)-KQC of (L, M)-fuzzy Kent Q-convergence spaces, the category (L, M)-LQC of (L, M)-fuzzy Q-limit spaces and the category (L, M)-PQC of (L, M)-fuzzy pretopological Q-convergence spaces, and investigate their relationships.

AB - In this paper, we first construct the function space of (L, M)-fuzzy Q-convergence spaces to show the Cartesian-closedness of the category (L, M)-QC of (L, M)-fuzzy Q-convergence spaces. Secondly, we introduce several subcategories of (L, M)-QC, including the category (L, M)-KQC of (L, M)-fuzzy Kent Q-convergence spaces, the category (L, M)-LQC of (L, M)-fuzzy Q-limit spaces and the category (L, M)-PQC of (L, M)-fuzzy pretopological Q-convergence spaces, and investigate their relationships.

KW - (L, M)-fuzzy Q-convergence

KW - Bireflective (bicoreflective) subcategory

KW - Cartesian-closedness

KW - Function space

UR - https://www.scopus.com/pages/publications/85111527186

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DO - 10.1007/s00500-021-06057-w

M3 - Article

AN - SCOPUS:85111527186

SN - 1432-7643

VL - 25

SP - 11459

EP - 11469

JO - Soft Computing

JF - Soft Computing

IS - 17

ER -

Cartesian-closedness and subcategories of (L, M)-fuzzy Q-convergence spaces

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Keywords

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