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^*

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	11459-11469
页数	11
期刊	Soft Computing
卷	25
期	17
DOI	https://doi.org/10.1007/s00500-021-06057-w
出版状态	已出版 - 9月 2021

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10.1007/s00500-021-06057-w

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Pang, B., & Zhang, L. (2021). Cartesian-closedness and subcategories of (L, M)-fuzzy Q-convergence spaces. Soft Computing, 25(17), 11459-11469. https://doi.org/10.1007/s00500-021-06057-w

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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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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.

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

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