TY - JOUR
T1 - Cartesian-closedness and subcategories of (L, M)-fuzzy Q-convergence spaces
AU - Pang, Bin
AU - Zhang, Lin
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2021/9
Y1 - 2021/9
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
U2 - 10.1007/s00500-021-06057-w
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 -