TY - JOUR
T1 - Stratified (L,M)-fuzzy Q-convergence spaces
AU - Pang, Bin
AU - Zhao, Yi
N1 - Publisher Copyright:
© 2016, University of Sistan and Baluchestan. All rights reserved.
PY - 2016/8/1
Y1 - 2016/8/1
N2 - This paper presents the concepts of (L,M)-fuzzy Q-convergence spaces and stratified (L,M)-fuzzy Q-convergence spaces. It is shown that the category of stratified (L,M)-fuzzy Q-convergence spaces is a bireflective sub-category of the category of (L,M)-fuzzy Q-convergence spaces, and the former is a Cartesian-closed topological category. Also, it is proved that the category of stratified (L,M)-fuzzy topological spaces can be embedded in the category of stratified (L,M)-fuzzy Q-convergence spaces as a reflective subcategory, and the former is isomorphic to the category of topological stratified (L,M)-fuzzy Q-convergence spaces.
AB - This paper presents the concepts of (L,M)-fuzzy Q-convergence spaces and stratified (L,M)-fuzzy Q-convergence spaces. It is shown that the category of stratified (L,M)-fuzzy Q-convergence spaces is a bireflective sub-category of the category of (L,M)-fuzzy Q-convergence spaces, and the former is a Cartesian-closed topological category. Also, it is proved that the category of stratified (L,M)-fuzzy topological spaces can be embedded in the category of stratified (L,M)-fuzzy Q-convergence spaces as a reflective subcategory, and the former is isomorphic to the category of topological stratified (L,M)-fuzzy Q-convergence spaces.
KW - (Stratified) (L,M)-fuzzy qconvergence structure
KW - (Stratified) (L,M)-fuzzy topology
KW - Cartesian-closedness
KW - Topological category
UR - http://www.scopus.com/inward/record.url?scp=84984900738&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:84984900738
SN - 1735-0654
VL - 13
SP - 95
EP - 111
JO - Iranian Journal of Fuzzy Systems
JF - Iranian Journal of Fuzzy Systems
IS - 4
ER -