TY - JOUR
T1 - Enriched (L,M)-fuzzy convergence spaces
AU - Pang, Bin
N1 - Publisher Copyright:
© 2014 - IOS Press and the authors. All rights reserved.
PY - 2014
Y1 - 2014
N2 - This paper presents a definition of enriched (L,M)-fuzzy convergence spaces. It is shown that the resulting category E(L,M)-FC is a Cartesian closed topological category, which can embed the category E(L,M)-FTop of enriched (L,M)-fuzzy topological spaces as a reflective subcategory. Also, it is proved that the category of topological enriched (L,M)-fuzzy convergence spaces is isomorphic to E(L,M)-FTop and the category of pretopological enriched (L,M)-fuzzy convergence spaces is isomorphic to the category of enriched (L,M)-fuzzy quasi-coincident neighborhood spaces.
AB - This paper presents a definition of enriched (L,M)-fuzzy convergence spaces. It is shown that the resulting category E(L,M)-FC is a Cartesian closed topological category, which can embed the category E(L,M)-FTop of enriched (L,M)-fuzzy topological spaces as a reflective subcategory. Also, it is proved that the category of topological enriched (L,M)-fuzzy convergence spaces is isomorphic to E(L,M)-FTop and the category of pretopological enriched (L,M)-fuzzy convergence spaces is isomorphic to the category of enriched (L,M)-fuzzy quasi-coincident neighborhood spaces.
KW - (Enriched) (L,M)-fuzzy convergence structure
KW - (Enriched) (L,M)-fuzzy quasi-coincident neighborhood system
KW - (Enriched) (L,M)-fuzzy topology
KW - Cartesian closed category
UR - http://www.scopus.com/inward/record.url?scp=84903891302&partnerID=8YFLogxK
U2 - 10.3233/IFS-130981
DO - 10.3233/IFS-130981
M3 - Article
AN - SCOPUS:84903891302
SN - 1064-1246
VL - 27
SP - 93
EP - 103
JO - Journal of Intelligent and Fuzzy Systems
JF - Journal of Intelligent and Fuzzy Systems
IS - 1
ER -