TOWARDS THE THEORY OF L-BORNOLOGICAL SPACES

نویسندگان
Abel, Mati ID 1
ˇSostaks, Aleksandrs ID 2

1 Institute of Pure Mathematics, University of Tartu, J.Liivi street 2, EE-50409 Tartu, Estonia

2 Department of Mathematics, University of Latvia, Zellu street 8, LV-1002, Riga, Latvia and Institute of Mathematics and CS, University of Latvia, Raina bulv. 29, LV-1586, Riga, Latvia

doi
10.22111/ijfs.2011.233
چکیده

The concept of an $L$-bornology is introduced and the theory of $L$-bornological spacesis being developed. In particular the lattice of all $L$-bornologies on a given set is studied and basic properties ofthe category of $L$-bornological spaces and bounded mappings are investigated.

کلیدواژه‌ها
Bornology, $L$-set, $L$-bornology, Fuzzy set, fuzzy topology