Bornological structures in the context of L-fuzzy sets

DOI

10.2991/eusflat.2013.73How to use a DOI?

Keywords

Bornology L-fuzzy bornology L-valued bornology bounded mapping fuzzy metric D-bounded set B-bounded set

Abstract

In order to apply the concept of boundedness, so crucial in the theory of metric spaces, to the case of a general topological space Hu Sze-Tsen introduced the notions of a bornological space and of boundedness for a mapping of bornological spaces. In this work we discuss two alternative approaches how the concepts of bornology and boundedness can be extended to the case of fuzzy sets and many-valued structures.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Alexander Sostak
AU  - Ingrida Uljane
PY  - 2013/08
DA  - 2013/08
TI  - Bornological structures in the context of L-fuzzy sets
BT  - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 521
EP  - 528
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.73
DO  - 10.2991/eusflat.2013.73
ID  - Sostak2013/08
ER  -