Some properties of fuzzy bounded sets in fuzzy normed linear spaces
Abstract
In this paper we will highlight some properties of fuzzy bounded sets in fuzzy normed linear spaces. More precisely, we will prove that any finite union or sum of fuzzy bounded sets is fuzzy bounded. We show that the closure of a fuzzy bounded set is also fuzzy bounded. We give a characterization for fuzzy bounded sets and finally we obtain that the Cartesian product of two fuzzy bounded sets is also fuzzy bounded.
- Publication:
-
International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2017)
- Pub Date:
- July 2018
- DOI:
- 10.1063/1.5043993
- Bibcode:
- 2018AIPC.1978M0009S