International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 24, Pages 3963-3977
doi:10.1155/IJMMS.2005.3963
Fuzzy n-normed linear space
Al. Narayanan
and S. Vijayabalaji
Department of Mathematics, Annamalai University, Annamalai Nagar 608002, Tamilnadu, India
Abstract
The primary purpose of this paper is to introduce the notion of fuzzy n-normed linear space as a generalization of n-normed space. Ascending family of α-n-norms corresponding to fuzzy n-norm is introduced. Best approximation sets in α-n-norms are defined. We also provide some results on best approximation sets in α-n-normed space.