Volume no :5, Issue no: 1, May 2010

Journal of Mathematical Sciences: Advances and Applications

ON EMBEDDING FUZZY NUMBERS INTO A BANACH SPACE

Author's: F. Berna Benli and Danyal Soybaş
Pages: [103] - [112]
Received Date: March 2, 2010
Submitted by: Morteza Seddighin

Abstract

Let F be the set of all fuzzy numbers. In this study, we embed F into a non-separable and non-reflexive unital Banach algebra A containing F by means of a norm defined on A, which enable us to consider F as a subset of A. Besides, the Banach lattice structure of the space A according to a partial order, we define on A has been touched on.

Keywords

fuzzy numbers, reflexivity, separability, Banach algebra.