SOME PROPERTIES OF THE SPACE OF FUZZY BOUNDED LINEAR OPERATORS

  • Hwang, In Ah (Department of Mathematics Education Hannam University) ;
  • Rhie, Gil Seob (Department of Mathematics Hannam University)
  • Received : 2008.05.19
  • Accepted : 2008.08.14
  • Published : 2008.09.30

Abstract

In this paper, we will show that ($CF(X,K),{\chi}_{{\parallel}{\mid}{\cdot}{\parallel}{\mid}}$) is a fuzzy Banach space using that the dual space $X^*$ of a normed linear space X is a crisp Banach space. And for a normed linear space Y instead of a scalar field K, we obtain ($CF(X,Y),{\rho}^*$) is a fuzzy Banach space under the some conditions.

Keywords

Acknowledgement

Supported by : Hannam University