Title of article :
The Study of Felbin and BS Fuzzy Normed Linear Spaces
Author/Authors :
Yaqub Azari ، Farnaz Department of Mathematics - Sahand University of Technology , Sadeqi ، Ildar Department of Mathematics - Sahand University of Technology
Abstract :
In this paper, we first show that the induced topologies by Felbin and Bag-Samanta type fuzzy norms on a linear space X are equivalent. So all results in Felbin-fuzzy normed linear spaces are valid in Bag-Samanta fuzzy normed linear spaces and vice versa. Using this, we will be able to define a fuzzy norm on FB(X, Y ), the space of all fuzzy bounded linear operators from X into Y , where X and Y are fuzzy normed linear spaces.
Keywords :
Fuzzy number , Fuzzy normed linear space (FNLS) , Fuzzy bounded operator
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
