On the Normed Space of Equivalence Classes of Fuzzy Numbers

Abstract
We study the norm induced by the supremum metric on the space of fuzzy numbers. And then we propose a method for constructing a norm on the quotient space of fuzzy numbers. This norm is very natural and works well with the induced metric on the quotient space.
Funding Information
  • National Natural Science Foundation of China (11126087, 11201512, cstc2012jjA00001)