On the normed space of equivalence classes of fuzzy numbers.
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.
College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Nanan, Chongqing 400065, China.
Dong
D
Qiu
Chongxia
C
Lu
Wei
W
Zhang
D000465:Algorithms; D017143:Fuzzy Logic; D055641:Mathematical Concepts