Abstract

In this paper, we prove that the addition, scalar multiplication and intuitionistic fuzzy norm in an intuitionistic fuzzy normed space are all automatically continuous. The intuitionistic fuzzy continuity and boundedness of linear operators between intuitionistic fuzzy normed spaces are also discussed. Especially, it is proved that the set of all intuitionistic fuzzy continuous linear operators and the set of all intuitionistic fuzzy bounded linear operators from an intuitionistic fuzzy normed space into another are vector spaces.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call