On the Intuitionistic fuzzy topological (metric and normed) spaces

Details On the Intuitionistic fuzzy topological (metric and normed) spaces On the Intuitionistic fuzzy topological (metric and normed) spaces

2005-01-11

arxiv.org/abs/math/0501149v1

Mathematics

General Topology

16 pages

Scientific paper

In this paper, we define precompact set in intuitionistic fuzzy metric spaces and prove that any subset of an intuitionistic fuzzy metric space is compact if and only if it is precompact and complete. Also we define topologically complete intuitionistic fuzzy metrizable spaces and prove that any $G_{\delta }$ set in a complete intuitionistic fuzzy metric spaces is a topologically complete intuitionistic fuzzy metrizable space and vice versa. Finally, we define intuitionistic fuzzy normed spaces and fuzzy boundedness for linear operators and so we prove that every finite dimensional intuitionistic fuzzy normed space is complete.

Affiliated with

Also associated with

No associations

Rating

On the Intuitionistic fuzzy topological (metric and normed) spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Intuitionistic fuzzy topological (metric and normed) spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Intuitionistic fuzzy topological (metric and normed) spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-201894