On the intuitionistic fuzzy topological spaces

By Reza Saadati. 2005

271 citations recorded by the source corpus.

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 Gδ 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.

Subfields: Astronomy and Astrophysics, Geometry and Topology, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/8383033e51029eb9dfa701ff66fc2221c7bca401

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. M. Rafi
2. Oktay Duman
3. M. Noorani
4. Kamil Demirci
5. Sevda Karakus

In Geometry and Topology

1. M. Rafi
2. Oktay Duman
3. M. Noorani
4. Kamil Demirci
5. Sevda Karakus

In Management Science and Operations Research

1. M. Rafi
2. Oktay Duman
3. M. Noorani
4. Kamil Demirci
5. Sevda Karakus

Citations in the corpus

• Statistical convergence on intuitionistic fuzzy normed spaces (2008, methodology): “We also recall that the concepts of convergence and Cauchy sequence in an intuitionistic fuzzy normed space are studied in [ 25 ].”
• FIXED POINT THEOREM ON INTUITIONISTIC FUZZY METRIC SPACES (2006, methodology): “We review some basic concepts in intuitionistic fuzzy metric spaces as well as the intuitionistic fuzzy topology due to Saadati and Park [6].”