*Department of Mathematics, M. Kumarasamy College of Engineering, Karur (Autonomous)
**Department of Mathematics, Vivekanandha College of Arts and Science for Women (Autonomous), Tiruchengode
Online published on 7 May, 2019.
In this Paper, a fixed point theory concept of triangular fuzzy numbers is considered to study fuzzy metric space and established some properties of triangular metric space along with contraction mapping are revised in terms of triangular fuzzy numbers and also be a contraction on then has unique fixed points theorem proved. In this method it gives more accurate and approximate solution of real life situation and numerical illustrations are given
Fuzzy Topology, Fuzzy metric space, Fuzzy contraction, Fuzzy set, topological space, triangular fuzzy number, etc
