Affiliations: [a] Research Scholar, Bharathiar University, Prince Shri Venkateshwara Padmavathy Engineering College, Chennai, India
| [b] Department of Mathematics, SSN College of Engineering, Old Mahabalipuram Road, Chennai, Tamil Nadu, India
| [c] Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India
| [d] Department of Mathematics, National Institute of Technology Durgapur, Durgapur, India
Correspondence:
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Corresponding author. Sankar Sahoo, Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India. E-mail: rsmo_ssahoo@mail.vidyasagar.ac.in.
Abstract: Telecommunication system plays a vital role nowadays. It is important for the service provider to retain a customer in his network. Churning of customer is a major problem in telecommunication network. A graph theoretic approach for identification of such customer in a communication network is proposed. The presence of interior node and end node in a fuzzy graph and their properties are discussed based on sum distance metric. The effect of interior node and end node on blocks is analyzed. The condition for existence of interior node in complete fuzzy graph is discussed. Interior node acts as a sensory node which loses its property if there is a decrease in number of outgoing calls or duration of calls decreases. A fuzzy telecommunication network model with interior node is presented and its advantage over usual networking system is given.
