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Accepted 18/Aug/2018, Online 30/Aug/2018 ABSTRACTFuzzy graphs are used as device for modeling and description of the real world. Network systems such are Banking, Transport, water, electricity, internet, work operations schemes in the process of production, construction etc.... Banking system keeps the day by day tally record as a complete banking. It can keep the information of account type, account opening form, deposit, with drawl and searching the transaction. The working of banking account system and cover the basic functionality of a bank account management system. The main focus is to a systematic study of algorithms. Basic banking itself needs to be supported by innovative strategies, in order to improve the reach and reduce the operating cost of the banks. Infrastructure sharing amongst banks and organizations will help in lowering the in commission cost and thus the cost benefit can be transferred to customers. Greater use of technology should be made by the banks to improve their reach, speed of processing, as well as to cut down the operating cost. An illustrative example is included to demonstrate the proposed algorithm. This paper is designed to find a key application of the fund available for investment for the customer to the bank using Nearest Neighbor Algorithm, Repeated Nearest Neighbor Algorithm, Cheapest Link Algorithm and Kruskal's Algorithm to a randomly weighted fuzzy graph. These algorithm continuously increases the size of a fuzzy tree, one edge at a time, starting with a fuzzy tree consisting of a single vertex, until it spans all vertices of the fuzzy graph.

Constructing Spanning Tree in Banking Sector Problem Using Different Types of Algorithms