Abstract: A communication network system comprising a communication line network, a plurality of terminals connected to the communication line network, and a fuzzy control unit for allocating a right to access the communication network according to a fuzzy deduction process taking into account an operating condition of the system. This communication network system may consist of a local area network involving a polling process or a token passing process, a computer terminals systems, or a telephone exchange system. By using a fuzzy control process, an efficient utilization of available resources is made possible by taking into account operating conditions of the network as a whole, or each of the terminals.