In today’s era, machines are used in each field; they are becoming an essential part of today's lifestyle. Despite their ubiquity, machines are susceptible to breakdowns, prompting the need for proactive measures to forestall such disruptions. This study is about the investigation of unreliable systems with working vacation and multiple breakdowns with association of preventive maintenance. The implementation of preventive maintenance proves instrumental in averting breakdowns, thereby minimizing downtime, and enhancing system productivity. To facilitate a comprehensive analysis, state-transition rate diagrams, coupled with corresponding governing differential equations are provided. For computing the stationary queue length, matrix-geometric method is executed. To analyze the graph and results of purposed model soft computational techniques, MATLAB is used. Further, various performance results for concerned system are provided, which are further evaluated by using Adaptive Network-based Fuzzy Interference Systems (ANFIS).