This case study proposes a novel methodology for hospital management to plan and implement short to medium-term improvement initiatives by integrating data-driven decision-making with Multi-Criteria Decision-Making/Analysis (MCDM/A). Historical data on 165 patients operated upon in eye surgery department was first analysed (using Tableau software) to provide overall insights supported by process mining (using Celonis software) to identify the process bottlenecks that require immediate attention. The bottlenecks led to the identification of issues and their potential solutions. These potential solutions were taken as alternatives and run through Visual PROMETHEE software that incorporates the PROMETHEE II method, an MCDM/A method. By adopting a visual approach, the hospital management could arrive at a quick consensus regarding the actual situation and bottleneck, potential solutions to issues identified and their comparative ranking in an interactive environment. While insights from data analysis bring a consensus on the issues requiring a resolution, the solutions to these issue(s) can be compared and ranked by utilising PROMETHEE II. Hence, this paper proposes a unique methodology that facilitates both short-term and medium-term decision-making by utilising visual means for understanding current reality and developing/exploring potential solutions to identified issues.