Financial performance analysis in the banking sector aims to determine the capacity for data-driven decision making. This study evaluates the financial performance of public and private deposit banks in Türkiye. In the study, we used the entropy method to determine performance weights. Then, we used the VIKOR technique, which integrates the entropy method with multi-criteria decision making. This integrated approach evaluates banks according to key dimensions such as profitability, liquidity, asset quality, and capital adequacy. We conducted the study on a sample of three public and eight private deposit banks operating in Türkiye. The data covers financial ratios starting from 2022. The findings show that two public banks have high financial performance, while publicly owned deposit banks have stronger financial performance than their privately owned counterparts. The findings provide valuable insights into the Turkish banking sector's financial stability and competitive positioning. The results of the study can guide bank managers and regulatory authorities.