This book is a review study focusing on the methodology of Data Envelopment Analysis. Neuro-fuzzy data envelopment analysis is a one of the most important method to forecast data efficiency. In this book, we will first present briefly fuzzy logic, Data Envelopment Analysis method and its neuro fuzzy data envelopment extension including methods applied to banking sector. This research was conducted using 4 bank branches data between 2010-2014 years to forecast efficiency of 2015 year data.Secondly, the fuzzy logic, fuzzy sets, artificial neural network and also membership functions are explained. The main goal of this thesis is the use of fuzzy method and artificial neural network method to estimate forecasting future of fuzzy data.Finally, we propose and test a 4 bank branches DEA models that aims to forecast efficiency data of 2015 year.