The proposed chapter aims at explaining theoretical frameworks of the Fuzzy AHP and Fuzzy TOPSIS extension approaches and also summarizes the recent research around these two concepts. To help reader understand the practical usage of the two approaches, it also demonstrates their applications on the significant problem of ERP Selection. The techniques are further illustrated with the help of an organization case study located in NCR, Delhi (India). Further, a comparative analysis will be made between the two techniques by taking into account their time complexities.