Fuzzy logic provides a useful tool for dealing with decisions in which the phenomena are imprecise and vague. The application of non-parametric statistical analysis in the SERVQUAL model could be more meaningful in the presence of skewed distribution of customers’ scores. The current paper aims to construct a fuzzy SERVQUAL method for evaluating the service quality of banks in Malaysia for different market segments, namely conventional, Islamic and foreign banks. Further, a comparison of service quality gaps has been assessed with respect to demographic characteristics of the customers to answer a fundamental question “What do customers want from banking services and which elements of service quality is important for different customers?” The sample is made up of 766 bank customers, consisting of the customers from conventional, Islamic and foreign banks from different parts of Mal...