: Cloud computing is a subscription-based service where we can obtain networked storage space and computer resources. Since access to cloud is through internet, data stored in clouds are vulnerable to attacks from external as well as internal intruders. In order to preserve privacy of the data in cloud, several intrusion detection techniques, authentication methods and access control policies are being used. The common intrusion detection systems are predominantly incompetent to be deployed in cloud environments due to their openness and specific essence. In this paper, we compare soft computing approaches based on type-1, type-2 and interval type-2 fuzzy-neural systems to detect intrusions in a cloud environment. Using a standard benchmark data from a CIDD (Cloud Intrusion Detection Dataset) derived from DARPA Intrusion Detection Evaluation Group of MIT Lincoln Laboratory, experiments are conducted and the results are presented in terms of mean square error.