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The integration of cloud computing with Software Defined Networking (SDN) has improved several features like scalability, flexibility, cost saving, sustainability and quality control. But similar to other network, SDN-based cloud is susceptible to various kinds of security issues like Distributed Denial of Service, Data Breaches and Phishing. Out of these security issues Denial of Service causes major harm to SDN-based cloud. In order to classify a normal traffic with that of malicious traffic three types of Self Organizing Maps namely Fuzzy Self Organizing Maps (FSOM), Rival Model Penalized Self Organizing Maps (RMPSOM) and Convolution Recursively Enhanced Self Organizing Map (CRESOM) have been used. The comprehension description of the proposed Adaptive Self Organizing Maps inspired SDN-Based DDoS (ASOM-SDN-DDoS) mitigation framework with its role and applications that focuses on effective detection and isolation of DDoS attacks in SDN-based cloud computing environment is presented in this paper. The option of integrating three categories of the SOM-based DDoS attack mitigation mechanisms that derives the merits of FSOM, RMPSOM and CRESOM into this adaptive framework. The predominance of the proposed ASOM-SDN-DDoS mitigation framework when compared with baseline DDoS attack mitigation frameworks investigation using simulation experiments are portrayed. In addition, the proposed ASOM-SDN-DDoS mitigation framework with its suitability and applicability is also explored and highlighted.