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Implementing green supply chain management (GSCM) initiatives can generate more business opportunities for firms. It also requires changes in firms’ operational capabilities and resources that may have an adverse effect on firms’ operations performance. In order to achieve sustainable economic and environmental performance, it is essential for companies to evaluate different green initiatives and assess improvement areas when implementing green initiatives. This study proposes a fuzzy hierarchical TOPSIS approach to support such an assessment. It enables decision makers to better understand the complete evaluation process and provide a more accurate, effective and systematic decision support tool. An illustrative case is presented to help researchers and practitioners understand the importance of developing an appropriate organisation strategy in implementing green practices.