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This study aims to examine the relationship between corporate social responsibility (CSR) award and sustainability assurance levels for the French CAC 40 companies.

A sample of 57 French companies in the CAC 40 index corresponding to 448 observations was analyzed between 2008 and 2020 using an ordinal regression.

The main results conclude that the inclusion in the Dow Jones Sustainability Index World, the CSR award and the introduction of the Grenelle 2 law have a significant influence on sustainability assurance levels. However, incentive compensation does not appear to be relevant to explain sustainability assurance levels.

The present study focuses on a sample, limited to companies belonging to the CAC 40 index. To enhance the understanding of sustainability assurance levels, this research may include other global sustainability indices, such as the MSCI World and the FTSE4Good World, in the CSR awards.

This study could be useful for audit practitioners, leading them to reconsider their evaluation methods and take into account CSR incentives for a more objective analysis. Regulators should investigate the current CSR issues to improve CSR disclosure standards. Finally, these findings could motivate other researchers to expand the scope of the research to diverse contexts.

This study helps fill the gap existing in sustainability assurance literature by highlighting the relationship between CSR rewards and sustainability assurance levels.

Supply chain management (SCM)-embedded valuable resources, such as capital, raw-materials, products, partners, customers and finished inventories, where the evaluation of environmental texture and flexibilities are needed to perceive sustainability. The present study aims to identify and evaluate the directory of green and agile (G-A) attributes based on decision support framework (DSF) for identifying dominating measures in SCM.

DSF is developed by exploiting generalized interval valued trapezoidal fuzzy numbers (GIVTFNs). Two technical approaches, i.e. degree of similarity approach (DSA) and distance approach (DA) under the extent boundaries of GIVTFNs, are implicated for data analytics and for recognizing constructive G-A measures based on comparative study for robust decision. A fuzzy-based performance indicator, i.e. fuzzy performance important index (FPII), is presented to enumerate the weak and strong G-A characteristics to manage knowledge risks in allied business environment.

The modeling is illustrated from the insights of decision-makers for augmenting business value based on cognitive identification of measures, where the best performance score is identified by the “sustainable packaging” under the traits of green supply chain management (GSCM). “The use of Web-based applications” under the traits of agile supply chain management (ASCM) and “Outsourcing flexibility” under traits of ASCM is found as the second and third most significant performance characteristics for business sustainability. Additionally, the “Reutilization (recycling) and reprocessing” under GSCM in manufacturing and “Responsiveness and speed toward customers needs” under ASCM are found difficult in attainment.

The G-A evaluation will assist in attaining performance excellence in day-to-day operations and overall functioning. The outcomes will help executives to plan strategic objectives and attaining success.

To reinforce the capabilities of SCM, wide extent of G-A dimensions are presented, concept of FPII is reported to manage knowledge risks based on identification of strong attributes and two technical approaches, i.e. DSA and DA under GIVTFNs are presented for attaining robust decision and directing managerial decision-making process.