a b s t r a c tA new image encryption scheme based on DNA sequence addition operation and chaos is presented. First, a DNA sequence matrix is obtained by encoding the original image, then, divide the DNA sequence matrix into some equal blocks and use the DNA sequence addition operation to add these blocks. Next, perform the DNA sequence complement operation to the result of the added matrix by using two Logistic maps. Finally, decode the DNA sequence matrix from the third step, and we can get the encrypted image. The simulation experimental results and security analysis show that our scheme not only can achieve good encryption, but can also resist exhaustive attack, statistical attack and differential attack.

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Purpose -The purpose of this paper is to introduce a methodology to help evaluate, select, and monitor sustainable supply chain performance measurement that can be integrated into a performance management system (PMS). Design/methodology/approach -Grey-based neighborhood rough set theory is used to help arrive at a core set of important business and environmental performance measures for sustainable supply chains. The supply chain operations reference (SCOR) model is used to develop both business and environmental measures for supply chain sourcing. Findings -A case illustration shows the applicability of the methodology. A sensitivity analysis shows that variations in outcome considerations may greatly influence the set of key performance measures for a sustainable supply chain PMS.Research limitations/implications -The methodology and presentation is conceptual, yet the tool can provide very useful interpretations for both researchers and practitioners. Practical implications -The tool can be valuable for companies that are trying to identify key environmental and business performance measures for their supply chains. It helps save resources by not requiring the management of a burdensome and complex set of performance measures. Originality/value -This is one of the few approaches that helps to clearly identify and narrow the set of performance measures for sustainable supply chains. It attempts to do so with minimal information loss. It is also the first time that grey techniques have been integrated with neighborhood rough set methodology.

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