Background and Objective: Websites are mainly used as a virtual image and promotional platform of the organization that display all information and services given by them. There is a necessity for successive monitoring the condition of the website to give a strong internet-based information delivery and communication to the community while web presence considers as a strong indicator of the performance and reputation of a website and it is a good indicator to find out where the specific website is on the web, how good the content is and how it relates to the other parties. The objective was to engage this study in a scientific discussion on feasibility of a multi-level grey evaluation model based on linguistic terms characterized by interval grey numbers to evaluate webometric status of websites which include various multidimensional technological and logical factors. Materials and Methods: The study conducted an extensive literature review along with discussions with local experts to identify the criteria that affect to the web presence of a website and how to measure these criteria. The model for evaluating web presence of websites was developed based on the grey theories while research into the mathematics underlying the grey theories using books and studies published research papers. Results: A case application was carried out in assessing the web presence of university library websites in Sri Lanka to make the model more understandable. The results declare that the model is easy to use, understandable, robust as well as scientific than the human evaluation processes and other traditional ways. The results suggested that each attribute constitutes differently to evaluate the web presence of each website which will help decision-makers to know what improvements are needed to enhance the effectiveness and the final relative weights of each alternative at the last level of the hierarchy, could lead to commend the best option. Conclusion: The research approach criteria and their relative impact provide useful information to monitor the effectiveness of the current websites and provide strategic suggestions to develop enhanced websites.
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