Abstract
In this paper, a regression model is developed to estimate attribute reliability in the evidential reasoning (ER) context. By analysing the difference between attribute weight and attribute reliability, a general qualitative definition of attribute reliability is provided. The reliability of an attribute is quantitatively measured in consistence with the qualitative definition in the context of the ER approach. A regression model is then constructed to generate attribute reliabilities by minimising the maximum differences between the real value of attribute reliability and its estimation. Within the post-optimal solution space of attribute reliabilities, an optimisation model is constructed to determine the expected utilities of each alternative in order to generate solutions to multiple attribute decision analysis problems. A sale place selection problem in Qingyang County of Chizhou in Anhui province of China is analysed using the proposed regression model to demonstrate its detailed implementation process, validity and applicability.
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