It is quite difficult as to how to choose an appropriate home elevator, because the factories manufacturing home elevator are numerous and the models of production are different. Therefore, this article combines fuzzy math with extension theory on the basis of matter element theory, extension set theory and correlation function, constructs a classical matter element and a segment field matter element by classifying home elevator performance and making a performance index membership zero dimension, and establishes an extension fuzzy evaluation model of home elevator performance levels. The example in this article shows that the established method is able to evaluate actual home elevator performance. Because it manufactures home elevator are numerous and the models of production are different theory and correlation function, constructs a classical matter element and a segment field matter element by classifying home elevator performance and making a performance index membership zero dimension, and establishing an extension fuzzy evaluation model of home elevator performance levels. The example in this article shows that the established method is able to evaluate actual home elevator performance.