Abstract: Metamorphic testing can alleviate the oracle problem in software testing, and the construction of metamorphic relations in this method is a difficult problem, which will affect the result of testing directly. I}his paper analysed the construction of effective metamorphic relations based on typical case studies, summarizeed several criterions of selecting useful relations,and the rationality of our criterions was verified through case studies with mutation analysis. The paper also proposed a testing strategy of combining metamorphic testing and equivalence testing. It can be used in the testing of programs whose input spaces are easy to be classified.

Key words: Software testing, Oracle problem, Metamorphic testing, Metamorphic relation