It is difficult to use single classification system. Usually Alexopholus and Mims system is used. Now a days both morphological as well as molecular characters taken in it account. For details contact some in CBS Netherlands for complete details.
Alexopoulos and Mims is very famous and plz refer the book by these authors. A Book by D. Alice et al, also follows this fungal classification and is widely used.
de Oliveira, Tassio Brito; Gomes, Eleni; Rodrigues, Andre, Thermophilic fungi in the new age of fungal taxonomy, EXTREMOPHILES Volume: 19 Issue: 1 Pages: 31-37 Published: JAN 2015