A fuzzy extension of ontology with custom datatype

Fuzzy Description Logic is a fuzzified extension of classical description logic to allow fuzzy expression and reasoning of knowledge. Owing to the limitation of traditional description logic applied to precise knowledge only, there have been a lot of researches on the fuzzification of classical description logic. However, so far, the results are still very limited in the ability of expression. In this paper, we use variable, a new data type, to extend a fuzzy customized datatype. Meanwhile, we also discuss how this extension can be used to enhance the expression ability of fuzzy modifiers.