Fuzzy rule interpolation for multidimensional input space with petroleum engineering application

Fuzzy rule based systems have been very popular in many engineering applications. In petroleum engineering, fuzzy rules are normally constructed using some fuzzy rule extraction techniques to establish the petrophysical property prediction model. However, when generating fuzzy rules from the available information, it may result in a sparse fuzzy rule base. The use of more than one input variable is also common in petroleum engineering. The paper examines the application of fuzzy interpolation to resolve problems using sparse fuzzy rule bases, and perform analysis of fuzzy interpolation in multidimensional input space.