Larsen fuzzy reasoning algorithm is intuitively extended in this paper. Firstly, the fuzzy relation (FR) of Rp that is defined by Larsen is intuitively extended. Secondly, the intuitional fuzzy generalized modus ponens formulas and intuitional fuzzy generalized modus tollens formulas of IFR Rp are deduced. Finally, an instance is given to depict the detail of logic reasoning and computing, which verifies the validity of this method. The result shows that the intuitively extended Larsen FR algorithm is a better IFR algorithm.