In this study, we present two types of fuzzy counterparts to the probabilistic latent semantic analysis (pLSA) approach. The first type is derived by solving the optimization problem of Tsallis entropy-penalizing free energy of a pseudo pLSA model using a modified i.i.d. assumption; this derivation is similar to that of the conventional fuzzy counterpart of the pLSA that involves solving the optimization problem of Shannon entropy-penalizing free energy. The second proposed approach is derived from the first approach by letting the fuzzification parameter approach infinity; this derivation is similar to the derivation of a fuzzy clustering algorithm from another fuzzy clustering algorithm by letting the fuzzification parameter approach infinity. Furthermore, some numerical examples for the proposed methods are presented.