The mean molecular connectivity indices (MMCI) proposed and used in previous studies are used here in conjunction with the well-known molecular connectivity indices (MCI) to remodel six properties of organic solvents. The MMCI and MCI descriptors of the multilinear relationships for the six properties, obtained with the multilinear least - squares (MLS) procedure, were used to perform the artificial neural network (ANN) computations. The aim is to detect adavantages and underline the limits of the ANN approach that, even if it is able to refine and improve the model, it is somewhat ‘fuzzy’ concerning the stability of the modeling. The MLS procedure is able to replicate the obtaiend results as long as one wishes, a characteristic not shared by the ANN methodology, which, if on one side increases the quality of a description on the other increases also its overfitting. The present study reveals also how ANN methods prefer MCI relatively to MMCI descriptors. Four different types of ANN computations show that (i) MMCI descriptors are preferred with properties with poor number of points. MLS (ii) is to be preferred over ANN statistical results, with some exceptions, when the number of ANN weights is similar to the number of correlation coefficients of MLS. Furthermore, in (iii) some cases MLS modeling quality is quite similar to the modeling quality of ANN computations.