Towards Monotonous Functions Approximation from Few Data With Gradual Generalized Modus Ponens: Application to Materials Science

In this paper, we present a new approach to predict monotonous functions based on approximate reasoning and in particular on the Gradual Generalized Modus Ponens (GGMP) in fuzzy logic. We propose to optimise the parameters of such fuzzy rules with a genetic algorithm considering few experimental data. We use our approach to predict some properties of materials from their manufacturing process parameters. We automatically extract causality, seek for graduality and then set up the GGMP. We tested on both toy and real world datasets. We also discuss the importance of gradual knowledge in materials science.