Isotopic ratio, isotonic ratio, isobaric ratio and Shannon information uncertainty

The isoscaling and the isobaric yield ratio difference (IBD) probes, which both are constructed by yield ratio of fragment, provide cancelation of parameters. The information entropy theory is introduced to explain the physical meaning of the isoscaling and IBD probes. The similarity between the isoscaling and IBD results is found, i.e., the information uncertainty determined by the IBD method equals to $\beta-\alpha$ determined by the isoscaling [$\alpha$ ($\beta$) is the parameter fitted from the isotopic (isotonic) yield ratio].