On information energy of the image fuzzy sets

Information energy is a measure of useful information obtained from a fuzzy set. This paper investigates the information energy change between the original fuzzy set and the image fuzzy set, through the extension principle. Some methods, by which the information energy of the image fuzzy set can be directly obtained without calculating its membership function, are studied. Useful formulas calculating the information energy of the image of the same shape fuzzy numbers are specifically introduced.