Abstract: In this paper, using the concept of horizontal membership functions, a new definition of fuzzy derivative called granular derivative is proposed based on granular difference. Moreover, a new ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

It is shown that a continuous function which Riemann is said to have believed to be nowhere differentiable is in fact differentiable at certain points. Note: The article usage is presented with a ...