Memetic Algorithms in Continuous Optimization

Intuitively, a set is considered to be discrete if it is composed of isolated elements, whereas it is considered to be continuous if it is composed of infinite and contiguous elements and does not contain “holes”. More formally, to introduce the concept of continuous optimization, some preliminary definitions are required. If we consider sub-sets of real numbers, where the partial order is obviously valid, a set S is said to be dense if