There is no clear winner to date. The vendors within the industry predict that migration from tools to applications will continue. In particular, the trend is to move toward hybrid systems. These systems will encompass other types of processes, such as fuzzy logic, expert systems, and kinetic algorithms. The greatest interest is on merging fuzzy logic with neural networks.
Fuzzy logic incorporates the inexactness of life into mathematics.
In life most pieces of data do not exactly fit into certain categories. For instance, a person is not just short or tall. He can be kinda short, pretty tall, a little above average, or very tall. Fuzzy logic takes these real-world variations into account. In potential application of neural networks, in systems which solve real problems, this fuzziness is a large part of the problem.