Fuzzy Automata and Grammars: Manipulation of Uncertain Knowledge

The concepts of fuzzy automata and grammars allow the modelization of new potentialities in interconnected biomolecular systems. A Fuzzy Automata is defined by the quintuplet A = (U, Y, X, f g,) whereas fuzzy grammar can be defined by an alphabet, an axiom, and a group of fuzzy rules, and can be expressed through linear equations. These concepts can be applied, for example, to the indexation of scientific documents. A hypothesis of associative auto-organization has been established suggesting that emergence represents the actualization of potentialities. After its decomposition into fragments, the mathematical modelization of the emergence of new properties is made possible. This can be demonstrated subsequently through fuzzy systems. The procedures of modelization and simulation are closely associated in an inference system : the expert system.