Engineering Commons^™

Group-Theoretic Approach As A General Framework For Sensors, Neural Networks, Fuzzy Control, And Genetic Boolean Networks, Hung T. Nguyen, Vladik Kreinovich, Chitta Baral, Valery D. Mazin

Departmental Technical Reports (CS)

When describing a system of interacting genes, a useful approximation is provided by a Boolean network model, in which each gene is either switched on or off - i.e., its state is described by a Boolean variable.

Recent papers by I. Shmulevich et al. show that although in principle, arbitrarily complex Boolean functions are possible, in reality, the corresponding Boolean networks can be well described by Boolean functions from one of the so-called Post classes - classes that are closed under composition. These classes were originally described by E. Post.

It is known that the Boolean model is only an …