### Mission

The mission of the Center for Mathematics of Uncertainty is to support the paradigm shift in the sciences involving uncertainty and to support colleagues in third world countries.

The Center has supported visiting professors from the People's Republic of China, India, Saudi Arabia, Korea and Japan. Members of the Center do basic research in fuzzy abstract algebra, fuzzy graph theory, fuzzy integration theory and integral equations, and fuzzy automata theory.

In fuzzy abstract algebra, it has demonstrated that the theory of primary representations for fuzzy ideals can be applied to the solution of fuzzy intersection equations via a corresponding theory of algebraic varieties.

The members of the Center have also developed a Galois theory of fuzzy subgroups and fuzzy subfields. Creation of a Galois theory of correspondence like this is frequently useful for classification of fields and in solving equations. Significant work is being done on the structural results for fuzzy graphs and fuzzy automata, both of which have applications in many disciplines.