Evaluation as a General Approach to Problem Driven Mathematical Modeling

Abstract

Many modern applications need evaluation of statements, the truth values “true” and “false” alone may not suffice, a statement can be neither true nor false, it may be true (or false) “in a certain sense.” They also need modeling of linguistic expressions and of fuzzy situations. “Binary thinking” does not suffice in many cases. Moreover, the choice of methods might better be problem driven, depending, for example, if we better use a pessimistic or an optimistic reasoning. Here is a brief introduction of how we can choose tools that are appropriate for mathematically modeling this kind of problems.