An Analytic Hierarchy Process Based Method to Process Mathematical Expressions

Mathematical expressions exist in all kinds of documents. The automatic location , recognition, analysis and understanding of mathematical expressions are important. Recognition of mathematical expressions has been an attractive problem for the pattern recognition community. When we meet the mathematical expressions we can’t recognize them like the way of ordinary text recognitions. We are in urgent need of a new method to process the mathematical expressions. We should firstly recognize all the symbols which constitute the expressions and define the composite structures and constrains and relationships of all the symbols. And we also should distinguish the levels of hierarchy of every symbol and the corresponding matrices and select the feature items and set the weight numbers. Analytic hierarchy process is caught to build the expression model. First, the hierarchy model is set up. Second, pairwise comparison matrix is set up. Then, a series of computer process will be going on including computing the weight vector and consistency checking and computing combination weight vector and doing combination consistency checking and constructing the judgment matrix and computing weight vectors. Experience has proved that this is a proper method to process mathematics expressions.