Abstract
This chapter presents the fuzzy graph theory and describes its uses. Fuzzy graph theory is a mathematical model that is widely used to describe the combination of crisp and fuzzy systems. A crisp system is a fundamental system in the sense that it is used to make a decision. Fuzziness is a description or outcome of the real world, rather than a criterion used in making a decision. The fuzzy degree of a measurement is used to reduce a search space so that the correct answer may be reached more efficiently. In fuzzy graphs, the data points are not discrete, but constructed. To determine whether two fuzzy graphs belong to the same class, both the subgraph pattern recognition and the numeric pattern recognition are applied.
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