Mathematical Concepts

A) Modeling Crisp Features in the Data

• Crisp Concepts: The membership value to a set is either 0 or 1.

B) Modeling the Imprecision, the Uncertainty and the Imprecision in the Data

• Statistical Concepts: The membership value to a set is between 0 and 1 given by the probabilistic function.

• Fuzzy Concepts: The membership value to a set is between 0 and 1 given by the fuzzy function. [Linguistic variables]

• Dempster-Schafer Concepts: The membership value to a set is between 0 and 1 given by the belief function.