Generalizing possibility-distribution-fuzzy-relational-models

A generalized possibility-distribution fuzzy-relational model is proposed, considering semantic ambiguity for membership attribute values and the ambiguity contained in them. Then, an extended relational algebra is shown. In order to eliminate the semantic ambiguity, a membership attribute is attached to each attribute. This clarifies the origin of membership attribute values. What a membership attribute value means depends on the properties of the attribute. In order to eliminate the ambiguity contained in membership attribute values, those values are expressed by possibility distributions. This clarifies what effects an imprecise attribute value has on its membership attribute value. Therefore, there is no semantic ambiguity for the membership attribute values, and no ambiguity in them in the extended relational model