Knowledge representation and approximate reasoning with Type II fuzzy sets

摘要

Type II fuzzy sets are considered with the perspective of fuzzy normal forms for fuzzy knowledge representation and inference. In this perspective all of the classical laws are reinterpreted to hold as "a matter of degree". A particular version of Type II fuzzy sets are the interval-valued fuzzy sets. Furthermore, when knowledge is represented with the interval-valued Type II fuzzy sets, fuzzy reasoning generates consequences that are interval-valued Type II fuzzy sets. A new non-specificity measure helps us assess the uncertainty content associated with interval valued Type II fuzzy sets.