Properties of fuzzy knowledge base representation in the form of metagraph

Abstract

The paper describes Mamdani fuzzy knowledge base representation in the form of a metagraph. The fuzzy knowledge base properties which have an influence on confidence of fuzzy inference are analyzed. The definitions of non-redundant, linguistic non-contradicted, without circularity and linguistic complete Mamdani fuzzy knowledge base are given. The metagraph structure requirements corresponding to non-redundant, linguistic non-contradicted and linguistic complete Mamdani fuzzy knowledge base are defined. Mamdani fuzzy knowledge base properties static verification based on metagraph structure analysis is proposed.