Differentiation and Processing of Contradictory Knowledge and Opposite Knowledge

How to distinguish and deal with inconsistent knowledge in knowledge processing is an outstanding problem, especially in fuzzy knowledge processing. In this paper, we proposes that knowledge research should differentiate between contradictory concepts and opposite concepts in knowledge, and that discovered a character of opposite concepts, there exists medium concept between the two opposite concepts if and only if opposite concepts are fuzzy concepts. The contradictory relations and opposite relations in distinct concepts and fuzzy concepts were confirmed, some properties of them were analyzed. Furthermore, we study these concepts and relations using the medium predicate logic MF and the infinite-valued model Phi of MF, and get processing conditions on the five kinds of contradictory relations and opposite relations in knowledge.