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Negative knowledge is considered as important as positive knowledge in the theory of knowledge processing, which is investigated by many researchers. In this paper, a novel fuzzy propositional logic calculus system equipped with three kinds of negations, say contradictory, opposite and medium negation, is established, and the soundness theorem of the system is proved.
Inconsistent knowledge processing is an important problem in the study of knowledge, especially in fuzzy knowledge. In this paper, we consider that research of inconsistent knowledge should differentiate between contradictory concept and opposite concept. Based on this cognition, we discovered a sort of character on opposite concepts, which a pair of opposite concepts is fuzzy concepts if and only...
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...
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