Five Kinds of Contradictory Relations and Opposite Relations in Inconsistent Knowledge
FSKD '07 Proceedings of the Fourth International Conference on Fuzzy Systems and Knowledge Discovery - Volume 04
Differentiation and Processing of Contradictory Knowledge and Opposite Knowledge
FSKD '07 Proceedings of the Fourth International Conference on Fuzzy Systems and Knowledge Discovery - Volume 04
A Logic Description on Different Negation Relation in Knowledge
ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Artificial Intelligence
Fuzzy Sets and Systems
ICCCI'10 Proceedings of the Second international conference on Computational collective intelligence: technologies and applications - Volume Part II
Fuzzy set with three kinds of negations and its applications in fuzzy decision making
AICI'11 Proceedings of the Third international conference on Artificial intelligence and computational intelligence - Volume Part I
Negation, opposition, and possibility in logical concept analysis
ICFCA'06 Proceedings of the 4th international conference on Formal Concept Analysis
| Hi-index | 0.00 |
Negative information plays an important role in fuzzy knowledge representation and reasoning. This paper distinguish between contradictory negative relation and opposite negative relation for the fuzzy information, a characteristic of fuzzy information is discovered that if a pair of opposite concepts are fuzzy concepts, then there must exists a "medium" fuzzy concept between them; conversely, if there is a medium fuzzy concept between the two opposite concepts, then opposite concepts must be fuzzy concepts. We thus consider that negation of fuzzy information include contradictory negation, opposite negation and medium negation. In order to provide a logical basis for three kinds of negation in fuzzy information, we propose a fuzzy propositional logic with contradictory negation, opposite negation and medium negation (FLcom), discussed some interesting properties of FLcom, presented a semantic interpretation of FLcom, and proved the reliability theorem.