Driankov, D. (1986). Inference with a Single Fuzzy Conditional Proposition. Technical Report LiTH-IDA-R-86-15, Department of Computer and Information Science, Linköping University, Sweden. Also in Proc of IJCAI87 and in International Journal for Fuzzy Sets and Systems. (bibtex),
Abstract: In the works of L. Zadeh, J. Baldwin, E. Hisdal, R. Yager, M. Mizumoto et.al. different solutions to this problem were proposed. Though different, they all share one common feature. It is that they ignore the fact that a single fuzzy conditional proposition represents only one specific manifestaion of the causal influence exerted by X on Y which is being described by binding the fuzzy set B to the fuzzy set A. Thus, the general pattern of the causal relationship between the two linguistic variables is forgotten about. As a result the inference made when the original value of X is replaced by a new one might, in som cases, contradict the general pattern of the causal relationship.The present paper makes an attempt to specify these types of inference with a single fuzzy conditional proposition which do not depend on the general pattern of the causal relationship between X and Y. It also discusses some associated problems.
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