Abstract
Probabilistic logic and uncertain logic, as two branches of the multi-valued logic, have been proposed for dealing with knowledge with random factors and with human uncertainty, respectively. As a generalization, this paper proposes an uncertain random logic to deal with complex knowledge containing random factors and human uncertainty simultaneously, and derives a formula to calculate the truth value of an uncertain random proposition. As an inverse problem of the uncertain random logic, this paper also proposes an uncertain random entailment model which calculates the truth value of a function of some uncertain random propositions based on the truth values of some other functions of these uncertain random propositions. As a byproduct, a probabilistic entailment model is also discussed.
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Acknowledgements
This study was funded by the National Natural Science Foundation of China (Grant Nos. 61573210 and 61403360) and the Open Project of Key Laboratory of Big Data Mining and Knowledge Management, Chinese Academy of Sciences.
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Liu, Y., Yao, K. Uncertain random logic and uncertain random entailment. J Ambient Intell Human Comput 8, 695–706 (2017). https://doi.org/10.1007/s12652-017-0465-9
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DOI: https://doi.org/10.1007/s12652-017-0465-9