On the relationship between fuzzy logic and four-valued relevance logic
<|reference_start|>On the relationship between fuzzy logic and four-valued relevance logic: In fuzzy propositional logic, to a proposition a partial truth in [0,1] is assigned. It is well known that under certain circumstances, fuzzy logic collapses to classical logic. In this paper, we will show that under dual conditions, fuzzy logic collapses to four-valued (relevance) logic, where propositions have truth-value true, false, unknown, or contradiction. As a consequence, fuzzy entailment may be considered as ``in between'' four-valued (relevance) entailment and classical entailment.<|reference_end|>
@article{straccia2000on,
    title={On the relationship between fuzzy logic and four-valued relevance logic},
    author={Umberto Straccia},
    journal={arXiv preprint arXiv:cs/0010037},
    year={2000},
    archivePrefix={arXiv},
    eprint={cs/0010037},
    primaryClass={cs.AI}
}