On the relationship between fuzzy logic and four-valued relevance logic

Umberto Straccia

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On the relationship between fuzzy logic and four-valued relevance logic

Umberto Straccia

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Abstract

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.

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Umberto Straccia. 2000-10-31. On the relationship between fuzzy logic and four-valued relevance logic. https://arxiv.org/abs/cs/0010037

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