| Theory of Truth Degrees in G\"{o}del 3-Valued Propositional Logic |
| Received:March 28, 2004 |
| Key Words:
truth degree inference rule with truth degree dense.
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| Abstract: |
| Base on the infinite product of evenly distributed probability space, this paper introduces the theory of truth degrees in G\"{o}del 3-valued propositional logic and inference rules with truth degrees are given. Moreover, it is proved that the set of truth degrees of propositions is dense in [0,1], and expressions of truth degrees are obtained. This paves the way for the further study on approximate reasoning. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2006.03.027 |
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