Partial Valuations and Fuzzy Reasoning
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This paper introduces the theory of partial valuations and two aspects of its applications. First, the semantic classification of propostions into a-tautologies is obtuse with respect to the prefix a whenever the Gödeps implication operator is adopted, the partial valuation method can be used to refine this classification. Next, the partial valuation method can be used to bring the theory of fuzzy reasoning into logic framework after improving the CRI method to be the Triple I method.
KeywordsPartial valuation Σ-(α-tautology) fuzzy modus ponens CRI method Triple I method
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