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Article Dans Une Revue Information Sciences Année : 1992

Gradual inference rules in approximate reasoning

Résumé

Gradual inference rules of the form “The more X is F, the more Y is G” (or of similar forms with “the less” instead of “the more”), which express a progressive change of the degree to which the entity Y satisfies the gradual property G when the degree to which the entity X satisfies the gradual property F is modified, are often encountered in commonsense reasoning. A representation of such rules by means of fuzzy sets is proposed and discussed. This representation turns out to be based on a special implication function already considered in multiple-valued logic. Patterns of reasoning involving gradual inference rules are formalized. Their links with interpolation mechanisms are pointed out.

Dates et versions

hal-04059292 , version 1 (05-04-2023)

Identifiants

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Didier Dubois, Henri Prade. Gradual inference rules in approximate reasoning. Information Sciences, 1992, 61 (1-2), pp.103-122. ⟨10.1016/0020-0255(92)90035-7⟩. ⟨hal-04059292⟩
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