Title: Possibilistic Residuated Implication Logics with Applications
Abstract: In this paper, we will develop a class of logics for reasoning about qualitative and quantitative uncertainty. The semantics of the logics is uniformly based on possibility theory. Each logic in the class is parameterized by a t-norm operation on [0,1], and we express the degree of implication between the possibilities of two formulas explicitly by using residuated implication with respect to the t-norm. The logics are then shown to be applicable to possibilistic reasoning, approximate reasoning, and nonmonotonic reasoning.
Publication Year: 1998
Publication Date: 1998-08-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 6
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