Possibilistic Residuated Implication Logics with Applications

نویسنده

  • Churn-Jung Liau
چکیده

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.

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عنوان ژورنال:
  • International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems

دوره 6  شماره 

صفحات  -

تاریخ انتشار 1998