2008

Conférence

In : 38th International Symposium on Multiple Valued Logic (ismvl 2008). IEEE, 2008. p. 150-155.

We focus in this paper on approximate reasoning in a symbolic framework, and more precisely in multi-valued logic. Approximate reasoning is based on a generalization of Modus Ponens, known as Generalized Modus Ponens (GMP). Its principle is that from an observation different but approximately equal to the rule premise, we can deduce a fact approximately equal to the rule conclusion. We propose a generalization of the approximate reasoning axiomatic introduced by Fukami, and we show the weakness of GMP approaches in the multi-valued context towards this axiomatic. Moreover, we propose two rules of symbolic GMP that check the axiomatic. One is based on the implication operator and the second on linguistic modifiers.

@inproceedings{kacem2008generalized,
  title={Generalized modus ponens based on linguistic modifiers in a symbolic multi-valued framework},
  author={Kacem, Saoussen Bel Hadj and Borgi, Amel and Ghedira, Khaled},
  booktitle={38th International Symposium on Multiple Valued Logic (ismvl 2008)},
  pages={150--155},
  year={2008},
  organization={IEEE}
}