Extend argumentation frameworks based on degree of attack

To capture the quantity and quality properties of attacks in argumentation process, a fuzzy argumentation framework is presented in this paper. Degree of attack is introduced into argumentation, which contributes to formalizing the internal structure of arguments. Then based on probability theory, total attack is proposed to calculate the effect of all attacks. In addition, the extensional semantics for fuzzy argumentation frameworks are explored in the same way as for extended argumentation frameworks. Finally, the application of FAF in investigation is stated.