Reductive property of new fuzzy reasoning method based on distance
  measure
  Firstly in this paper we propose a new criterion function for evaluation of
the reductive property about the fuzzy reasoning result for fuzzy modus ponens
and fuzzy modus tollens. Secondly unlike fuzzy reasoning methods based on the
similarity measure, we propose a new fuzzy reasoning method based on distance
measure. Thirdly the reductive property for 5 fuzzy reasoning methods are
checked with respect to fuzzy modus ponens and fuzzy modus tollens. Through the
experiment, we show that proposed method is better than the previous methods in
accordance with human thinking.
