Linguistic reasoning based on generalized modus ponens with linguistic modifiers and hedge moving rules

Approximate reasoning is based on 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. However, the deduced fact is not obtained with an arbitrary way. In this paper, we propose a new rule of GMP in linguistic many-valued logic framework with using hedge moving rules for linguistic reasoning.