Semi-overlap functions and novel fuzzy reasoning algorithms with applications

In order to get a more general result related on fuzzy implications that induced by aggregation functions, we relax the definition of overlap precisely, removing its right-continuous, and introduce new kind function, which called semi-overlap function. Subsequently, explore some their algebraic properties corresponding residual implications. Moreover, serval scholars have provided kinds methods for modus ponens (FMP, short) problems, such as Zadeh’s compositional rule inference (CRI, short), Wang’s triple I method (TIM, quintuple implication principle (QIP, short). Compared with CRI TIM, QIP has advantages in solving FMP problems. Based above theory foundation functions implications, further consider Finally, propose classification algorithm based QIP, SO5I-FRC algorithm. Through comparative tests, average accuracy is higher than FARC–HD The experimental results indicate certain wide range applications