Double Fuzzy Implications-Based Restriction Inference Algorithm

The main condition of the differently implicational inference algorithm is reconsidered from a contrary direction, which motivates a new fuzzy inference strategy, called the double fuzzy implications-based restriction inference algorithm. New restriction inference principle is proposed, which improves the principle of the full implication restriction inference algorithm. Furthermore, focusing on the new algorithm, we analyze the basic property of its solution, and then obtain its optimal solutions aiming at the problems of fuzzy modus ponens (FMP) as well as fuzzy modus tollens (FMT). Lastly, comparing with the full implication restriction inference algorithm, the new algorithm can make the inference closer, and generate more, better specific inference algorithms.