Some Fuzzy Inference Processes in Picture Fuzzy Systems

Dealing with uncertain and linguistic information has been always a big problem in the areas of computational intelligence and artificial intelligence. Fuzzy inference mechanism is one of the common approaches to handling uncertain and linguistic information. The conventional fuzzy inference rule is expressed in the form of "if-then" rule: "IF X is A THEN Y is B", where A and B represent fuzzy sets in universes U, V. Since 2013, Cuong and Kreinovich [7] proposed Picture Fuzzy Sets (PFS), the interest in FPS continues to grow and the research area continues to expand, especially picture fuzzy logic and picture fuzzy inference. PFS is a direct expansion of FS, it enhances the flexibility and efficiency of FS. This paper has presented some new classes of operators in the implication and generalize the Inference of Compositional Rule on the Picture Fuzzy Logic (PFL) setting.