Multiple-rules reasoning based on Triple I method on Atanassov's intuitionistic fuzzy sets.

Triple I method, proposed by Wang, is an important method to solve FMP (fuzzy modus pones) problem on fuzzy reasoning. In this paper, we extend the Triple I method for multiple-rules approximate reasoning on Atanassov's intuitionistic fuzzy sets. Firstly, we adopt the FITA (First Inference Then Aggregation) pattern and the FATI (First Aggregation Then Inference) pattern to solve the multiple-rules IFMP (intuitionistic fuzzy modus pones) model and prove that the solutions of Triple I method for the model based on the two patterns are equivalent. Secondly, we view the multiple-rules IFMP problem as the reasoning problem based on Triple I method, and present a Multiple I method to solve the model. Moreover, we invert the multiple-rules model of IFMP problem into the two multiple-rules models of FMP problem, then propose the disassembled Multiple I method for the multiple-rules model. Finally, we provide the relationship of two solutions of Multiple I method for Multiple-rules IFMP model. [ABSTRACT FROM AUTHOR]