Response Performance of Fuzzy Systems Derived from the Symmetric Quintuple Implicational Method

Based on the symmetric quintuple implicational (SQI) method proposed by us, in this study, we propose a new fuzzy system based on the SQI method (SQI fuzzy system for short) and conduct strict theoretical and practical research on its response performance. To begin with, in order to address the limitations of traditional fuzzy reasoning methods, we innovatively introduce the SQI method into the fuzzy system. This advancement optimizes the similarity calculation between the rule base and the input, and generalizes the fuzzy implication operator at the same time. In addition, the SQI fuzzy system is systematically constructed. For multi-rule scenarios, we formalize its implementation framework by adopting a singleton fuzzifier and a centroid defuzzifier to ensure compatibility with the actual operating environment. Finally, the response performance of the system under the multi-rule configuration of R-implication operators and other classical operators is analyzed.