Parametric Conditions for a Monotone TSK Fuzzy Inference System to be an <i>n</i>-Ary Aggregation Function

Despite the popularity and practical importance of fuzzy inference system (FIS), use an FIS model as n -ary aggregation function, which is characterized by both monotonicity boundary properties, yet to be established. This because research on ensuring that models satisfy property, i.e., monotone FIS, relatively new, not mention additional requirement satisfying property. The aim this article, therefore, establish parametric conditions for Takagi–Sugeno–Kang (TSK) operate function (hereafter denoted -TSK-FIS) via specifications membership functions rules. An absorption property with rules interpretation outlined, -TSK-FIS a uninorm explained. Exploiting established conditions, framework can constructed from data samples formulated analyzed, along number remarks. Synthetic sets benchmark example education assessment are presented discussed. To best authors’ knowledge, article serves first TSK-FIS function.