The generalized sigmoid function and its connection with logical operators

In this study, we present the operator-dependent sigmoid function, which is derived from a universal unary operator called kappa function. Here, describe how generalized function related to representable uninorms (i.e., Dombi's aggregative operator). Namely, show that inverse of an additive generator operator. We provide necessary and sufficient conditions for form transforms into conjunctive or disjunctive logical This transformation also based on operators, De Morgan system with negation, can be point out that, under certain conditions, set functions closed negation modifier operators. Lastly, demonstrate important connection between weighted Based connection, new interpretation feed-forward neural networks. perceptron-based network modeled using