Table 3 Rational of Dombi AOs.

Smooth transition between inputs

Dombi aggregation operators’ parameterized formulation gives them a great deal of flexibility. This makes them perfect for situations when a seamless transition between severe and moderate values is required since it enables them to model varying degrees of compromise between input values

Parameter adjustability

The aggregation behavior is controlled by a tunable parameter in the Dombi operators, which can range from soft combinational procedures to rigid logical operations. This flexibility guarantees that the aggregation can be tailored to match particular circumstances of decision-making

Handling vagueness in fuzzy environments

Data in fuzzy systems is frequently ambiguous or imprecise. By combining inputs in a way that preserves their underlying fuzzy semantics, Dombi operators are made to deal with this kind of vagueness and produce meaningful aggregated outputs

Improved decision-making accuracy

By properly adjusting the Dombi parameters, the operator makes sure that the combined outcomes more closely match the demands of the actual situation, improving the dependability of decision-making in the scenario given

Mathematical flexibility

A large variety of aggregation behaviors can be represented by the parameter-dependent Dombi operator. By changing its settings, it may seamlessly switch between t-norm and t-conorm