Associated probabilities' aggregations in interactive multiattribute decision making for q-rung orthopair fuzzy discrimination environment

This study proposes the maximum (minimum) associated probabilities q-rung orthopair fuzzy weighted averaging (APs-q-ROFWA) and the maximum (minimum) associated probabilities q-rung orthopair fuzzy weighted geometric (APs-q-ROFWG) aggregation operators. An uncertainty is presented by associated probabilities of a fuzzy measure. Decision makers' evaluations as arguments of the aggregation operators are presented by q-rung orthopair fuzzy discrimination values. q-rung orthopair fuzzy discrimination evaluations indicate on the attribute's dominant and nondominant impact on the choice of each alternative in relation to other alternatives. New operators take into account the overall interactions among of attributes in every possible consonant structure of all attributes. Propositions on the correctness of extensions are proved. APs-q-ROFWA and APs-q-ROFWG operators' values coincide with q-rung orthopair fuzzy Choquet integral averaging and geometric operators' values for the lower and upper capacities of order two. The conjugate connections between the constructed operators are shown. Connections between the new operators and the compositions of dual triangular norms (Tp,Spq) and (Tmin,Smax) are constructed. Several variants of new operators are used in the evaluation of candidate sites' selection ranking index in the facility location selection problem.