Associated Probabilities in Interactive MADM under Discrimination q-Rung Picture Linguistic Environment

In some multi-attribute decision-making (MADM) models studying attributes’ interactive phenomena is very important for the minimizing decision risks. Usually, Choquet integral type aggregations are considered in such problems. However, do not consider all interactions; therefore, many cases, when these interactions revealed less degree, they perceive and their utility MADM problems useful. For of this problem, we create integral-based new aggregation operators’ family which considers pair between attributes. The problem under discrimination q-rung picture linguistic orthopair fuzzy environments considered. Construction a 2-order additive measure (TOAFM) involves interaction indices importance values attributes model. Based on identification associated probabilities measure, Shapley entropy maximum principle used. weighted averaging (APs-q-RPLWA) geometric (APs-q-RPLWG) operators constructed with respect to TOAFM. an uncertainty pole experts’ evaluations regarding possible alternatives, second as arguments by presented. Discrimination specify attribute’s dominant, neutral non-dominant impacts selection concrete alternative from alternatives. Constructed relatedness any consonant attribute structure. Main properties rightness extensions showed: APs-q-RPLWA APs-q-RPLWG match lower upper capacities order two. conjugation among also Connections compositions dual triangular norms (Tp,Spq) (Tmin,Smax) constructed. used evaluation reliability index (SRI) candidate service centers facility location small degree observed example MADM, difference optimal solutions extensions. difference, however, due need use