Banzhaf–Choquet-copula-based aggregation operators for managing q-rung orthopair fuzzy information

Information fusion of fuzzy numbers has played a vital role in the decision support systems under environment q-rung orthopair set (q-ROFS), which is an effective extension intuitionistic and set. The goals present work are to build family new aggregation operators (AOs) q-ROF apply them MADM problems. First, extended Archimedean copula (EAC) co-copula (EACC) proposed handle information; consequently, operational law q-ROFNs defined based on EAC EACC. In order comprehensively consider relationship between attributes, Banzhaf–Choquet-copula AOs ( $$BCCA^q$$ ) geometric $$BCCG^q$$ introduced basis operation (q-ROFNs); some special cases / investigated when generators take different functions satisfy condition copulas. addition, determine measure (FM) attribute sets objectively, improved maximum deviation method Banzhaf function model built. Finally, corresponding decision-making approaches constructed models. Proposed can effectively address problems (DMPs), weights attributes incompletely unknown (completely unknown), correlation also exists among all sets.