TOPSIS Method Based on Hamacher Choquet-Integral Aggregation Operators for Atanassov-Intuitionistic Fuzzy Sets and Their Applications in Decision-Making

The collection of Hamacher t-norms was created by in 1970, which played a critical and significant role computing aggregation operators. All operators that are derived based on norms very powerful beneficial because the parameter 0≤ζ≤+∞. Choquet first posited theory integral (CI) 1953, is used for evaluating awkward unreliable information to address real-life problems. In this manuscript, we analyze several CI, operators, t-norm t-conorm, Atanassov intuitionistic fuzzy (A-IF) information. These called A-IF CI averaging (A-IFHCIA), ordered (A-IFHCIOA), geometric (A-IFHCIG), (A-IFHCIOG) operators; herein, identify their most valuable results according main properties. Working continuously, developed multi-attribute decision-making (MADM) procedure information, with help TOPSIS technique order performance similarity ideal solution, derive enhance worth value present Finally, comparing pioneering some existing illustrate examples problems related enterprises, wherein owner company appointed four senior board members enterprise decide what best Asian invest money, show supremacy superiority invented approaches.