Decision-making models based on satisfaction degree with incomplete hesitant fuzzy preference relation

To address the situation where incomplete hesitant fuzzy preference relation (IHFPR) is necessary, this paper develops decision-making models taking into account decision makers’ satisfaction degree. First, consistency measures, respectively, from perspectives of additive and multiplicative consistent IHFPR are defined, which based on relationships IHPFRs their corresponding priority weight vector. Second, two developed, in view proposed measures. The main characteristic constructed they objective functions developed by maximizing parameter Third, a square programming model to obtain weights utilizing optimal vectors information, solution obtained solving partial derivatives Lagrange function. Finally, procedure for multi-criteria (MCDM) problems with IHFPRs given, an illustrative example conjunction comparative analysis used demonstrate feasible efficiency practical MCDM problems.