Consistency of distributed preference relations

Distributed preference relation (DPR) is a way to simultaneously characterize the preferred, nonpreferred, indifferent, and global ignorance degrees of one alternative over another. To make DPRs applicable in decision-making, consistency addressed this paper. Under assumption that any two on set alternatives are independent each other, four rules regarding relationship between designed develop transitivity three DPRs. By considering eight cases grades from DPRs, an abstract function defined combine grades. With function, developed. Three consistent theoretically proven be transitive. A multiple criteria group decision-making (MCGDM) process developed based proposed analyze problems, which neighboring those specific pair nonadjacent required provided. The problem selecting associate head ultrasonic department tertiary hospital analyzed using MCGDM demonstrate real application