Abstract
In a process of decision making among multi-attribute alternatives, it is often very effective to screen the evidently inferior candidates on the basis of attribute-wise preferences. The present paper, first, suggests the methods to construct five types of noninferior relations which are essentially fuzzy. Then, corresponding to the conditions of attribute-wise preferences the properties of these fuzzy noninferior relations are investigated from the viewpoints of rational decision procedure. To be concrete, comparability, lower boundedness by disjunctively aggregated preferences, positive associativity to attribute-wise preferences, non-intensification by adding a new attribute with unpreferability, nonimpairment by adding a new attribute with preferability and transitivity of their negative inverse relations are discussed.
