A method of lattice order decision making on prospect spaces

A lattice order decision making method about alternative's ranking is proposed, when the preference structure of prospect spaces without connected axiom according to some preference relation. It is proved that the prospect spaces are a poset, and with lattice order characteristic; the value function and distance function have arrived, the preference distance of decision outcomes have been worked out by the value function and distance function. Feasibility and effectiveness of the approach proposed in this paper are illustrated with a numerical example.