To the formation of rank scale of criterions optimism for selection of solutions in the “game with nature”

The analysis of cross-correlation degree of a number of criteria for the selection of solutions under statistical indefiniteness and on this basis the relationship of non-strict order has been established. It is allowed to offer ordinal scale opening the possibility to vary the pessimism - optimism ratio in solving the “game with nature” tasks. Such scale creation became possible due to revealing of significant risk criterion, which occupies an intermediate position between Laplace and maximax criteria.