Multicriteria problems: optimality with cone and its extension

In article a multicriteria problem is considered. As a general rule the Pareto optimality was made use as a decision to such topic. Usually, there is an infinite set of that results. The optimality concept is refinement by extension of preference relation in criteria space. In this way the cone optimality is defined. The properties of this solution are investigated. Proposed method is made possible to reduce the set of optimal results or ever though extracted an unique situation as a decision in multicriteria problem. The model example is brought.