Differential Inclusions: Set-Valued Maps and Viability Theory
Differential Inclusions: Set-Valued Maps and Viability Theory
Multicriteria Optimization
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In this paper, we introduce a construction method of total ordering cone on $${\mathbb{R}^n}$$ . It is shown that any total ordering cone on $${\mathbb{R}^n}$$ is isomorphic to the cone $${\mathbb{R}^n_{lex}}$$ . Existence of a total ordering cone that contain given cone with a compact base is shown. By using this cone, a solving method of vector and set valued optimization problems is presented.