Generalization of domination structures and nondominated solutions in multicriteria decision making
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The concepts of domination structures and nondominated solutions are important in tackling multicriteria decision problems. We relax Yu's requirement that the domination structure at each point of the criteria space be a convex cone (Ref. 1) and give results concerning the set of nondominated solutions for the case where the domination structure at each point is a convex set. A practical necessity for such a generalization is discussed. We also present conditions under which a locally nondominated solution is also a globally nondominated solution.
Key WordsDomination structures nondominated solutions multicriteria decision making domination factors polyhedral domination sets
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