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Characterizations of set relations with respect to variable domination structures via oriented distance function

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ABSTRACT In this paper, we characterize several known set relations with respect to variable domination structures by defining scalarization functions in terms of the oriented distance function. The characterization of… Click to show full abstract

ABSTRACT In this paper, we characterize several known set relations with respect to variable domination structures by defining scalarization functions in terms of the oriented distance function. The characterization of minimal elements of a family of sets and the properties of sets of minimal elements are discussed by means of scalarization functionals. An application of variable domination structures to uncertain vector optimization is also given.

Keywords: domination structures; variable domination; respect variable; set relations; relations respect

Journal Title: Optimization
Year Published: 2018

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