An alternative theorem for set-valued maps via set relations and its application to robustness of feasible sets
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DOI: 10.1080/02331934.2018.1426582
Abstract: Abstract This paper contains a generalized Gordan-type alternative theorem for set-valued maps which characterizes set relations without any convexity assumptions using certain evaluation functions. As a direct consequence and as a good example, we discuss… read more here.
Keywords: theorem set; valued maps; alternative theorem; set valued ... See more keywords
Characterizations of set relations with respect to variable domination structures via oriented distance function
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DOI: 10.1080/02331934.2018.1493108
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… read more here.
Keywords: domination structures; variable domination; respect variable; set relations ... See more keywords