Abstract
This paper deals with scalarization and stability aspects for a unified set optimization problem. We provide characterization for a unified preference relation and the corresponding unified minimal solution in terms of a generalized oriented distance function of the sup-inf type. We establish continuity of a function associated with the generalized oriented distance function and provide an existence result for the unified minimal solution. We establish Painlevé–Kuratowski convergence of minimal solutions of a family of scalar problems to the minimal solutions of the unified set optimization problem.
Funder
council of scientific and industrial research,india
matrics scheme of department of science and technology
Subject
Management Science and Operations Research,Computer Science Applications,Theoretical Computer Science
Cited by
3 articles.
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