A new nonlinear scalarization function and applications. (2nd January 2016)

• Record Type: Journal Article
• Authors: Xu, Y.D.; Li, S.J.
• Is Part Of: Optimization. Volume 65:Number 1(2016)
• Page Start: 207
• Page End: 231
• Publication Date: 2016-01-02
• Subjects: nonlinear scalarization function -- set optimization -- generalized parametric system -- image space analysis -- optimality condition; 49K05 -- 90C29; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2015.1014479
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : In this paper, a new nonlinear scalarization function, which is a generalization of the oriented distance function, is introduced. Some properties of the function are discussed. Then the function is applied to obtain some new optimality conditions and scalar representations for set-valued vector optimization problems with set optimization criteria. In terms of the function and the image space analysis, some new alternative results for generalized parametric systems are derived.