Nonlinear scalarization in set optimization based on the concept of null set.

Autor: Moar, Anveksha, Sharma, Pradeep Kumar, Lalitha, C. S.
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Zdroj: Journal of Global Optimization; Aug2024, Vol. 89 Issue 4, p1099-1119, 21p
Abstrakt: The aim of this paper is to introduce a nonlinear scalarization function in set optimization based on the concept of null set which was introduced by Wu (J Math Anal Appl 472(2):1741–1761, 2019). We introduce a notion of pseudo algebraic interior of a set and define a weak set order relation using the concept of null set. We investigate several properties of this nonlinear scalarization function. Further, we characterize the set order relations and investigate optimality conditions for solution sets in set optimization based on the concept of null set. Finally, a numerical example is provided to compute a weak minimal solution using this nonlinear scalarization function. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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