New order relations in set optimization

J Jahn, TXD Ha - Journal of Optimization Theory and Applications, 2011 - Springer
relations for sets, which are useful in set opti… set optimization problem (SOP) wrt various
order relations. Firstly, we extend in a unified scheme some basic concepts of vector optimization

[PDF][PDF] Optimization with set relations

A Löhne - 2005 - d-nb.info
… in vector optimization and set optimization with point relations, … in every vector optimization
and set optimization problem. … we investigate optimization problems based on set relations

Set approach for set optimization with variable ordering structures part I: set relations and relationship to vector approach

G Eichfelder, M Pilecka - Journal of Optimization Theory and Applications, 2016 - Springer
… with set relations in set optimization, which have been defined using the constant ordering
cone before. We provide several new set relationsrelations, we define solution notions for set-…

Set optimization and applications-the state of the art

AH Hamel, F Heyde, A Löhne, B Rudloff… - Springer Proc. Math …, 2015 - Springer
… It was devoted solely to optimization problems with set-valued objective functions. Since …
set relations,” new solution concepts for set optimization problems and a new framework for a set

Optimization with set relations: conjugate duality

A Löhne* - Optimization, 2005 - Taylor & Francis
… In this section, the conjugate duality theory for optimization problems based on set relations
is developed. We start with two auxiliary assertions, which will be used in the proof of the …

Characterizations of set order relations and constrained set optimization problems via oriented distance function

J Chen, QH Ansari, JC Yao - Optimization, 2017 - Taylor & Francis
… the set criterion to study the optimality conditions of constrained set-valued optimization
We first present some characterizations of various set order relations using the classical oriented …

Partial order relations on family of sets and scalarizations for set optimization

E Karaman, M Soyertem, İ Atasever Güvenç, D Tozkan… - Positivity, 2018 - Springer
… new order relations on family of sets are introduced by using Minkowski difference. The
relations … It is shown that depending on the corresponding cone, these order relations are partial …

The relationship between multi-objective robustness concepts and set-valued optimization

J Ide, E Köbis, D Kuroiwa, A Schöbel… - Fixed Point Theory and …, 2014 - Springer
… for multi-objective optimization problems and set order relations. We extend some of the …
set relations. Furthermore, we derive new concepts of robustness for multi-objective optimization

Set approach for set optimization with variable ordering structures part II: scalarization approaches

G Eichfelder, M Pilecka - Journal of Optimization Theory and Applications, 2016 - Springer
… with Variable Ordering Structures Part I: Set Relations and Relationship to Vector Approach,
… approach for set relations. Moreover, we introduce some additional set relations which allow …

[PDF][PDF] Improving implicit discourse relation recognition through feature set optimization

J Park, C Cardie - Proceedings of the 13th Annual Meeting of the …, 2012 - aclanthology.org
relations. In particular, we consider all instances with a relation type other than explicit as
implicit relations … The relation sense determines the relation that exists between its text span …