Results 21 to 30 of about 152,682 (293)

Scalar multiplier rules in set-valued optimization [PDF]

Computers & Mathematics with Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elvira Hernández, Luis Rodríguez-Marín, Miguel Sama   +2 more
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On approximate solutions in set-valued optimization problems [PDF]

Journal of Computational and Applied Mathematics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
María Alonso-Durán, Luis Rodríguez-Marín   +1 more
openaire   +2 more sources

Set-valued optimization problems via second-order contingent epiderivative [PDF]

Yugoslav Journal of Operations Research, 2021
In this paper, we establish second-order KKT conditions of a set-valued optimization problem and study second-order Mond-Weir, Wolfe, and mixed types duals with the help of second-order contingent epiderivative and second-order generalized cone convexity
Das Koushik, Nahak Chandal
doaj   +1 more source

Optimality Conditions and Dualities for Robust Efficient Solutions of Uncertain Set-Valued Optimization with Set-Order Relations

Axioms, 2022
In this paper, we introduce a second-order strong subdifferential of set-valued maps, and discuss some properties, such as convexity, sum rule and so on.
Yuwen Zhai, Qilin Wang, Tian Tang
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Quantitative Stability of Optimization Problems with Stochastic Constraints

Mathematics, 2023
In this paper, we consider optimization problems with stochastic constraints. We derive quantitative stability results for the optimal value function, the optimal solution set and the feasible solution set of optimization models in which the underlying ...
Wei Ouyang, Kui Mei
doaj   +1 more source

Multi-material topology optimization based on symmetric level set function using the material definition with perfect symmetric property

Nihon Kikai Gakkai ronbunshu, 2021
This paper provides a vector-valued level set-based topology optimization method for multiple materials. The proposed method is characterized by a perfectly symmetric representation of multi-material by a vector valued level set function, which lowers ...
Masaki NODA, Yuki NOGUCHI, Takayuki YAMADA   +2 more
doaj   +1 more source

Relations Among Minimal Elements of a Family of Sets with Respect to Various Set Order Relations

Cumhuriyet Science Journal, 2023
In this article, some set order relations given for set-optimization criterion which is one of the solution concept of set-valued optimization problems are considered.
İlknur Atasever Güvenç
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Optimality conditions in set-valued optimization problems with respect to a partial order relation by using subdifferentials [PDF]

, 2021
In this study, set-valued optimization problems are considered with respect to -order relation, which is a partial order relation on the family of nonempty and bounded sets. Four subdifferentials are defined for set-valued optimization maps.
Soyertem, Mustafa, Karaman, Emrah, Guvenc, Ilknur Atasever   +2 more
core   +1 more source

Truss Design Optimization using Neutrosophic Optimization Technique [PDF]

Neutrosophic Sets and Systems, 2016
In this paper, we develop a neutrosophic optimization (NSO) approach for optimizing the design of plane truss structure with single objective subject to a specified set of constraints.
Mridula Sarkar, Samir Dey, Tapan Kumar Roy   +2 more
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Set optimization using improvement sets [PDF]

Yugoslav Journal of Operations Research, 2017
In this paper we introduce a notion of minimal solutions for set-valued optimization problem in terms of improvement sets, by unifying a solution notion, introduced by Kuroiwa [15] for set-valued problems, and a notion of optimal solutions in ...
Dhingra M., Lalitha C.S.
doaj   +1 more source