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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 67, 2018 - Issue 7: Set-Valued Optimization and Variational Analysis: Special Issue dedicated to Professor Johannes Jahn on the occasion of his 65th birthday
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Original Articles

An alternative theorem for set-valued maps via set relations and its application to robustness of feasible sets

Yuto OgataGraduate School of Science and Technology, Niigata University, Niigata, Japan.Correspondence[email protected]
ORCID Iconhttp://orcid.org/0000-0001-8985-4296View further author information
ORCID Icon,
Tamaki TanakaGraduate School of Science and Technology, Niigata University, Niigata, Japan.View further author information
,
Yutaka SaitoDepartment of Management Science and Engineering, Akita Prefectural University, Yurihonjo, Japan.View further author information
,
Gue Myung LeeDepartment of Applied Mathematics, Pukyong National University, Busan, Korea.View further author information
&
Jae Hyoung LeeDepartment of Applied Mathematics, Pukyong National University, Busan, Korea.View further author information
Pages 1067-1075 | Received 31 May 2017, Accepted 07 Jan 2018, Published online: 22 Jan 2018

Citations (6)

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Read on this site (3)

B. Jiménez, V. Novo & A. Vílchez. (2020) Six set scalarizations based on the oriented distance: properties and application to set optimization. Optimization 69:3, pages 437-470.
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B. Jiménez, V. Novo & A. Vílchez. (2018) A set scalarization function based on the oriented distance and relations with other set scalarizations. Optimization 67:12, pages 2091-2116.
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Koichiro Ike & Tamaki Tanaka. (2018) Convex-cone-based comparisons of and difference evaluations for fuzzy sets. Optimization 67:7, pages 1051-1066.
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Articles from other publishers (3)

S. Khoshkhabar-amiranloo. (2021) Scalarization of Multiobjective Robust Optimization Problems. Operations Research Forum 2:3.
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B. Jiménez, V. Novo & A. Vílchez. (2019) Characterization of set relations through extensions of the oriented distance. Mathematical Methods of Operations Research 91:1, pages 89-115.
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Hui Yu, Koichiro Ike, Yuto Ogata & Tamaki Tanaka. (2019) A Calculation Approach to Scalarization for Polyhedral Sets by Means of Set Relations. Taiwanese Journal of Mathematics 23:1.
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