LINEAR COMPLEMENTARITY PROBLEMS WITH UNCERTAIN VARIABLES
Under the uncertainty theory, the uncertain linear complementarity problem(ULCP) with uncertain variables is proposed. Firstly, uncertain expected residual minimization model (UER.M) is established. Secondly, we study the boundedness of the level set of the UERM problem. The Stieltjes integral metho...
| Published in: | Journal of Nonlinear and Convex Analysis |
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| Format: | Article |
| Language: | English |
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Yokohama Publications
2024
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| Online Access: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85189951631&partnerID=40&md5=8d6612de2f0929d54dfd139d244376e3 |
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2-s2.0-85189951631 Du H.; Yuan R.; Mai X.; Din N. LINEAR COMPLEMENTARITY PROBLEMS WITH UNCERTAIN VARIABLES 2024 Journal of Nonlinear and Convex Analysis 25 3 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85189951631&partnerID=40&md5=8d6612de2f0929d54dfd139d244376e3 Under the uncertainty theory, the uncertain linear complementarity problem(ULCP) with uncertain variables is proposed. Firstly, uncertain expected residual minimization model (UER.M) is established. Secondly, we study the boundedness of the level set of the UERM problem. The Stieltjes integral method is used to discretize the expectation of uncertain variables, and results show that each minimum accumulation point of the discrete approximation problem is the minimum expected residual solution of the ULCP. Finally, the existence and convergence of solutions for ULCP arc proved. © Copyright 2024. Yokohama Publications 13454773 English Article |
| author |
Du H.; Yuan R.; Mai X.; Din N. |
| spellingShingle |
Du H.; Yuan R.; Mai X.; Din N. LINEAR COMPLEMENTARITY PROBLEMS WITH UNCERTAIN VARIABLES |
| author_facet |
Du H.; Yuan R.; Mai X.; Din N. |
| author_sort |
Du H.; Yuan R.; Mai X.; Din N. |
| title |
LINEAR COMPLEMENTARITY PROBLEMS WITH UNCERTAIN VARIABLES |
| title_short |
LINEAR COMPLEMENTARITY PROBLEMS WITH UNCERTAIN VARIABLES |
| title_full |
LINEAR COMPLEMENTARITY PROBLEMS WITH UNCERTAIN VARIABLES |
| title_fullStr |
LINEAR COMPLEMENTARITY PROBLEMS WITH UNCERTAIN VARIABLES |
| title_full_unstemmed |
LINEAR COMPLEMENTARITY PROBLEMS WITH UNCERTAIN VARIABLES |
| title_sort |
LINEAR COMPLEMENTARITY PROBLEMS WITH UNCERTAIN VARIABLES |
| publishDate |
2024 |
| container_title |
Journal of Nonlinear and Convex Analysis |
| container_volume |
25 |
| container_issue |
3 |
| doi_str_mv |
|
| url |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85189951631&partnerID=40&md5=8d6612de2f0929d54dfd139d244376e3 |
| description |
Under the uncertainty theory, the uncertain linear complementarity problem(ULCP) with uncertain variables is proposed. Firstly, uncertain expected residual minimization model (UER.M) is established. Secondly, we study the boundedness of the level set of the UERM problem. The Stieltjes integral method is used to discretize the expectation of uncertain variables, and results show that each minimum accumulation point of the discrete approximation problem is the minimum expected residual solution of the ULCP. Finally, the existence and convergence of solutions for ULCP arc proved. © Copyright 2024. |
| publisher |
Yokohama Publications |
| issn |
13454773 |
| language |
English |
| format |
Article |
| accesstype |
|
| record_format |
scopus |
| collection |
Scopus |
| _version_ |
1809677885153214464 |