| Full text | |
| Author(s): |
Villanueva, Fabiola R.
;
de Oliveira, Valeriano A.
;
Costa, Tiago M.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | FUZZY SETS AND SYSTEMS; v. 454, p. 18-pg., 2023-02-28. |
| Abstract | |
This work addresses constrained optimization problems in which the objective function is interval-valued while the inequality constraints functions are real-valued. Both necessary and sufficient optimality conditions are derived. They are given through the gH-gradient and the gH-directional derivative of the interval objective function. The necessary ones are of KKT-type. The sufficient conditions are of generalized convexity type. The developed theory is illustrated by means of some numerical examples. (c) 2022 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry |
| Grantee: | Francisco Louzada Neto |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |