Optimality conditions for interval valued optimization problems
| dc.contributor.author | Villanueva, Fabiola R. | |
| dc.contributor.author | de Oliveira, Valeriano A. [UNESP] | |
| dc.contributor.author | Costa, Tiago M. | |
| dc.contributor.institution | Carrera de Matemática | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.contributor.institution | Universidad de Tarapacá | |
| dc.date.accessioned | 2023-03-01T20:57:25Z | |
| dc.date.available | 2023-03-01T20:57:25Z | |
| dc.date.issued | 2022-01-01 | |
| dc.description.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. | en |
| dc.description.affiliation | Universidad Mayor de San Andrés Carrera de Matemática | |
| dc.description.affiliation | Universidade Estadual Paulista (Unesp) Instituto de Biociências Letras e Ciências Exatas Departamento de Matemática CEP, Rua Cristóvão Colombo, N. 2265, Jardim Nazareth, São José do Rio Preto | |
| dc.description.affiliation | Departamento de Matemática Universidad de Tarapacá, Casilla 7D | |
| dc.description.affiliationUnesp | Universidade Estadual Paulista (Unesp) Instituto de Biociências Letras e Ciências Exatas Departamento de Matemática CEP, Rua Cristóvão Colombo, N. 2265, Jardim Nazareth, São José do Rio Preto | |
| dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description.sponsorshipId | FAPESP: 2013/07375-0 | |
| dc.description.sponsorshipId | CNPq: 305786/2018-0 | |
| dc.identifier | http://dx.doi.org/10.1016/j.fss.2022.06.020 | |
| dc.identifier.citation | Fuzzy Sets and Systems. | |
| dc.identifier.doi | 10.1016/j.fss.2022.06.020 | |
| dc.identifier.issn | 0165-0114 | |
| dc.identifier.scopus | 2-s2.0-85134180404 | |
| dc.identifier.uri | http://hdl.handle.net/11449/241338 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Fuzzy Sets and Systems | |
| dc.source | Scopus | |
| dc.subject | Generalized convexity | |
| dc.subject | Interval optimization | |
| dc.subject | Karush-Kuhn-Tucker-type conditions | |
| dc.subject | Necessary optimality conditions | |
| dc.subject | Sufficient optimality conditions | |
| dc.title | Optimality conditions for interval valued optimization problems | en |
| dc.type | Artigo | |
| unesp.author.orcid | 0000-0003-3613-3801[2] | |
| unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
| unesp.department | Matemática - IBILCE | pt |