Generalized interval vector spaces and interval optimization

Autor(es)

Costa, T. M. ^[1] ; Chalco-Cano, Y. ^[2] ; Lodwick, W. A. ^[3] ; Silva, G. N. ^[1]

Afiliação do(s) autor(es)

^[1] UNESP Univ Estadual Paulista, Dept Appl Math, Sao Jose Do Rio Preto - Brazil

^[2] Univ Tarapa, Inst Alta Invest, Arica - Chile

^[3] Univ Colorado, Dept Math Stat Sci, Denver, CO 80202 - USA

• Tipo de documento: Artigo Científico
• Fonte: INFORMATION SCIENCES; v. 311, p. 74-85, AUG 1 2015.
• Citações Web of Science: 7

Resumo

This paper presents a method for endowing the generalized interval space with some different structures, such as vector spaces, order relations and an algebraic calculus. With these concepts we formulate interval optimization problems and relate them to classic multi-objective optimization problems. We also present a version of the Von Neumann's Mini-max Theorem in the interval context. (c) 2015 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: Francisco Louzada Neto
• Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs