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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Generalized interval vector spaces and interval optimization

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Author(s):
Costa, T. M. [1] ; Chalco-Cano, Y. [2] ; Lodwick, W. A. [3] ; Silva, G. N. [1]
Total Authors: 4
Affiliation:
[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
Total Affiliations: 3
Document type: Journal article
Source: INFORMATION SCIENCES; v. 311, p. 74-85, AUG 1 2015.
Web of Science Citations: 7
Abstract

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)

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