Title
Generalized interval vector spaces and interval optimization
Date Issued
01 August 2015
Access level
metadata only access
Resource Type
journal article
Author(s)
Universidad de Tarapacá
Publisher(s)
Elsevier Inc.
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.
Start page
74
End page
85
Volume
311
Language
English
OCDE Knowledge area
Matemáticas
Subjects
Scopus EID
2-s2.0-84927716418
Source
Information Sciences
ISSN of the container
00200255
Sponsor(s)
The fourth author greatly acknowledges the financial support of both Sao Paulo State Foundation (FAPESP) Grant # 2013/07375-0 – through the Center for Mathematical Sciences Applied to Industry – CeMEAI/CEPID , and the Brazilian National Council for Scientific and Technological (CNPq) Grant Nos. 479109/2013-3 , and 309335/2012-4 .
We thank the anonymous reviewers for their helpful comments and feedbacks that helped to improve this paper. The first author greatly acknowledges the financial support of CAPES grant 0229-13 .
Sources of information:
Directorio de Producción Científica
Scopus