Generalized interval vector spaces and interval optimization

T. M. Costa; Y. Chalco-Cano; W. A. Lodwick; G. N. Silva

doi:10.1016/j.ins.2015.03.033

Generalized interval vector spaces and interval optimization

T. M. Costa
, Y. Chalco-Cano
, W. A. Lodwick
, G. N. Silva

Departamento de Matemática

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

42 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	74-85
Número de páginas	12
Publicación	Information Sciences
Volumen	311
DOI	https://doi.org/10.1016/j.ins.2015.03.033
Estado	Publicada - 1 ago. 2015

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title = "Generalized interval vector spaces and interval optimization",

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.",

keywords = "Interval generalized set, Interval generalized vector spaces, Interval optimization",

author = "Costa, \{T. M.\} and Y. Chalco-Cano and Lodwick, \{W. A.\} and Silva, \{G. N.\}",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2015",

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AU - Costa, T. M.

AU - Chalco-Cano, Y.

AU - Lodwick, W. A.

AU - Silva, G. N.

PY - 2015/8/1

Y1 - 2015/8/1

N2 - 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.

AB - 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.

KW - Interval generalized set

KW - Interval generalized vector spaces

KW - Interval optimization

UR - https://www.scopus.com/pages/publications/84927716418

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JF - Information Sciences

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Generalized interval vector spaces and interval optimization

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