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

Department of Mathematics

Universidade Estadual Paulista Júlio de Mesquita Filho
University of Colorado Denver

Research output: Contribution to journal › Article › peer-review

43 Scopus citations

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.

Original language	English
Pages (from-to)	74-85
Number of pages	12
Journal	Information Sciences
Volume	311
DOIs	https://doi.org/10.1016/j.ins.2015.03.033
State	Published - 1 Aug 2015

Keywords

Interval generalized set
Interval generalized vector spaces
Interval optimization

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10.1016/j.ins.2015.03.033

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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.",

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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

U2 - 10.1016/j.ins.2015.03.033

DO - 10.1016/j.ins.2015.03.033

M3 - Article

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SN - 0020-0255

VL - 311

SP - 74

EP - 85

JO - Information Sciences

JF - Information Sciences

ER -

Generalized interval vector spaces and interval optimization

Abstract

Keywords

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