Fuzzy costs in quadratic programming problems

Fuzzy costs in quadratic programming problems

Author Silva, Ricardo C. Autor UNIFESP Google Scholar
Cruz, Carlos Google Scholar
Verdegay, Jose L. Google Scholar
Institution Universidade Federal de São Paulo (UNIFESP)
Univ Granada
Abstract Although quadratic programming problems are a special class of nonlinear programming, they can also be seen as general linear programming problems. These quadratic problems are of the utmost importance in an increasing variety of practical fields. As, in addition, ambiguity and vagueness are natural and ever-present in real-life situations requiring operative solutions, it makes perfect sense to address them using fuzzy concepts formulated as quadratic programming problems with uncertainty, i.e., as Fuzzy Quadratic Programming problems. This work proposes two novel fuzzy-sets-based methods to solve a particular class of Fuzzy Quadratic Programming problems which have vagueness coefficients in the objective function. Moreover, two other linear approaches are extended to solve the quadratic case. Finally, it is shown that the solutions reached from the extended approaches may be obtained from two proposed parametric multiobjective approaches.
Keywords Fuzzy set
Decision making
Fuzzy mathematical optimization
Quadratic programming
Efficient solutions
Language English
Sponsor Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
MICINN
Grant number FAPESP: 2010/51069-2
: TIN2011-27696-C02-01
: P11-TIC-8001
: TIN2008-06872-C04-04
: TIN2008-01948
Date 2013-09-01
Published in Fuzzy Optimization and Decision Making. New York: Springer, v. 12, n. 3, p. 231-248, 2013.
ISSN 1568-4539 (Sherpa/Romeo, impact factor)
Publisher Springer
Extent 231-248
Origin http://dx.doi.org/10.1007/s10700-013-9153-1
Access rights Closed access
Type Article
Web of Science ID WOS:000322655700001
URI http://repositorio.unifesp.br/handle/11600/36699

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