Fuzzy costs in quadratic programming problems

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.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)MICINNUniversidade Federal de São Paulo, Inst Sci & Technol, BR-12231280 Sao Jose Dos Campos, SP, BrazilUniv Granada, CITIC, Dept Comp Sci & Artificial Intelligence, E-18071 Granada, SpainUniversidade Federal de São Paulo, Inst Sci & Technol, BR-12231280 Sao Jose Dos Campos, SP, BrazilFAPESP: 2010/51069-2: TIN2011-27696-C02-01: P11-TIC-8001: TIN2008-06872-C04-04: TIN2008-01948Web of Scienc