A parametric approach to solve quadratic programming problems with fuzzy environment in the set of constraints

摘要

Quadratic programming can be seen both as a general approach to linear programming and a special class of nonlinear programming. Moreover, Quadratic Programming problems are of utmost importance in a variety of relevant practical fields, such as, portfolio selection. This work presents and develops a novel fuzzy-sets-based method that solves a class of quadratic programming problems with vagueness in the set of constraints. As vagueness is natural and ever-present in real-life situations requiring solutions, it makes perfect sense to attempt to address them using fuzzy quadratic programming. This kind of problem modeling is being applied in an increasing variety of practical fields especially those with logistics problems. Some illustrative numerical examples illustrating the solution approach are solved and analyzed to show the efficiency of this proposed method.