A numerical approach for fuzzy quadratic programming problems with an application to dairy farming

Quadratic programming (QP) involving fuzzy parameters can be regarded as an extended version of conventional QP. A vast variety of practical applications makes fuzzy QP (FQP) a preferred choice. Fully FQP (FFQP) is a further generalisation of FQP by including fuzzy decision variables so as to avoid enforcement of crisp decision variables. The study proposes a numerical approach using suitable weights attached to lower and upper value of the objective function after applying α-cut in order to retain the fuzzy aspect of FFQP. The equivalence between the new formulation and original model has been established through various theorems. The numerical examples are also solved to clarify the proposed method. Besides generalisation, the study brings forth its significance in real life applications, viz., dairy farming problem, which is first modelled and then solved using the proposed algorithm.