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In this paper, we propose the bi–objective fuzzy mathematical model based on optimization technique in order to distribute the available medicines of various diseases to the disease population for minimizing human productivity loss. This paper also aims to minimize the total treatment cost and dosage level of medicines by its effective distribution. The main aim of introducing this model is to minimize the human productivity loss by the effective distribution of various types of available medicines to the disease population in a certain region. Moreover, the paper proposes the ranking index based on distance between new reference point of trapezoid to original point for solving the fuzzy optimization problem arrived from the proposed model by converting the fuzzy problems into crisp one.

On fuzzy mathematical modeling in the analysis of distribution of medicines for controlling communicable diseases based on optimization techniques