Inventory problems with fuzzy numbers as demands

In this paper is studied a possibilistic multi-item risk neutral inventory problem in which the components of the demand vector are fuzzy numbers. In defining the total profit and in the formulation of the optimization problem, the operations with fuzzy numbers and the possibilistic expected value associated with a fuzzy number are used. One proves a calculation formula of the solution of the optimization problem, from which calculations formulas for the particular case of the trapezoidal and triangular fuzzy numbers are obtained. The theoretical results are exemplified on numerical data.

Automated summary

This paper studies a possibilistic multi-item risk neutral inventory problem where the components of the demand vector are fuzzy numbers. The total profit is defined and the optimization problem is formulated using operations with fuzzy numbers and the possibilistic expected value associated with a fuzzy number. A calculation formula for the solution of the optimization problem is proven, and calculation formulas for the trapezoidal and triangular fuzzy number cases are derived. The theoretical results are exemplified using numerical data.