Bivariate interval semi-infinite programming with an application to environmental decision-making analysis

This paper proposed a bivariate interval semi-infinite linear programming (BV-ISIP) method to address a type decision-making problem where various uncertainties exist in functional relations and parameter uncertainty. The performance of the method is also demonstrated via an illustrative example and an environmental decision-making problem. As BV-ISIP guarantees that each of the constraints is satisfied under all possible levels of independent variables, the system-failure risk can be reduced. The BV-ISIP solutions can be more robust to the variation of coefficients associated with independent variables than the ILP ones. Other features of BV-ISIP are as follows: (i) flexible decision-making schemes can be developed for decision makers in terms of the BV-ISIP solutions; (ii) BV-ISIP can conveniently be applied to many large-scale optimization problems as no significantly-increased computational costs are required; (iii) the method can easily be improved for addressing functional intervals associated with multiple independent variables.