A multiobjective security game problem with fuzzy payoffs is studied in this paper. The problem is formulated as a bilevel programming problem with fuzzy coefficients. Using the idea of nearest interval approximation of fuzzy numbers, the problem is transformed into a bilevel programming problem with interval coefficients. The Karush-Kuhn-Tucker conditions is applied then to reduce the problem ...

In this paper, we consider a kind of bilevel linear programming problem where the coefficients of both objective functions are fuzzy random variables. The purpose of this paper is to develop a computational method for obtaining optimistic Stackelberg solutions to such a problem. Based on a level sets of fuzzy random variables, we first transform the fuzzy random bilevel programming problem into...

Recently fuzzy interval flexible linear programs have attracted many interests. These models are an extension of the classical programming which deal with crisp parameters. However, in most real-world applications, nature parameters decision-making problems is generally imprecise. Such uncertainties can lead to increased complexities related optimisation efforts. Simply ignoring these considere...

zinc is the first modelling language which supports solver and technique independence. this means that a high level conceptual model can be automatically mapped into an appropriate low level design model for a specific solver or technique. to date, zinc uses three different techniques to solve a model: constraint programming (cp), local search (ls), and mixed integer programming (mip). in this ...

We consider a square linear interval parametric (LIP) system of size n whose elements are affine linear functions of the m-dimensional parameter vector p. Recently, a new type of solution to the LIP system considered (called parameterized or p-solution) has been introduced, which is of a corresponding linear interval (LI) form. An iterative method for determining the linear p-solution has also ...