Solving interval linear programming problem using generalized interval lu decomposition method

Solving Fuzzy Linear Fractional Programming Problem using LU Decomposition Method

Solving Multiobjective Linear Programming Problem Using Interval Arithmetic

Abstract In the real world, we often encounter cases where the information / data items can’t be determined with certainty. Hence the value of the datum in the data is assessed using an interval. Meanwhile multiobjective linear programming model is more adequate to describe the problem in the real world. Thus, the multiobjective linear programming problem will be developed into a multiobjective...

A New Method for Solving the Fully Interval Bilevel Linear Programming Problem with Equal Constraints

Most research on bilevel linear programming problem  is focused on its deterministic form, in which the coefficients and decision variables in the objective functions and constraints are assumed to be crisp. In fact, due to inaccurate information, it is difficult to know exactly values of coefficients that used to construct a bilevel model. The interval set theory is suitable for describing and...

Interval Linear Programming with generalized interval arithmetic

Generally, vagueness is modelled by a fuzzy approach and randomness by a stochastic approach. But in some cases, a decision maker may prefer using interval numbers as coefficients of an inexact relationship. In this paper, we define a linear programming problem involving interval numbers as an extension of the classical linear programming problem to an inexact environment. By using a new simple...

A Generalized Interval LU Decomposition for the Solution of Interval Linear Systems

Generalized intervals (intervals whose bounds are not constrained to be increasingly ordered) extend classical intervals providing better algebraic properties. In particular, the generalized interval arithmetic is a group for addition and for multiplication of zero free intervals. These properties allow one constructing a LU decomposition of a generalized interval matrix A: the two computed gen...