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The usual ordering " ≤" on R is a total ordering, that is, for any two real numbers in R, we can determine their order without difficulty. However, for any two closed intervals in R, there is not a natural ordering among the set of all closed intervals in R. Several methods have been developed to compare two intervals. In this paper, we define the(More)
The conventional Linear Programming (LP) model requires the parameters to be known as constants. In the real world, however, the parameters are seldom known exactly and have to be estimated. Interval programming is one of the tools to tackle uncertainty in mathematical programming models. In this paper, we consider LP problem whose coefficients are(More)
Polynomial equations with perturbed coefficients arise in several areas of engineering sciences, for instance, in automatic control theory , dynamical systems, optimization and in control theory. For such equations, it is necessary to study their roots and to establish a priori estimates to define regions containing such roots. Attending to the fact that(More)
In many real-life situations, we come across problems with imprecise input values. Imprecisions are dealt with by various ways. One of them is interval based approach in which we model imprecise quantities by intervals, and suppose that the quantities may vary independently and simultaneously within their intervals. In most optimization problems, they are(More)