Parametric Functional Representation of Interval Number with Arithmetic Operations

Abstract

The objective of this paper is to represent the interval number in different functional forms. We have represented the interval number by parametric product functional form, symmetric functional form, asymmetric functional form and convex combination functional form. We represent positive interval number in parametric product functional form, symmetric and asymmetric functional forms. However any interval number can be represented by a convex combination functional form. We also study the arithmetic operations of interval numbers based on the different forms of functional representation. Numerical examples are given to illustrate our proposed approach for arithmetic operations of the interval number in different functional form. Finally some open problems are mentioned at the end of the paper.