Comparison of Taylor's Series Approximation with Piecewise Linear Approximation in Obtaining an Optimum Multivariate Stratified Sampling Design: A Fuzzy Goal Programming Approach

摘要

In this paper a compromise allocation is obtained in multivariate stratified sampling survey. The problem has been formulated as a multiobjective nonlinear programming problem and approximated to a linear programming problem (LPP) using two separate methods (i) Piecewise linear approximation method and (ii) Taylor series approximation. The solutions of both the LPP have been obtained through fuzzy goal programming. A numerical example is also provided to show the applicability of the methods. A comparison of the approaches has also been made.