Sensitivity Analysis on Linear Programming Problems with Trapezoidal Fuzzy Variables

Introduction

Fuzzy set theory has been used in many fields such as control theory, mathematical modeling, Operations research and many industrial applications. Pahlavani (2010) presented a model to support the banking managerial decisions in the evaluation of investment plans, especially on rejecting inappropriate plans that can be done in short time (less than hour) and with minimal cost. Because there are some uncertainties in the evaluation process, their proposed model utilized fuzzy set theory to define the problem space in which an acceptance or rejection decision for a submitted investment plan is made. Wang and Liang (2009), based on Enhanced Russell measure model, proposed a fuzzy DEA model to deal with the efficiency evaluation problem with the given fuzzy input and output data, by using a ranking method based on the comparison of -cuts. They illustrated our approach through an application to performance assessment of flexible manufacturing system.