Incorporating additional meta‐objectives into the extended lexicographic goal programming framework

This paper introduces two new meta‐objectives into the extended goal programming framework. The first meta‐objective is the number of unmet goals and the second is a measure of closeness to the pairwise comparisons given by the decision maker. These complement the original two meta‐objectives of the weighted sum of deviations and the maximal weighted deviation to provide a flexible four meta‐objective framework. Lexicographic and non‐lexicographic representations of the framework are developed. An example relating to transportation is solved in both the lexicographic and non‐lexicographic forms. Weight sensitivity analysis is applied to the meta‐weight parameters for the non‐lexicographic case in order to find a range of available distinct solutions.