Sensitivity analysis of fuzzy linear programs: an approach to parametric interdependence

The study focuses on the problem of parametric interdependence in fuzzy linear programs. The relevance of the research issue stems from the fact that in real world problems, the mathematically best parameter combination with nonexistent interdependence is not necessarily feasible under more restricting conditions. One way to control the parameter combinations entering the LP is to assume some mathematical relations between the fuzzy numbers of the model. The study suggests one approach for extracting combinations of parameters in the fuzzy LP while explicitly recognizing their interdependence (the position vector method). With a strictly convex or concave membership function uniqueness of parameter combinations is secured.