İki amaçlı ters çok kriterli sıralama problemi için hedef programlama modeli

Abstract

Bi-objective inverse multiple criteria sorting problem  Linear multiple criteria sorting model  Goal programming approach to obtain compromise solution between conflicting objectives Some kind of multi-criteria decision-making problems are interested in the assignment of objects to predetermined classes. Based on the existence of preference order between object classes, these problems are called as multi-criteria sorting or classification problems. Inverse multi-criteria sorting problem deals with the improvement of class assignments for objects to more preferred classes. In this study, a bi-objective formulation for inverse multi-criteria ranking problem is proposed. Solution to the model for a building energy efficiency labels improvement application is obtained by using goal programming approach to find a compromise solution between the improvement plan cost and the number of objects assigned to preferred classes. Figure A. Steps of modelling and solution process for the proposed model Purpose: The main aim of this study is to propose a new model for inverse multi-criteria sorting problem in order to extend the problem into multi-objective optimization context. To do so, a bi-objective model is proposed and solution to the model is obtained by goal programming approach. Theory and Methods: Inverse multi-criteria sorting problem aims to determine improvement strategies for assignment of objects to more preferred classes in sorting applications. The proposed model in this study is a multi-objective integer linear programming model. To obtain a compromise solution between two objectives, goal programming approach is utilized as the solution methodology. Results: A numerical example on the improvement of building energy efficiency labels is presented. According to the criteria used in the BEP-TR model, which measures the energy efficiency of buildings in Turkey, improvement plan is developed for energy labels of ten buildings. Conclusion: The first multi-objective model for inverse multi-criteria sorting problem is proposed in this study. Solution results seems promising for application of the problem in different areas.