The economy of the Belgian regions tested with multimoora

Abstract

The definition of robustness in econometrics, the error term in a linear equation, was not only broadened, but in addition moved to the meaning of common language: from a cardinal to a qualitative one. At that moment the most robust Multi‐Objective Optimization Method has to fulfill seven essential conditions. In addition, considering all stakeholders involved, the choice of the objectives is non‐subjective with the assistance of the Ameliorated Nominal Group Technique and the Delphi method. Outside Normalization is not necessary by the use of a Full Multiplicative Form or of MOORA (Multi‐Objective Optimization by Ratio Analysis). This last one is composed of ratio analysis “senso stricto” and of the Reference Point Method with the previously obtained ratios as a starting point. Combining the three methods in MULTIMOORA a full guarantee for robustness in Multiple Objectives Optimization is offered. This interpretation is tested by an application to the Economy of the Belgian Regions.

Santrauka

Stiprumo apibrežimas ekonometrijoje, klaidos terminas linijineje lygtyje buvo ne tik išplestas, jo reikš‐me buvo perkelta i paprasta kalba, t. y. nuo kiekybines iki kokybines reikšmes. Šiuo metu stipriausi daugiatiksliai optimizavimo metodai turi atitikti septynias pagrindines salygas. Be to, turint omenyje visas suinteresuotas grupes, tikslu pasirinkimas yra objektyvus taikant patobulinta nominaliu grupiu ir Delphi metodus. Normalizavimas privalo būti taip pat objektyvus, tai imanoma padaryti naudojant dauginamaja MOORA (daugiatikslis optimizavimas remiantis santykio analize) metodo forma. Ji su‐sideda iš santykio analizes _"senso strigto” ir atskaitos taško metodo su anksčiau gautu santykiu kaip pradžios tašku. Taigi sujungus tris metodus, kaip stiprumo garantas buvo pasiūlytas MULTIMOORA. Šis metodas yra išbandytas tiriant Belgijos regionu ekonomika.

Keywords:

• robustness
• Multi‐Objective Optimization
• stakeholders
• Ameliorated Nominal Group Technique
• Delphi method
• Full Multiplicative Form
• MOORA
• MULTIMOORA

Reikšminiai žodžiai:

• stiprumas
• daugiatikslis optimizavimas
• suinteresuotos grupes
• patobulintas nominaliu grupiu metodas. Delphi metodas
• pilnas sandaugos būdas
• MOORA
• MULTIMOORA