Robustness of the Multi‐objective Moora Method With a Test for the Facilities Sector

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. These interpretations were tested by an application on the Facilities Sector in Lithuania. The application is multi‐objective: like costs, experience and effectiveness at the side of the contractors; quality, duration of the work and cost price at the side of the owners. These objectives having all different units the dimensionless ratios of the MOORA method avoids the difficulties of normalization. In a first part of MOORA these ratios were aggregated and in a second one they were used as distances to a reference point. The results of both parts control each other, a test on robustness. Additionally, MOORA shows a robust domination on all other methods of multi‐objective optimization. For the Facilities Sector in Lithuania, both parts of MOORA resulted in a comparable ranking. In this way a double check was made on the robustness of the results. Santrauka Patikimumo apibrėžimas ekonometrikoje, kaip neteisingas terminas tiesinėje lygtyje, buvo ne tik papildytas, bet ir išreikštas įprasta kalba: nuo kiekybinio prie kokybinio. Šios interpretacijos buvo patikrintos taikant jas Lietuvos paslaugų sektoriuje. Taikymas yra daugiatikslis: iš rangovo pusės kaip išlaidos, patirtis, efektyvumas; kokybė, darbo trukmė, kaina iš užsakovo pusės. Minėtieji tikslai turi skirtingus matavimo vienetus. O jų santykiniai dydžiai neturi mato vienetų, todėl taikant MOORA metodą yra išvengiama sunkumų juos normalizuojant. Pirmoje MOORA metodo taikymo dalyje šie santykiai yra sujungiami, o antroje dalyje ieškoma atstumo iki geriausio sprendinio. Abiejų metodo dalių rezultatai pagrindžia sprendinio teisingumą. Tai rodo aiškų MOORA metodo pranašumą, palyginti su kitais daugiatikslio optimizavimo metodais. Taikant abi MOORA metodo dalis Lietuvos paslaugų sektoriui buvo sudarytas lyginamasis rangavimas, buvo atliktas dvigubas rezultatų patikimumo patikrinimas.

Relationship between Economic Security and Country Risk Indicators in EU Baltic Sea Region Countries

“…This method was developed (Brauers & Zavadskas, 2010) and became MULTIMOORA (MOORA plus the full multiplicative form). These methods have been applied in different studies (Brauers, Ginevičius, Zavadskas, & Antuchevičienė, 2007;Brauers & Ginevičius, 2009;Brauers & Zavadskas 2009;Baležentis A., Baležentis, T., & Valkauskas, 2010;Brauers, Ginevičius, & Podvezko, 2010).…”

Untitled

“…In these studies, MOORA method was applied in various fields. Some studies using MOORA method in the literature might be summarized as privatization at transition economies (Brauers and Zavadskas, 2006) multi-objective optimization of road design alternatives (Brauers et al, 2012) strength of regional development studies in Lithuania (Brauers and Zavadskas, 2009) testing the economies of…”

“…The defines total rank index of the . alternative for each of m alternatives , which would rank the alternatives apparently according to their magnitude (Brauers and Zavadskas, 2009). …”

Optimization and Intelligent Decisions

“…Civil engineering is a field, where decision-making problems are complex (Brauers et al 2008, Brauers andZavadskas 2009) and their solution relies on multiple criteria (Ginevičius et al 2008;Zavadskas et al 2008). Therefore, a multi-criteria decision analysis approach (MCDA) can be applied for obtaining the problem's solution here (Brauers and Zavadskas 2009). Preparation of building repair activities in multi-family dwelling houses poses an important problem (Dytczak, Ginda 2009).…”

“…To support a decision-maker effectively, information pertaining to the importance of particular influences is required. Such information can be obtained using special means of multi-criteria decision analysis (MCDA) methodology (Brauers and Zavadskas 2009). The decisions made are usually based on an economical criterion only, and the influence of other issues is taken into account only intuitively.…”