An Application for Aggregating the Criteria Weights Obtained by Different Objective Weighting Methods and Their Use in COPRAS

Multi-criteria? decision? making? (MCDM)? refers? to? a? group? of? techniques? for?assessing? a? set? of? alternatives?in?light? of? several,? usually conflicting criteria. Thus,?given?a?set?of?alternatives?(options)?and?a?number of?decision?criteria,?the?purpose of?MCDM?is?to?provide?a?choice,?ranking,? description,? classification,? sorting,? and,? in? most? instances,? an? order? of? alternatives,?from?the?most?preferred?to?the?least?favored option. (Mulliner? et?al.,?2016).?Assigning?weights?to?criteria?is?a?crucial?step?that?needs?to?be? reconsidered?in?the?majority?of?MCDM?models.?However,?one?of?the?main? issues? with? MCDM? is? figuring? out? how? to? weight? the? various? criteria? (Pamu?ar et?al.? 2018;?Vinogradova et? al.,? 2018).?The? assessment? of?the? criteria? weights? can? be subjective,? objective? or? hybrid (Ginevi?ius and Podvezko,?2005).?The?subjective?methods?calculate?weights?in?accordance? with?the? preferences? of? decision?makers? for?the? criteria.?The? opinion? or? intuition? of? the? decision? maker? is? reflected? in? weights? created? using? subjective?methods.?Due?to?lack?of?information?or?experience,?the?decision? maker?may?impact?the?findings?of?analyses?or?the?rankings?of?alternatives? based? on? weights (Ma? et? al.,? 1999).? Furthermore,? determining? the? subjective weights for?the?criteria takes?a?lot? of?time,? particularly?when? there?is? disagreement? among?the? decision?makers? regarding?the?issue? at? hand? (Odu,? 2019). On? the? contrary, the? objective? methods? calculate? weights?on?the?basis?of?objective?data?(e.g.?decision?matrix).?However,?by? using? mathematical? models? to? generate? weights,? objective? methods? frequently? ignore? the? decision? maker's? subjective? judgment (Ma? et? al.,? 1999). The?question?of?how?completely?and?objectively?the?small?sample? of?alternative?traits?conveys?the?value?of?the?criteria?is?also?left?unanswered? for? these? methodologies.? Obviously,? the? decision matrix? entirely? determines? the? outcome (Mukhametzyanov,? 2021). In? hybrid? methods,? subjective?and?objective?weighting?methods?are?combined.?The?decision? matrix?data?and?the?preferences?of?the?decision?makers?can?both?be?used?in? the?hybrid?methods?(Keshavarz-Ghorabaee?et?al.