<p>The increasing global consumption of plastics has led to an alarming surge in non-biodegradable waste, posing severe threats to ecosystems and wildlife. Addressing these challenges requires advanced decision-making frameworks to navigate the complexities of competing factors and uncertainties in plastic waste management (PWM). This study presents a pioneering decision-making framework tailored to the linguistic q-rung orthopair fuzzy (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12065_2025_1080_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="59" /> </InlineMediaObject> <EquationSource Format="TEX">$L^{q}ROF$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>L</mi> <mi>q</mi> </msup> <mi>R</mi> <mi>O</mi> <mi>F</mi> </mrow> </math></EquationSource> </InlineEquation>) environment, offering enhanced capabilities for handling imprecision and uncertainty. A key innovation of this work is the introduction of new operational laws for <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12065_2025_1080_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="59" /> </InlineMediaObject> <EquationSource Format="TEX">$L^{q}ROF$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>L</mi> <mi>q</mi> </msup> <mi>R</mi> <mi>O</mi> <mi>F</mi> </mrow> </math></EquationSource> </InlineEquation> values, grounded in Archimedean copula and co-copula (ACC) theory. These laws exhibit essential properties such as idempotence, boundedness, and monotonicity, forming the foundation for novel power aggregation operators (AOs), including the <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12065_2025_1080_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="59" /> </InlineMediaObject> <EquationSource Format="TEX">$L^{q}ROF$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>L</mi> <mi>q</mi> </msup> <mi>R</mi> <mi>O</mi> <mi>F</mi> </mrow> </math></EquationSource> </InlineEquation> copula extended power average (<InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12065_2025_1080_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="59" /> </InlineMediaObject> <EquationSource Format="TEX">$L^{q}ROF$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>L</mi> <mi>q</mi> </msup> <mi>R</mi> <mi>O</mi> <mi>F</mi> </mrow> </math></EquationSource> </InlineEquation>CEPA) and geometric (<InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12065_2025_1080_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="59" /> </InlineMediaObject> <EquationSource Format="TEX">$L^{q}ROF$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>L</mi> <mi>q</mi> </msup> <mi>R</mi> <mi>O</mi> <mi>F</mi> </mrow> </math></EquationSource> </InlineEquation>CEPG) operators, along with their weighted variants. By integrating these AOs with the method based on the removal effects of criteria (MEREC) weighting technique, we propose a comprehensive decision-making approach for identifying optimal PWM strategies. The robustness and applicability of the framework are demonstrated through a detailed case study, sensitivity analysis, and comparative evaluation, highlighting its effectiveness in delivering reliable and insightful decisions for PWM challenges.</p>

Copula extended power aggregation operators and MEREC method under linguistic q-rung orthopair fuzzy information: an application to plastic waste management solution selection

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发表日期：

2025年8月16日

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Jawad Ali

摘要

The increasing global consumption of plastics has led to an alarming surge in non-biodegradable waste, posing severe threats to ecosystems and wildlife. Addressing these challenges requires advanced decision-making frameworks to navigate the complexities of competing factors and uncertainties in plastic waste management (PWM). This study presents a pioneering decision-making framework tailored to the linguistic q-rung orthopair fuzzy ( $L^{q}ROF$ $L^{q} R O F$ ) environment, offering enhanced capabilities for handling imprecision and uncertainty. A key innovation of this work is the introduction of new operational laws for $L^{q}ROF$ $L^{q} R O F$ values, grounded in Archimedean copula and co-copula (ACC) theory. These laws exhibit essential properties such as idempotence, boundedness, and monotonicity, forming the foundation for novel power aggregation operators (AOs), including the $L^{q}ROF$ $L^{q} R O F$ copula extended power average ( $L^{q}ROF$ $L^{q} R O F$ CEPA) and geometric ( $L^{q}ROF$ $L^{q} R O F$ CEPG) operators, along with their weighted variants. By integrating these AOs with the method based on the removal effects of criteria (MEREC) weighting technique, we propose a comprehensive decision-making approach for identifying optimal PWM strategies. The robustness and applicability of the framework are demonstrated through a detailed case study, sensitivity analysis, and comparative evaluation, highlighting its effectiveness in delivering reliable and insightful decisions for PWM challenges.