<p>Selecting sustainable suppliers in the new energy vehicle industry is a complex decision-making problem due to diverse criteria, uncertainty in evaluations, and the need to prioritize certain factors. Addressing this gap, we propose a novel multi-criteria decision-making (MCDM) framework based on <i>p</i>,&#xa0;<i>q</i>-quasirung orthopair fuzzy (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(^{pq}\)</EquationSource> </InlineEquation>ROF) sets and enhanced with Aczel–Alsina–based prioritized aggregation operators. Specifically, we develop two base operators—the <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(^{pq}\)</EquationSource> </InlineEquation>ROF AA prioritized average (<InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(^{pq}\)</EquationSource> </InlineEquation>ROFAAPA) and the <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(^{pq}\)</EquationSource> </InlineEquation>ROF AA prioritized geometric (<InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(^{pq}\)</EquationSource> </InlineEquation>ROFAAPG)—along with their weighted prioritized counterparts, the <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(^{pq}\)</EquationSource> </InlineEquation>ROF AA prioritized weighted average (<InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(^{pq}\)</EquationSource> </InlineEquation>ROFAAPWA) and the <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(^{pq}\)</EquationSource> </InlineEquation>ROF AA prioritized weighted geometric (<InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(^{pq}\)</EquationSource> </InlineEquation>ROFAAPWG). The mathematical properties of these operators are established, and an MCDM algorithm is formulated to incorporate decision-makers’ priority structures. The framework also integrates a mathematical formulation to objectively determine criteria weights, ensuring a balanced combination of subjective and data-driven inputs. A case study for a leading new energy vehicle manufacturer demonstrates the framework’s effectiveness: among four evaluation criteria—Quality (<InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(\kappa _1\)</EquationSource> </InlineEquation>), Cost (<InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(\kappa _2\)</EquationSource> </InlineEquation>), Service level (<InlineEquation ID="IEq12"> <EquationSource Format="TEX">\(\kappa _3\)</EquationSource> </InlineEquation>), and Production capacity (<InlineEquation ID="IEq13"> <EquationSource Format="TEX">\(\kappa _4\)</EquationSource> </InlineEquation>)—Cost (<InlineEquation ID="IEq14"> <EquationSource Format="TEX">\(\kappa _2\)</EquationSource> </InlineEquation>) received the highest weight (0.2789), and supplier <InlineEquation ID="IEq15"> <EquationSource Format="TEX">\({V_3}\)</EquationSource> </InlineEquation> emerged as the most sustainable choice. Comparative experiments against established MCDM techniques confirm the proposed approach’s superior ranking stability and robustness. These results provide both a methodological advance for fuzzy decision-making research and a practical decision-support tool for industries pursuing environmentally responsible supply chain strategies.</p>

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Prioritized Aczel–Alsina aggregation operators under pq-quasirung orthopair fuzzy environment for sustainable supplier selection in new energy vehicle industry

  • Jawad Ali,
  • Ahmad N. Al-Kenani,
  • Muhammad I. Syam

摘要

Selecting sustainable suppliers in the new energy vehicle industry is a complex decision-making problem due to diverse criteria, uncertainty in evaluations, and the need to prioritize certain factors. Addressing this gap, we propose a novel multi-criteria decision-making (MCDM) framework based on pq-quasirung orthopair fuzzy ( \(^{pq}\) ROF) sets and enhanced with Aczel–Alsina–based prioritized aggregation operators. Specifically, we develop two base operators—the \(^{pq}\) ROF AA prioritized average ( \(^{pq}\) ROFAAPA) and the \(^{pq}\) ROF AA prioritized geometric ( \(^{pq}\) ROFAAPG)—along with their weighted prioritized counterparts, the \(^{pq}\) ROF AA prioritized weighted average ( \(^{pq}\) ROFAAPWA) and the \(^{pq}\) ROF AA prioritized weighted geometric ( \(^{pq}\) ROFAAPWG). The mathematical properties of these operators are established, and an MCDM algorithm is formulated to incorporate decision-makers’ priority structures. The framework also integrates a mathematical formulation to objectively determine criteria weights, ensuring a balanced combination of subjective and data-driven inputs. A case study for a leading new energy vehicle manufacturer demonstrates the framework’s effectiveness: among four evaluation criteria—Quality ( \(\kappa _1\) ), Cost ( \(\kappa _2\) ), Service level ( \(\kappa _3\) ), and Production capacity ( \(\kappa _4\) )—Cost ( \(\kappa _2\) ) received the highest weight (0.2789), and supplier \({V_3}\) emerged as the most sustainable choice. Comparative experiments against established MCDM techniques confirm the proposed approach’s superior ranking stability and robustness. These results provide both a methodological advance for fuzzy decision-making research and a practical decision-support tool for industries pursuing environmentally responsible supply chain strategies.