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<p>This article initiates a decomposed Fermatean hesitant fuzzy set (DFHFS) as an amalgamation of decomposed fuzzy set (DFS) with Fermatean fuzzy set (FFS). Fast fashion waste has a devastating impact as it emits the greenhouse gases and pollutes the water extensively. There are environmental and occupational risks associated with each step of the clothing life cycle in the fashion industry. In this regard, this article delves a green 4D closed-loop supply chain (CLSC) that aims to cope up with the fashion waste management sustainably. This model is established under the environment of the proposed DFHFS in order to immaculate the unpredictability and precariousness. The model aims to ameliorate the pivotal goals comprising total expenditure, travel time, greenhouse gases emissions, and employment creation. To validate the Pareto optimality of the established&#xa0;CLSC, two fuzzy approaches, i.e., fuzzy programming (FP) and intuitionistic fuzzy programming (IFP), as well as a non-fuzzy approach, <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\epsilon\)</EquationSource> </InlineEquation>-constraint, are deployed. Taking the proposed model a step further by presenting a numerical example, we offer a deeper understanding of its complexity, offering insight into how it works. Following this, managerial insights, and conclusions outline unforeseen notions for further research and exploration are also explored in this article.</p>

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Integrated 4D Closed Loop Supply Chain Management System in Fast Fashion Era under Decomposed Fermatean Hesitant Fuzzy Environment

  • 期刊论文

  • 发表日期：

    2026年3月3日

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  • Sadhna Chaudhary,
  • M. K. Sharma,
  • Apu Kumar Saha

摘要

This article initiates a decomposed Fermatean hesitant fuzzy set (DFHFS) as an amalgamation of decomposed fuzzy set (DFS) with Fermatean fuzzy set (FFS). Fast fashion waste has a devastating impact as it emits the greenhouse gases and pollutes the water extensively. There are environmental and occupational risks associated with each step of the clothing life cycle in the fashion industry. In this regard, this article delves a green 4D closed-loop supply chain (CLSC) that aims to cope up with the fashion waste management sustainably. This model is established under the environment of the proposed DFHFS in order to immaculate the unpredictability and precariousness. The model aims to ameliorate the pivotal goals comprising total expenditure, travel time, greenhouse gases emissions, and employment creation. To validate the Pareto optimality of the established CLSC, two fuzzy approaches, i.e., fuzzy programming (FP) and intuitionistic fuzzy programming (IFP), as well as a non-fuzzy approach, \(\epsilon\) -constraint, are deployed. Taking the proposed model a step further by presenting a numerical example, we offer a deeper understanding of its complexity, offering insight into how it works. Following this, managerial insights, and conclusions outline unforeseen notions for further research and exploration are also explored in this article.