Designing a sustainable closed-loop supply chain using robust possibilistic-stochastic programming in pentagonal fuzzy numbers

The lack of information and hybrid uncertainties in Supply Chain (SC) parameters affect managerial decisions. It is inevitable to consider random uncertainty based on fuzzy scenarios and cognitive uncertainty to model a Sustainable Closed-Loop SC (SCLSC) problem. Using Pentagonal Fuzzy Numbers (PFN...

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Main Authors: Seyyed Jalaladdin Hosseini Dehshiri, Maghsoud Amiri, Mostafa Hajiaghaei-Keshteli, Mehdi Keshavarz-Ghorabaee, Edmundas Kazimieras Zavadskas, Jurgita Antuchevičienė
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2024-12-01
Series:Transport
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Online Access:https://tede.vgtu.lt/index.php/Transport/article/view/23099
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author Seyyed Jalaladdin Hosseini Dehshiri
Maghsoud Amiri
Mostafa Hajiaghaei-Keshteli
Mehdi Keshavarz-Ghorabaee
Edmundas Kazimieras Zavadskas
Jurgita Antuchevičienė
author_facet Seyyed Jalaladdin Hosseini Dehshiri
Maghsoud Amiri
Mostafa Hajiaghaei-Keshteli
Mehdi Keshavarz-Ghorabaee
Edmundas Kazimieras Zavadskas
Jurgita Antuchevičienė
author_sort Seyyed Jalaladdin Hosseini Dehshiri
collection DOAJ
description The lack of information and hybrid uncertainties in Supply Chain (SC) parameters affect managerial decisions. It is inevitable to consider random uncertainty based on fuzzy scenarios and cognitive uncertainty to model a Sustainable Closed-Loop SC (SCLSC) problem. Using Pentagonal Fuzzy Numbers (PFNs) has higher comprehensiveness and accuracy than triangular and trapezoidal fuzzy numbers due to taking into account higher uncertainty, less lack of information, and taking into account maximum subjectivity Decision-Makers (DMs). There is a gap in the literature regarding the use of PFNs in SCLSC problems. This research presents a new model using PFNs to solve deficiencies in stochastic-possibilistic programming. Developing a Robust Stochastic-Possibilistic (RSP) based on PFNs under fuzzy scenarios, presenting measures of necessity, possibility, and credibility for making decisions founded on different levels of DMs’ risk, and proposing global solutions through providing linear programming models are the main innovations and contributions of the present research. An actual case study evaluates the presented approach to reduce the cost and carbon pollution in the stone paper SC. In the suggested method, trade-offs could be formed between the mean of objective functions and risk by modifying the robustness coefficients. According to the proposed approach, an optimal value of confidence is specified. Additionally, robustness deviations are controlled in the model, which results in more accurate and reliable results. Numerical simulations confirmed the efficacy of the robust approach proposed. First published online 7 February 2025
format Article
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institution Kabale University
issn 1648-4142
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language English
publishDate 2024-12-01
publisher Vilnius Gediminas Technical University
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spelling doaj-art-76adbd2ac83342be864605ecbc9932cf2025-02-07T16:30:30ZengVilnius Gediminas Technical UniversityTransport1648-41421648-34802024-12-0139410.3846/transport.2024.23099Designing a sustainable closed-loop supply chain using robust possibilistic-stochastic programming in pentagonal fuzzy numbersSeyyed Jalaladdin Hosseini Dehshiri0Maghsoud Amiri1Mostafa Hajiaghaei-Keshteli2Mehdi Keshavarz-Ghorabaee3Edmundas Kazimieras Zavadskas4Jurgita Antuchevičienė5Dept of Industrial Management, Allameh Tabataba’i University, Tehran, IranDept of Industrial Management, Allameh Tabataba’i University, Tehran, IranDept of Industrial Engineering, Monterrey Institute of Technology and Higher Education, Puebla, MexicoDept of Management, Gonbad Kavous University, Gonbad Kavous, IranInstitute of Sustainable Construction, Vilnius Gediminas Technical University, Vilnius, LithuaniaDept of Construction Management and Real Estate, Vilnius Gediminas Technical University, Vilnius, Lithuania The lack of information and hybrid uncertainties in Supply Chain (SC) parameters affect managerial decisions. It is inevitable to consider random uncertainty based on fuzzy scenarios and cognitive uncertainty to model a Sustainable Closed-Loop SC (SCLSC) problem. Using Pentagonal Fuzzy Numbers (PFNs) has higher comprehensiveness and accuracy than triangular and trapezoidal fuzzy numbers due to taking into account higher uncertainty, less lack of information, and taking into account maximum subjectivity Decision-Makers (DMs). There is a gap in the literature regarding the use of PFNs in SCLSC problems. This research presents a new model using PFNs to solve deficiencies in stochastic-possibilistic programming. Developing a Robust Stochastic-Possibilistic (RSP) based on PFNs under fuzzy scenarios, presenting measures of necessity, possibility, and credibility for making decisions founded on different levels of DMs’ risk, and proposing global solutions through providing linear programming models are the main innovations and contributions of the present research. An actual case study evaluates the presented approach to reduce the cost and carbon pollution in the stone paper SC. In the suggested method, trade-offs could be formed between the mean of objective functions and risk by modifying the robustness coefficients. According to the proposed approach, an optimal value of confidence is specified. Additionally, robustness deviations are controlled in the model, which results in more accurate and reliable results. Numerical simulations confirmed the efficacy of the robust approach proposed. First published online 7 February 2025 https://tede.vgtu.lt/index.php/Transport/article/view/23099closed-loop supply chainpossibilistic programmingfuzzy scenariosrobust approachsustainable designstochastic programming
spellingShingle Seyyed Jalaladdin Hosseini Dehshiri
Maghsoud Amiri
Mostafa Hajiaghaei-Keshteli
Mehdi Keshavarz-Ghorabaee
Edmundas Kazimieras Zavadskas
Jurgita Antuchevičienė
Designing a sustainable closed-loop supply chain using robust possibilistic-stochastic programming in pentagonal fuzzy numbers
Transport
closed-loop supply chain
possibilistic programming
fuzzy scenarios
robust approach
sustainable design
stochastic programming
title Designing a sustainable closed-loop supply chain using robust possibilistic-stochastic programming in pentagonal fuzzy numbers
title_full Designing a sustainable closed-loop supply chain using robust possibilistic-stochastic programming in pentagonal fuzzy numbers
title_fullStr Designing a sustainable closed-loop supply chain using robust possibilistic-stochastic programming in pentagonal fuzzy numbers
title_full_unstemmed Designing a sustainable closed-loop supply chain using robust possibilistic-stochastic programming in pentagonal fuzzy numbers
title_short Designing a sustainable closed-loop supply chain using robust possibilistic-stochastic programming in pentagonal fuzzy numbers
title_sort designing a sustainable closed loop supply chain using robust possibilistic stochastic programming in pentagonal fuzzy numbers
topic closed-loop supply chain
possibilistic programming
fuzzy scenarios
robust approach
sustainable design
stochastic programming
url https://tede.vgtu.lt/index.php/Transport/article/view/23099
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