A green supply chain transportation network model incorporating multi-stakeholders’ condition using fuzzy game theory

A green supply chain transportation network model incorporating multi-stakeholders’ condition using fuzzy game theory | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article A green supply chain transportation network model incorporating multi-stakeholders’ condition using fuzzy game theory Mahmood Darvishsefat, Javad Rezaeian, Mohammad Mahdi Pourpasha This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3962224/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Companies around the globe, aim to reduce stock, production cycle time, transportation cost, quality cost, to maximize their benefits. This is normally done by using supply chain management principles. There is, also, a raising global awareness around reducing our negative environmental impacts. To this end, this paper proposes a multi-level green supply chain transportation model under multi-stakeholder’s condition, in which fuzzy game and Shapley-Hukuhara value were used to select the best interactive mode by presenting different scenarios so that all stakeholders achieve their maximum benefits. The optimal model includes the lowest costs of purchase and production, maintenance, shortage, and warehousing, while the produced CO 2 is minimized at different stages of production and transportation. The results of a numerical case study showed that the answer provided by the game theory for the value of the objective function is less than the ones by the transport problem, despite the deficit penalty. fuzzy game theory multi-stakeholders green supply chain transportation network Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-3962224","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":273332643,"identity":"6931046c-deef-4947-b7d4-15dca91ceebf","order_by":0,"name":"Mahmood Darvishsefat","email":"data:image/png;base64,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","orcid":"","institution":"Islamic Azad University","correspondingAuthor":true,"prefix":"","firstName":"Mahmood","middleName":"","lastName":"Darvishsefat","suffix":""},{"id":273332644,"identity":"26579882-f321-43c2-b6d5-f2a55457ce93","order_by":1,"name":"Javad Rezaeian","email":"","orcid":"","institution":"Mazandaran University of Science and Technology","correspondingAuthor":false,"prefix":"","firstName":"Javad","middleName":"","lastName":"Rezaeian","suffix":""},{"id":273332645,"identity":"e702062c-8ffb-4f99-92de-12e82273c007","order_by":2,"name":"Mohammad Mahdi Pourpasha","email":"","orcid":"","institution":"Islamic Azad University","correspondingAuthor":false,"prefix":"","firstName":"Mohammad","middleName":"Mahdi","lastName":"Pourpasha","suffix":""}],"badges":[],"createdAt":"2024-02-16 19:48:02","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3962224/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3962224/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":53455959,"identity":"951c9edd-cf13-4778-9ffa-36431bad4f85","added_by":"auto","created_at":"2024-03-26 07:56:05","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":442963,"visible":true,"origin":"","legend":"","description":"","filename":"finalspringer.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3962224/v1_covered_dcc81c50-995d-480f-b853-527fc1c23858.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"A green supply chain transportation network model incorporating multi-stakeholders’ condition using fuzzy game theory","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"fuzzy game theory, multi-stakeholders, green supply chain, transportation network","lastPublishedDoi":"10.21203/rs.3.rs-3962224/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3962224/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eCompanies around the globe, aim to reduce stock, production cycle time, transportation cost, quality cost, to maximize their benefits. This is normally done by using supply chain management principles. There is, also, a raising global awareness around reducing our negative environmental impacts. To this end, this paper proposes a multi-level green supply chain transportation model under multi-stakeholder\u0026rsquo;s condition, in which fuzzy game and Shapley-Hukuhara value were used to select the best interactive mode by presenting different scenarios so that all stakeholders achieve their maximum benefits.\u003c/p\u003e \u003cp\u003eThe optimal model includes the lowest costs of purchase and production, maintenance, shortage, and warehousing, while the produced CO\u003csub\u003e2\u003c/sub\u003e is minimized at different stages of production and transportation. 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