Evaluation of permafrost environmental sustainability based on the game theory and cloud matter-element extension method

Evaluation of permafrost environmental sustainability based on the game theory and cloud matter-element extension method | 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 Evaluation of permafrost environmental sustainability based on the game theory and cloud matter-element extension method Yi-Ning Ye, Ya-Ling Chou, Wei Cao, Jia-Wei Xu, Ai-Jun Wang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5415951/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 Aiming at the uncertainties and the randomness and fuzziness of classification grade boundary in the existing evaluation of permafrost environmental sustainability, a comprehensive model based on game theory and cloud matter-element extension model (CMEEM) was proposed. Based on game theory, the combination weights of each indicator were obtained by integrating the decision making trial and evaluation laboratory (DEMATEL) method and entropy weight method. Thus, the combination of subjective and objective weights was realized. Using the advantages of uncertainty inference and qualitative and quantitative analysis of the cloud matter-element extension model, a comprehensive evaluation vector was obtained by calculating the membership degree between the subject element and the hierarchical cloud. Then, the evaluation grade was determined according to the principle of maximum membership degree. Taking the case area along the Chaida’er-Muli Railway as an example, the expected value Ex was 3.811, and the grade is IV, indicating that the permafrost level was good, but the phenomenon of permafrost degradation has begun to appear in this region. The case study showed that the evaluation results of the model are objective and accurate, consistent with the actual situation and other research. This comprehensive model can provide a new method for the evaluation of permafrost environment sustainability and obtain more information. permafrost sustainability game theory cloud matter-element extension method DEMATEL method 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. 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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-5415951","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":375956513,"identity":"4658a8d8-7176-4599-84bc-50017707ad1b","order_by":0,"name":"Yi-Ning Ye","email":"","orcid":"","institution":"Lanzhou University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Yi-Ning","middleName":"","lastName":"Ye","suffix":""},{"id":375956514,"identity":"34af4bae-91c3-4a30-95d1-fa7cec1b20f7","order_by":1,"name":"Ya-Ling Chou","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA40lEQVRIiWNgGAWjYDACCTBpwcPAwHzwAGMD8VokgFrYEkjTAsQ8BsRp4Z/dfEyap0ZCxpx/zYeDP3cwyPM3MD97gNeSO8fSpHmOSfBYzni74YDkGQbDGQfYzA3waTGQyDGT5mGT4DG4cXbDAcM2BsYNDEAuYS3/QFrOPDiQ2MZgT5wW3jaglvM9DAcOtjEkEtQicSMt2XJuH8gWNoODjWckkmccZjPDq4V/RvLBG2++2dgbnD/88OHPHTa2/e3Nz/BqAQEmHrB9CWASmAoIqQcCxh9g+w4QoXQUjIJRMApGJAAA6lJFaKTBlCAAAAAASUVORK5CYII=","orcid":"","institution":"Lanzhou University of Technology","correspondingAuthor":true,"prefix":"","firstName":"Ya-Ling","middleName":"","lastName":"Chou","suffix":""},{"id":375956515,"identity":"b1e19a81-93e2-49cc-9250-d05937e54ec2","order_by":2,"name":"Wei Cao","email":"","orcid":"","institution":"Hangzhou City University","correspondingAuthor":false,"prefix":"","firstName":"Wei","middleName":"","lastName":"Cao","suffix":""},{"id":375956516,"identity":"7132f395-810d-4a42-b250-0f6338a8ec9b","order_by":3,"name":"Jia-Wei Xu","email":"","orcid":"","institution":"Lanzhou University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Jia-Wei","middleName":"","lastName":"Xu","suffix":""},{"id":375956517,"identity":"b1d849c4-0d21-47a1-b4bb-54e830583ac8","order_by":4,"name":"Ai-Jun Wang","email":"","orcid":"","institution":"Lanzhou University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Ai-Jun","middleName":"","lastName":"Wang","suffix":""}],"badges":[],"createdAt":"2024-11-08 10:53:26","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-5415951/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5415951/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":72037717,"identity":"5ebb7596-af9a-43d6-9fb5-dcaab7256714","added_by":"auto","created_at":"2024-12-21 00:31:20","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":861035,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5415951/v1_covered_5c362809-10a8-4a16-bd9d-23efeb68d32a.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Evaluation of permafrost environmental sustainability based on the game theory and cloud matter-element extension method","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":"permafrost, sustainability, game theory, cloud matter-element extension method, DEMATEL method","lastPublishedDoi":"10.21203/rs.3.rs-5415951/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5415951/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eAiming at the uncertainties and the randomness and fuzziness of classification grade boundary in the existing evaluation of permafrost environmental sustainability, a comprehensive model based on game theory and cloud matter-element extension model (CMEEM) was proposed. Based on game theory, the combination weights of each indicator were obtained by integrating the decision making trial and evaluation laboratory (DEMATEL) method and entropy weight method. Thus, the combination of subjective and objective weights was realized. Using the advantages of uncertainty inference and qualitative and quantitative analysis of the cloud matter-element extension model, a comprehensive evaluation vector was obtained by calculating the membership degree between the subject element and the hierarchical cloud. Then, the evaluation grade was determined according to the principle of maximum membership degree. Taking the case area along the Chaida\u0026rsquo;er-Muli Railway as an example, the expected value \u003cem\u003eEx\u003c/em\u003e was 3.811, and the grade is IV, indicating that the permafrost level was good, but the phenomenon of permafrost degradation has begun to appear in this region. The case study showed that the evaluation results of the model are objective and accurate, consistent with the actual situation and other research. This comprehensive model can provide a new method for the evaluation of permafrost environment sustainability and obtain more information.\u003c/p\u003e","manuscriptTitle":"Evaluation of permafrost environmental sustainability based on the game theory and cloud matter-element extension method","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-11-27 16:25:37","doi":"10.21203/rs.3.rs-5415951/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","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}}],"origin":"","ownerIdentity":"d867f225-86b2-4090-a31f-b005cd64b927","owner":[],"postedDate":"November 27th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2024-12-21T00:23:12+00:00","versionOfRecord":[],"versionCreatedAt":"2024-11-27 16:25:37","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-5415951","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-5415951","identity":"rs-5415951","version":["v1"]},"buildId":"qtupq5eGEP_6zYnWcrvyt","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}