Optimized Multiple-Attribute Decision-Making through Employing Probabilistic Hesitant Fuzzy Number ExpTODIM and EDAS Technique and Application to Performance Evaluation of Smart Tourism Cities

Optimized Multiple-Attribute Decision-Making through Employing Probabilistic Hesitant Fuzzy Number ExpTODIM and EDAS Technique and Application to Performance Evaluation of Smart Tourism Cities | 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 Optimized Multiple-Attribute Decision-Making through Employing Probabilistic Hesitant Fuzzy Number ExpTODIM and EDAS Technique and Application to Performance Evaluation of Smart Tourism Cities Yan Guo This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4877303/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 At present, the society is in the process of rapid urbanization, and the core force to promote urban development is to vigorously develop urban economy. Urban tourism is an important part of urban economy, and there is a dialectical relationship between interdependence and promotion between urban tourism and urban economy. The innovative development of urban tourism is to follow the pace of the smart era and develop "smart tourism" by taking advantage of the development opportunities of "smart earth" and "smart city". "Smart tourism" refers to the application of cloud computing, high-performance information processing and other new generation information technology, intelligent data mining and other tourism development and industry management, which can explore the future development path of urban tourism from a new perspective. The performance evaluation of smart tourism cities is multiple-attributes decision-making (MADM). Currently, the Exponential TODIM(ExpTODIM) and EDAS was executed to put forward MADM. The probabilistic hesitant fuzzy sets (PHFSs) are executed for portraying fuzzy data during the performance evaluation of smart tourism cities. In this study, CRITIC approach is executed for weight values under PHFSs and probabilistic hesitant fuzzy number TODIM-EDAS (PHFN-ExpTODIM-EDAS) approach is put forward the MADM under PHFSs. At last, numerical example for performance evaluation of smart tourism cities is executed to verify the PHFN-ExpTODIM-EDAS. The major contributions are executed: (1) the ExpTODIM-EDAS was extended to PHFSs along with Entropy model; (2) CRITIC approach is executed for weight values under PHFSs. (3) the PHFN-ExpTODIM-EDAS is put forward MADM under PHFSs; (4) numerical example for performance evaluation of smart tourism cities and different comparative analysis is executed to verify the PHFN-ExpTODIM-EDAS model. Multiple-attributes decision-making (MADM) probabilistic hesitant fuzzy sets (PHFSs) ExpTODIM approach EDAS approach performance evaluation of smart tourism cities 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-4877303","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":348055194,"identity":"aaf8d318-a287-4309-9a8f-d6858ccc353c","order_by":0,"name":"Yan Guo","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA3klEQVRIiWNgGAWjYPACGx429uYDBz5UEK8lTY6P51jiwRlniNdy2FhOIsf4MG8LEWrlI5KPSfzccTixTSLnwwHeBgZ5frED+LUY3khLk+w9k57YxvN2wwHJHQyGM2cnENAyI8dMgrfNOrGNPXfDAcMzDAkGt4nQIvm3jTmxjSHnwQEgSViLvESOmTRvm7MxG0cOw4GDxGgx4HmWbC3blibHxnPM4GDDGQnCfpFvTz54822bDY98e/Pjz38qbOT5pQnZcoCBRQKJL4FTJcKWBgbmD4SVjYJRMApGwYgGAE8jSFe+A4eXAAAAAElFTkSuQmCC","orcid":"","institution":"Tangshan Normal University","correspondingAuthor":true,"prefix":"","firstName":"Yan","middleName":"","lastName":"Guo","suffix":""}],"badges":[],"createdAt":"2024-08-08 00:41:16","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4877303/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4877303/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":66355575,"identity":"8ae9cfc0-56ad-4f80-8597-e99c0c0736b4","added_by":"auto","created_at":"2024-10-10 21:31:28","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":397489,"visible":true,"origin":"","legend":"","description":"","filename":"PHFNExpTODIMEDAS20240808IJCISXIA.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4877303/v1_covered_c6d9caff-637e-4986-9cbf-1182885da741.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Optimized Multiple-Attribute Decision-Making through Employing Probabilistic Hesitant Fuzzy Number ExpTODIM and EDAS Technique and Application to Performance Evaluation of Smart Tourism Cities","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":"Multiple-attributes decision-making (MADM), probabilistic hesitant fuzzy sets (PHFSs), ExpTODIM approach, EDAS approach, performance evaluation of smart tourism cities","lastPublishedDoi":"10.21203/rs.3.rs-4877303/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4877303/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eAt present, the society is in the process of rapid urbanization, and the core force to promote urban development is to vigorously develop urban economy. 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