Multi-criteria decision-making based on the combination of interval-valued hesitant fuzzy information and ORESTE method

Multi-criteria decision-making based on the combination of interval-valued hesitant fuzzy information and ORESTE 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 Multi-criteria decision-making based on the combination of interval-valued hesitant fuzzy information and ORESTE method Jian Li, Li-li Niu, Qiongxia Chen, Zhong-xing Wang This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4345232/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 As an important extension of hesitant fuzzy sets, interval-valued hesitant fuzzy sets (IVHFSs) show the flexibility of decision makers (DMs) in expressing hesitant information. Accordingly, numerous research findings have been provided since the introduction of IVHFSs. However, a few important issues in IVHFS utilization remain to be addressed. To do this, this study introduces a multi-criteria decision-making (MCDM) method based on the combination of interval-valued hesitant fuzzy information and the method of the French organization Rangement et Synthese de Ronnees Relationnelles (ORESTE). First, the shortcomings of generalized normalized Hamming distance for interval-valued hesitant fuzzy elements (IVHFEs) in previous studies are discussed. Subsequently, several novel distance measures and a possibility degree formula are developed. Meanwhile, the proofs of the properties are provided to illustrate the effectiveness of the proposed distance measures and possibility degree formula. Second, an MCDM method based on the combination of interval-valued hesitant fuzzy information and the ORESTE method is developed. Lastly, an MCDM problem of identifying the optimal bidding schemeis presented to demonstrate the effectiveness of the proposed method. Acomparative study with other methods is conducted with an identical illustrative example. Multi-criteria decision-making Interval-valued hesitant fuzzy sets Generalized normalized Hamming distance Possibility degree ORESTE 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-4345232","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":297174839,"identity":"fe12a770-c2dd-400e-b786-82d3d84c5b2d","order_by":0,"name":"Jian Li","email":"","orcid":"","institution":"Nanning Normal University","correspondingAuthor":false,"prefix":"","firstName":"Jian","middleName":"","lastName":"Li","suffix":""},{"id":297174840,"identity":"26d094d5-1922-4d11-b548-99eb7b40d924","order_by":1,"name":"Li-li Niu","email":"","orcid":"","institution":"Nanning Normal University","correspondingAuthor":false,"prefix":"","firstName":"Li-li","middleName":"","lastName":"Niu","suffix":""},{"id":297174841,"identity":"e149c09a-4c52-4160-b0a8-3c711fe0b8f7","order_by":2,"name":"Qiongxia Chen","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAu0lEQVRIiWNgGAWjYHACNiC2QWITqSWNdC2HSdDCdyP52YOPO87nmUv3GDB8KDvMwD+7Ab8WyTPHzA1nnrldbDnnjAHjjHOHGSTuHMCvxeB4D5s0b9vtxA03cgyYedsOMxhIJBDQcpiHTfpv2zmIlr9EaQHZwth2AKKFkRgtQL+YSfa2JQO1pBUc7DmXziNxg4AWUIhJ/GyzA2pJ3vjgR5m1HP8MAloYDqCxeQioR9MyCkbBKBgFowArAAAsQUVB7ErdVAAAAABJRU5ErkJggg==","orcid":"","institution":"Nanning Normal University","correspondingAuthor":true,"prefix":"","firstName":"Qiongxia","middleName":"","lastName":"Chen","suffix":""},{"id":297174842,"identity":"578b54be-0c34-470a-9308-5c4982aa90ef","order_by":3,"name":"Zhong-xing Wang","email":"","orcid":"","institution":"Nanning Normal University","correspondingAuthor":false,"prefix":"","firstName":"Zhong-xing","middleName":"","lastName":"Wang","suffix":""}],"badges":[],"createdAt":"2024-04-29 22:53:32","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4345232/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4345232/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":56896884,"identity":"5c883376-391e-46fc-bcbe-9aa0bc4bc721","added_by":"auto","created_at":"2024-05-21 23:31:41","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":465143,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript0323.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4345232/v1_covered_b4fb2936-66ca-4f9f-bd13-8bc4c2e18c81.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Multi-criteria decision-making based on the combination of interval-valued hesitant fuzzy information and ORESTE 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":"Multi-criteria decision-making, Interval-valued hesitant fuzzy sets, Generalized normalized Hamming distance, Possibility degree, ORESTE","lastPublishedDoi":"10.21203/rs.3.rs-4345232/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4345232/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eAs an important extension of hesitant fuzzy sets, interval-valued hesitant fuzzy sets (IVHFSs) show the flexibility of decision makers (DMs) in expressing hesitant information. 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