A regret-based three-way decision with novel intuitionistic fuzzy similarity in intuitionistic fuzzy information system

A regret-based three-way decision with novel intuitionistic fuzzy similarity in intuitionistic fuzzy information system | 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 Article A regret-based three-way decision with novel intuitionistic fuzzy similarity in intuitionistic fuzzy information system Zhuoma Dawa, Haidong Zhang, Yanping He This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7799565/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 11 You are reading this latest preprint version Abstract Three-way decision is a strategic approach that utilizes fuzzy set theory to divide the decision-making space into three regions to handle uncertainty information. Considering the various difficulties researchers encounter in dealing with uncertainty, the intuitionistic fuzzy set, as a type of fuzzy set, can effectively handle this uncertainty. The regret-joy function furnishes a supplementary viewpoint for the limitations of rational choice theory under uncertain conditions. This paper introduces a novel three-way decision method developed within the framework of intuitionistic fuzzy information systems, using the regret-joy function. Specifically, first, we introduce a novel intuitionistic fuzzy similarity degree to define the fuzzy similarity relationship between two alternatives. Second, in the intuitionistic fuzzy similarity class, we explore a method for calculating conditional probability using objective weights. Then, by integrating the relative loss function derived from the regret-joy function with conditional probability, we propose a novel three-way decision method within the framework of intuitionistic fuzzy information systems. Ultimately, the efficacy and reasonableness of the presented method are confirmed through case studies and comparisons. We conduct a sensitivity analysis on the parameters to determine their optimal range, showcasing the superiority of our proposed method. Physical sciences/Engineering Physical sciences/Mathematics and computing Intuitionistic fuzzy information system Intuitionistic fuzzy similarity degree Regret-joy function Threeway decision Full Text Additional Declarations No competing interests reported. Supplementary Files reviewreport.pdf Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 17 Mar, 2026 Reviews received at journal 23 Jan, 2026 Reviews received at journal 14 Jan, 2026 Reviewers agreed at journal 07 Jan, 2026 Reviewers agreed at journal 05 Jan, 2026 Reviewers agreed at journal 05 Jan, 2026 Reviewers agreed at journal 01 Nov, 2025 Reviewers invited by journal 31 Oct, 2025 Editor assigned by journal 24 Oct, 2025 Submission checks completed at journal 17 Oct, 2025 First submitted to journal 17 Oct, 2025 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. 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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-7799565","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":542876801,"identity":"af5fbc9b-6619-4cfb-aa28-623ebd162229","order_by":0,"name":"Zhuoma Dawa","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Zhuoma","middleName":"","lastName":"Dawa","suffix":""},{"id":542876802,"identity":"2fe1f6b8-ada0-476d-aa79-a8a7aa4b4d53","order_by":1,"name":"Haidong Zhang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA4ElEQVRIiWNgGAWjYBACPmYgwWMA5X0wsLEjqIUNroWNgYFxRkFaMmEtIIIHymLm+XCIsYGgFnbewy/eFNjlyc9vfvbZxuAAMwP74aMb8DuML81yjkFyscExNuPZOQZ3+Bh40tJu4NfCY2bMY8CcuIGNwZg5x+AZM4MEjxkxWuoT57exf2a2MDjM2ECEFuPHPAaHExuO8RgzMxCpxYxxjsHxxA3HcooZewzSktkI+YWf/4zxhzd/qhPnNx/fzPDjj40dP/vhY3i1gCySQOUSUA4CzB+IUDQKRsEoGAUjGQAARTg/Wl8HwrYAAAAASUVORK5CYII=","orcid":"","institution":"","correspondingAuthor":true,"prefix":"","firstName":"Haidong","middleName":"","lastName":"Zhang","suffix":""},{"id":542876803,"identity":"7891953a-02ca-43ff-9109-f5c4e90863b2","order_by":2,"name":"Yanping He","email":"","orcid":"","institution":"","correspondingAuthor":false,"prefix":"","firstName":"Yanping","middleName":"","lastName":"He","suffix":""}],"badges":[],"createdAt":"2025-10-07 12:42:32","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-7799565/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7799565/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":95746386,"identity":"0af8606d-d817-432c-9468-90a048b3cee2","added_by":"auto","created_at":"2025-11-12 14:52:10","extension":"json","order_by":0,"title":"","display":"","copyAsset":false,"role":"acdc-reference","size":4966,"visible":true,"origin":"","legend":"","description":"","filename":"3184fc3e8d43479cb7a427d5b6ff8ba8.json","url":"https://assets-eu.researchsquare.com/files/rs-7799565/v1/696046e536dd13978005738e.json"},{"id":95801011,"identity":"e19709e8-c6ef-4565-8fc8-3cfb0aaea4fc","added_by":"auto","created_at":"2025-11-13 08:24:15","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":18985541,"visible":true,"origin":"","legend":"","description":"","filename":"Revisedmanuscript1.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7799565/v1_covered_6f96f8d1-e719-4402-96b4-c23357ae34b7.pdf"},{"id":95746384,"identity":"a6d6834c-269c-4310-a2eb-8bbf78e1d6dd","added_by":"auto","created_at":"2025-11-12 14:52:09","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"supplement","size":69912,"visible":true,"origin":"","legend":"","description":"","filename":"reviewreport.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7799565/v1/7258fa0c1663bf3be561c793.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"\u003cp\u003eA regret-based three-way decision with novel intuitionistic fuzzy similarity in intuitionistic fuzzy information system\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"Intuitionistic fuzzy information system, Intuitionistic fuzzy similarity degree, Regret-joy function, Threeway decision","lastPublishedDoi":"10.21203/rs.3.rs-7799565/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7799565/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Three-way decision is a strategic approach that utilizes fuzzy set theory to divide the decision-making space into three regions to handle uncertainty information. 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