A novel distance measure for probabilistic linguistic term sets with application to emergency decision-making

A novel distance measure for probabilistic linguistic term sets with application to emergency decision-making | 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 novel distance measure for probabilistic linguistic term sets with application to emergency decision-making Hanjie Liu, Zhiying Wang, Hongmei Jia This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4479920/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 23 Aug, 2024 Read the published version in Granular Computing → Version 1 posted 12 You are reading this latest preprint version Abstract The probabilistic linguistic term sets (PLTSs), as a form of fuzzy language, is capable of effectively expressing the evaluation information of decision-makers (DMs) in emergency decision-making (EDM). In response to the uncertainty of decision-making information and the non-complete rationality of DMs in EDM, a method for EDM based on PLTSs and regret theory has been developed. Firstly, a novel distance measure model based on the Euclidean distance, Jensen-Shannon (JS) divergence, and Jousselme distance is established for the PLTSs. Secondly, the expert weight is calculated based on both the degree of trust in the expert and the degree of similarity in viewpoints. In the process of consensus reaching, a feedback adjustment coefficient is introduced to reasonably retain the original evaluation information provided by experts. Then, a combined weighting model is established based on both objective attribute weight and subjective attribute weight in order to solve the comprehensive attribute weight. It is important to consider that DMs are often not entirely rational; therefore, an EDM method is constructed using PLTSs and regret theory to prioritize alternatives. Finally, the effectiveness and feasibility of the proposed method are validated through the selection of a transportation scheme for earthquake relief materials. Emergency decision-making Probabilistic linguistic term sets Distance measure Consensus reaching Regret theory Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 23 Aug, 2024 Read the published version in Granular Computing → Version 1 posted Editorial decision: Revision requested 30 Jun, 2024 Reviews received at journal 30 Jun, 2024 Reviews received at journal 30 Jun, 2024 Reviewers agreed at journal 16 Jun, 2024 Reviewers agreed at journal 09 Jun, 2024 Reviews received at journal 06 Jun, 2024 Reviewers agreed at journal 27 May, 2024 Reviewers agreed at journal 27 May, 2024 Reviewers invited by journal 27 May, 2024 Editor assigned by journal 27 May, 2024 Submission checks completed at journal 26 May, 2024 First submitted to journal 26 May, 2024 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-4479920","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":311268680,"identity":"a4893f4a-2761-4136-af84-3559e3898fd3","order_by":0,"name":"Hanjie Liu","email":"","orcid":"","institution":"Anhui University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Hanjie","middleName":"","lastName":"Liu","suffix":""},{"id":311268684,"identity":"fde42847-2fb9-42a1-b0db-ba57f71333ee","order_by":1,"name":"Zhiying Wang","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAy0lEQVRIiWNgGAWjYPACm/p+ZubDD0jRksY4s50tzYAULYcZN5znUZAgSq38jBzDzwW/0piND/MwGDDU2EQT1MI4I8dYemafDZvZYd4DDxiOpeU2ENLCLJG7QZq3J43H7DBfggFjw2HCWtgkcjf/5u05LGHczGMgQZQWHoncbdI8Pw4bGDATq0WC5/03a96GtASJw8BATiDGL/Ltacm3ef7YJPD3Hz784EONDWEtDAIJwGBrg3ISCCoHAf4DQOIPUUpHwSgYBaNgpAIAtbc8x+2Q12IAAAAASUVORK5CYII=","orcid":"","institution":"Anhui University of Technology","correspondingAuthor":true,"prefix":"","firstName":"Zhiying","middleName":"","lastName":"Wang","suffix":""},{"id":311268685,"identity":"e9682533-db6e-437e-b849-daaafe2933c1","order_by":2,"name":"Hongmei Jia","email":"","orcid":"","institution":"Anhui University of Technology","correspondingAuthor":false,"prefix":"","firstName":"Hongmei","middleName":"","lastName":"Jia","suffix":""}],"badges":[],"createdAt":"2024-05-26 11:56:56","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4479920/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4479920/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s41066-024-00494-2","type":"published","date":"2024-08-23T15:57:15+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":63300606,"identity":"f4f064a5-4de5-4068-afdc-bf8de678795f","added_by":"auto","created_at":"2024-08-26 16:15:31","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":569706,"visible":true,"origin":"","legend":"","description":"","filename":"0526GranularComputing.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4479920/v1_covered_d08fea82-3348-4ea2-8a9e-40a012398251.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"A novel distance measure for probabilistic linguistic term sets with application to emergency decision-making","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":"granular-computing","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"grco","sideBox":"Learn more about [Granular Computing](http://link.springer.com/journal/41066)","snPcode":"41066","submissionUrl":"https://submission.nature.com/new-submission/41066/3","title":"Granular Computing","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Emergency decision-making, Probabilistic linguistic term sets, Distance measure, Consensus reaching, Regret theory","lastPublishedDoi":"10.21203/rs.3.rs-4479920/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4479920/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eThe probabilistic linguistic term sets (PLTSs), as a form of fuzzy language, is capable of effectively expressing the evaluation information of decision-makers (DMs) in emergency decision-making (EDM). 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