{"paper_id":"00e08e67-b6aa-45c8-a9f6-154f27cb13a7","body_text":"A multi attribute decision making framework based on partitioned dual Maclaurin symmetric mean operators under Fermatean fuzzy environment | 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 multi attribute decision making framework based on partitioned dual Maclaurin symmetric mean operators under Fermatean fuzzy environment Susmita Roy This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4860437/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 In information aggregation, a typical averaging mean called the partitioned dual Maclaurin symmetric mean (PDMSM) operator has drawn a lot of interest. All attributes are categorized into many partitions as a precondition for PDMSM, and attributes inside a partition are pertinent to other characteristics within the same group, whereas attributes situated in various groups are unrelated. On the other hand, no research on the partitioned dual MSM operator under Fermatean fuzzy set has yet been published. To bridge this gap, this study develops the FFPDMSM and FFWPDMSM operators with respect to FFNs and proposes a multi attribute decision making (MADM) framework employing PDMSM operator in Fermatean fuzzy environment. In the interim, a few theorems, properties and specific instances of the FFPDMSM and FFWPDMSM operators of FFNs have been examined. Lastly, a realistic numerical illustration is demonstrated to validate the proposed approach and to carry the sensitivity and comparative analysis. Computational Mathematics MSM operator Fermatean fuzzy set (FFS) Dual MSM Partitioned dual MSM MADM and facility site selection problem. Full Text Additional Declarations The authors declare no competing interests. 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-4860437\",\"acceptedTermsAndConditions\":true,\"allowDirectSubmit\":true,\"archivedVersions\":[],\"articleType\":\"Research Article\",\"associatedPublications\":[],\"authors\":[{\"id\":336019756,\"identity\":\"745cce2a-4ce8-428b-8e4b-eb0bc4427c39\",\"order_by\":0,\"name\":\"Susmita Roy\",\"email\":\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA9klEQVRIiWNgGAWjYLCCBCSGHIg+8ICglgQEwxisJQGnWizWJDagCGAB8jPSn254+MMun18ige0BkJE+P+zwQ6AtdnK6Ddi1GNzIMbuRkJBsOXNGArsBkJG78XaaAVBLsrHZARxaJHLYgFqYDQxuJLBJABm5G2cngLQcSNyGQwvQYc+AWuphWurTDWenf8CrheFGAshhh2FaDifIS+fgt8XgzBuglrTjBpI9D9skgAzDDdI5BQcSDHD7Rb49/dnNHzbVBvzsycckgQx5+dnpmz98qLCTw6UFAQQgMcJgAFZpQEg5CPBDDZVvIEb1KBgFo2AUjCQAAHCrYzE7MiXFAAAAAElFTkSuQmCC\",\"orcid\":\"\",\"institution\":\"NIT Agartala\",\"correspondingAuthor\":true,\"prefix\":\"\",\"firstName\":\"Susmita\",\"middleName\":\"\",\"lastName\":\"Roy\",\"suffix\":\"\"}],\"badges\":[],\"createdAt\":\"2024-08-05 08:34:19\",\"currentVersionCode\":1,\"declarations\":{\"humanSubjects\":false,\"vertebrateSubjects\":false,\"conflictsOfInterestStatement\":false,\"humanSubjectEthicalGuidelines\":false,\"humanSubjectConsent\":false,\"humanSubjectClinicalTrial\":false,\"humanSubjectCaseReport\":false,\"vertebrateSubjectEthicalGuidelines\":false},\"doi\":\"10.21203/rs.3.rs-4860437/v1\",\"doiUrl\":\"https://doi.org/10.21203/rs.3.rs-4860437/v1\",\"draftVersion\":[],\"editorialEvents\":[],\"editorialNote\":\"\",\"failedWorkflow\":false,\"files\":[{\"id\":61966411,\"identity\":\"a86fa664-b915-4e4b-83c1-01a69b4e1ff4\",\"added_by\":\"auto\",\"created_at\":\"2024-08-07 15:40:10\",\"extension\":\"pdf\",\"order_by\":1,\"title\":\"\",\"display\":\"\",\"copyAsset\":false,\"role\":\"manuscript-pdf\",\"size\":432158,\"visible\":true,\"origin\":\"\",\"legend\":\"\",\"description\":\"\",\"filename\":\"FFPDMSMmanuscript.pdf\",\"url\":\"https://assets-eu.researchsquare.com/files/rs-4860437/v1_covered_3fc1111a-2abe-489e-8408-d7f2873a3cc5.pdf\"}],\"financialInterests\":\"The authors declare no competing interests.\",\"formattedTitle\":\"\\u003cp\\u003e\\u003cstrong\\u003eA multi attribute decision making framework based on partitioned dual Maclaurin symmetric mean operators under Fermatean fuzzy environment\\u003c/strong\\u003e\\u003c/p\\u003e\",\"fulltext\":[],\"fulltextSource\":\"\",\"fullText\":\"\",\"funders\":[],\"hasAdminPriorityOnWorkflow\":false,\"hasManuscriptDocX\":false,\"hasOptedInToPreprint\":true,\"hasPassedJournalQc\":\"\",\"hasAnyPriority\":true,\"hideJournal\":true,\"highlight\":\"\",\"institution\":\"NIT Agartala\",\"isAcceptedByJournal\":false,\"isAuthorSuppliedPdf\":true,\"isDeskRejected\":\"\",\"isHiddenFromSearch\":false,\"isInQc\":false,\"isInWorkflow\":false,\"isPdf\":true,\"isPdfUpToDate\":true,\"isWithdrawnOrRetracted\":false,\"journal\":{\"display\":true,\"email\":\"info@researchsquare.com\",\"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\":\"MSM operator, Fermatean fuzzy set (FFS), Dual MSM, Partitioned dual MSM, MADM, and facility site selection problem.\",\"lastPublishedDoi\":\"10.21203/rs.3.rs-4860437/v1\",\"lastPublishedDoiUrl\":\"https://doi.org/10.21203/rs.3.rs-4860437/v1\",\"license\":{\"name\":\"CC BY 4.0\",\"url\":\"https://creativecommons.org/licenses/by/4.0/\"},\"manuscriptAbstract\":\"\\u003cp\\u003eIn information aggregation, a typical averaging mean called the partitioned dual Maclaurin symmetric mean (PDMSM) operator has drawn a lot of interest. 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