Multicriteria q-Rung Orthopair Fuzzy Decision Analysis: A Novel Approach Based on Archimedean Aggregation Operators with the Confidence Levels

Multicriteria q-Rung Orthopair Fuzzy Decision Analysis: A Novel Approach Based on Archimedean Aggregation Operators with the Confidence Levels | 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 Multicriteria q-Rung Orthopair Fuzzy Decision Analysis: A Novel Approach Based on Archimedean Aggregation Operators with the Confidence Levels Yabin Shao, Ning Wang, Zengtai Gong This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-1059359/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 05 Feb, 2022 Read the published version in Soft Computing → Version 1 posted 5 You are reading this latest preprint version Abstract The confidence levels can reduce the influence of the unreasonable evaluation value was given by the decision maker on the decision-making results. The Archimedean t-norm and t-conorm (ATS) also have many advantages for the processing of uncertain data. Under this environment, the confidence q-rung orthopair fuzzy aggregation operators based on ATS is one of the most successful extensions of confidence q-rung orthopair fuzzy numbers (Cq-ROFNs) in which decrease the deviation caused by the subjective perspective of the decision maker in the multicriteria group decision-making (MCGDM) problems. In this paper, we propose weighted, ordered weighted averaging aggregation operators and weighted, ordered weighted geometric aggregation operators based on ATS, respectively. Moreover, the properties and four specific forms associated with aggregation operators are also investigated. In this study, a novel MCGDM approach is introduced by using the proposed operator. A reasonable example is proposed and compared the results which are obtained by our operators and that in existing literature, so as to verify the rationality and flexible of our method. From the study, we concluded that the proposed method can reduce the impact of extreme data, and makes decision-making results more reasonable by considering the attitudes of decision-makers. Theoretical Computer Science Nonstandard fuzzy sets Confidence q-rung orthopair fuzzy sets Archimedean t-norm and t-conorm Aggregation operator Multicriteria group decision-making Full Text Cite Share Download PDF Status: Published Journal Publication published 05 Feb, 2022 Read the published version in Soft Computing → Version 1 posted Editorial decision: Accept 08 Jan, 2022 Reviews received at journal 07 Jan, 2022 Reviewers invited by journal 07 Jan, 2022 Editor assigned by journal 08 Nov, 2021 First submitted to journal 07 Nov, 2021 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-1059359","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":75035717,"identity":"b0fd98d0-b541-4029-89aa-542ff1053ad8","order_by":0,"name":"Yabin Shao","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA0ElEQVRIiWNgGAWjYDACCSBmbLCBcZmJ1pLGAKZI0XKYBC3ys5sfPubdcV6e70bu8QcMFdaJDexnD+DVYnDnmLEx75nbhjNv5CU2MJxJT2zgyUvAr0UiwUyat+12gsGNHMMGxrbDiQ0SPAb4HTYj/RtQyzmoln9EaGG4kQOy5QBUSwMRWoAqiw3nnkk2nHnmXeKMhGPpxm08OQQdtvHB2x128nzHcw98+FBjLdvPfoaAw4CAiQdEHgCSCUCajaB6IGD8AdMyCkbBKBgFowAbAACnvEmHRoRxygAAAABJRU5ErkJggg==","orcid":"https://orcid.org/0000-0003-1001-7132","institution":"Chongqing University of Posts and Telecommunications","correspondingAuthor":true,"prefix":"","firstName":"Yabin","middleName":"","lastName":"Shao","suffix":""},{"id":75035718,"identity":"069b8b76-33c8-40c5-8ae8-5448e00c1649","order_by":1,"name":"Ning Wang","email":"","orcid":"","institution":"Chongqing University of Posts and Telecommunications","correspondingAuthor":false,"prefix":"","firstName":"Ning","middleName":"","lastName":"Wang","suffix":""},{"id":75035719,"identity":"5d0d1731-68eb-47f5-9f65-fbfb639d8aab","order_by":2,"name":"Zengtai Gong","email":"","orcid":"","institution":"Northwest Normal University","correspondingAuthor":false,"prefix":"","firstName":"Zengtai","middleName":"","lastName":"Gong","suffix":""}],"badges":[],"createdAt":"2021-11-08 06:07:34","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-1059359/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-1059359/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s00500-022-06776-8","type":"published","date":"2022-02-05T05:51:06+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":17957288,"identity":"5a4ade16-2c90-4f92-a455-75f04b9fce99","added_by":"auto","created_at":"2022-02-05 05:51:22","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":3988443,"visible":true,"origin":"","legend":"","description":"","filename":"SOCOD2002554R1reviewer.pdf","url":"https://assets-eu.researchsquare.com/files/rs-1059359/v1_covered.pdf"},{"id":17167747,"identity":"31e67d0b-74f1-46f2-9c63-cda919ca2038","added_by":"auto","created_at":"2022-01-10 15:42:01","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":3983149,"visible":true,"origin":"","legend":"","description":"","filename":"SOCOD2002554R1reviewer.pdf","url":"https://assets-eu.researchsquare.com/files/rs-1059359/v1_covered.pdf"}],"financialInterests":"","formattedTitle":"\u003cp\u003eMulticriteria q-Rung Orthopair Fuzzy Decision Analysis: A Novel Approach Based on Archimedean Aggregation Operators with the Confidence Levels\u003c/p\u003e","fulltext":[{"header":"Full Text","content":"This preprint is available for \u003ca href='/article/rs-1059359/latest.pdf' target='_blank'\u003edownload as a PDF\u003c/a\u003e."}],"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":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"soft-computing","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"soco","sideBox":"Learn more about [Soft Computing](https://www.springer.com/journal/500)","snPcode":"500","submissionUrl":"https://submission.nature.com/new-submission/500/3","title":"Soft Computing","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Nonstandard fuzzy sets, Confidence q-rung orthopair fuzzy sets, Archimedean t-norm and t-conorm, Aggregation operator, Multicriteria group decision-making","lastPublishedDoi":"10.21203/rs.3.rs-1059359/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-1059359/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"The confidence levels can reduce the influence of the unreasonable evaluation value was given by the decision maker on the decision-making results. The Archimedean t-norm and t-conorm (ATS) also have many advantages for the processing of uncertain data. Under this environment, the confidence q-rung orthopair fuzzy aggregation operators based on ATS is one of the most successful extensions of confidence q-rung orthopair fuzzy numbers (Cq-ROFNs) in which decrease the deviation caused by the subjective perspective of the decision maker in the multicriteria group decision-making (MCGDM) problems. In this paper, we propose weighted, ordered weighted averaging aggregation operators and weighted, ordered weighted geometric aggregation operators based on ATS, respectively. Moreover, the properties and four specific forms associated with aggregation operators are also investigated. In this study, a novel MCGDM approach is introduced by using the proposed operator. A reasonable example is proposed and compared the results which are obtained by our operators and that in existing literature, so as to verify the rationality and flexible of our method. From the study, we concluded that the proposed method can reduce the impact of extreme data, and makes decision-making results more reasonable by considering the attitudes of decision-makers.","manuscriptTitle":"Multicriteria q-Rung Orthopair Fuzzy Decision Analysis: A Novel Approach Based on Archimedean Aggregation Operators with the Confidence Levels","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2022-01-10 15:36:20","doi":"10.21203/rs.3.rs-1059359/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Accept","date":"2022-01-08T10:06:51+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2022-01-08T02:22:55+00:00","index":0,"fulltext":""},{"type":"reviewersInvited","content":"","date":"2022-01-07T17:19:46+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2021-11-08T08:21:28+00:00","index":"","fulltext":""},{"type":"submitted","content":"Soft Computing","date":"2021-11-08T01:07:13+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"soft-computing","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"soco","sideBox":"Learn more about [Soft Computing](https://www.springer.com/journal/500)","snPcode":"500","submissionUrl":"https://submission.nature.com/new-submission/500/3","title":"Soft Computing","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false}}],"origin":"","ownerIdentity":"3224f0ec-73a1-491c-80d0-d4b6a1a006e9","owner":[],"postedDate":"January 10th, 2022","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[{"id":9619750,"name":"Theoretical Computer Science"}],"tags":[],"updatedAt":"2022-02-05T05:51:06+00:00","versionOfRecord":{"articleIdentity":"rs-1059359","link":"https://doi.org/10.1007/s00500-022-06776-8","journal":{"identity":"soft-computing","isVorOnly":false,"title":"Soft Computing"},"publishedOn":"2022-02-05 05:51:06","publishedOnDateReadable":"February 5th, 2022"},"versionCreatedAt":"2022-01-10 15:36:20","video":"","vorDoi":"10.1007/s00500-022-06776-8","vorDoiUrl":"https://doi.org/10.1007/s00500-022-06776-8","workflowStages":[]},"version":"v1","identity":"rs-1059359","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-1059359","identity":"rs-1059359","version":["v1"]},"buildId":"B-jG_2CBjPDmsCi4Wdhf-","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}