Power Muirhead Mean Operators of Interval-Valued Intuitionistic Fuzzy Values in the Framework of Dempster-Shafer Theory for Multiple Criteria Decision-Making

Power Muirhead Mean Operators of Interval-Valued Intuitionistic Fuzzy Values in the Framework of Dempster-Shafer Theory for Multiple Criteria 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 Power Muirhead Mean Operators of Interval-Valued Intuitionistic Fuzzy Values in the Framework of Dempster-Shafer Theory for Multiple Criteria Decision-Making Yanru Zhong, Huanan Zhang, Liangbin Cao, Yiyuan Li, Yuchu Qin, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-1038177/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 5 You are reading this latest preprint version Abstract There have been many aggregation operators of interval intuitionistic fuzzy values (IVIFVs) for solving multiple criteria decision-making problems with IVIFVs. Each of these operators can work well in its specific context. However, they could generate irrational sorting results because of a few limitations. In this paper, two novel power Muirhead mean operators of IVIFVs under the Dempster-Shafer theory framework which are free of the limitations of existing operators of IVIFVs are presented. The expressions of these operators are first constructed. Then their mathematical properties are studied and proved. After that, a method to solve multiple criteria decision-making problems with IVIFVs is proposed based on the presented operators. Finally, a practical example is introduced to illustrate the application of the proposed method and several qualitative comparisons to some existing operators of IVIFVs are carried out to demonstrate the effectiveness and advantages of the proposed method. Interval-valued intuitionistic fuzzy value Dempster-Shafer theory Multiple criteria decision-making Power average operator Muirhead mean operator Full Text Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Major Revision 07 Apr, 2022 Reviews received at journal 31 Jan, 2022 Reviewers invited by journal 31 Jan, 2022 Editor assigned by journal 23 Nov, 2021 First submitted to journal 31 Oct, 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. 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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-1038177","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":80400483,"identity":"24f5e63c-c101-430f-9fc8-0261794a0fd1","order_by":0,"name":"Yanru Zhong","email":"","orcid":"","institution":"GUET: Guilin University of Electronic Technology","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Yanru","middleName":"","lastName":"Zhong","suffix":""},{"id":80400484,"identity":"9008049d-3ced-4ca1-9f5b-a29caecd17e1","order_by":1,"name":"Huanan 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