A Power Difference OWA Operator

A Power Difference OWA Operator | 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 Power Difference OWA Operator Mayank Agari, Beulah Rana, Anita Kumari, Amit K. Singh, Vikas Srivastava This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-9518921/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 this research paper, we present a novel and straightforward method for solving Multi-Criteria Decision-Making (MCDM) problems, situations where a decision depends not merely on a single factor but on a multitude of distinct factors. The primary challenge in such scenarios lies in appropriately weighting these various criteria, as this directly influences the final decision. To address this issue, we extend the quantifier-based OWA framework introduced by Yager by developing a Power Difference OWA (PD-OWA) operator. The proposed formulation adopts a discrete difference-based structure, which can be viewed as a natural extension of the classical power quantifier. A key feature of this operator is that the decision-maker can control the nature of the decision, whether adopting an optimistic or pessimistic stance simply by adjusting a single parameter to align with their preferences. Furthermore, this operator has been integrated with the TOPSIS method, thereby rendering the decision-making process more effective and practical. In this paper, the proposed method is applied to a real-world investment decision problem to compare various alternatives. The results obtained demonstrate that the proposed approach is not only simple and easy to implement but also offers greater flexibility and superior control compared to traditional methods. Thus, this approach presents an effective and reliable solution for real-world decision-making problems. Full Text Additional Declarations No competing interests reported. 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-9518921","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":629109848,"identity":"8e8a5ae4-b71a-46e3-b4a8-1a96dfdca6c7","order_by":0,"name":"Mayank Agari","email":"","orcid":"","institution":"Kumaun University Nainital","correspondingAuthor":false,"prefix":"","firstName":"Mayank","middleName":"","lastName":"Agari","suffix":""},{"id":629109849,"identity":"627828a0-8937-46b4-9977-3325c1e4a324","order_by":1,"name":"Beulah Rana","email":"","orcid":"","institution":"Kumaun University Nainital","correspondingAuthor":false,"prefix":"","firstName":"Beulah","middleName":"","lastName":"Rana","suffix":""},{"id":629109850,"identity":"3dc63ae7-6fa3-4b4b-a25f-4fb35647643e","order_by":2,"name":"Anita Kumari","email":"","orcid":"","institution":"Kumaun University Nainital","correspondingAuthor":false,"prefix":"","firstName":"Anita","middleName":"","lastName":"Kumari","suffix":""},{"id":629109851,"identity":"e98ca8cc-d6a2-45f1-9416-0b315de05c66","order_by":3,"name":"Amit K. 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The primary challenge in such scenarios lies in appropriately weighting these various criteria, as this directly influences the final decision. To address this issue, we extend the quantifier-based OWA framework introduced by Yager by developing a Power Difference OWA (PD-OWA) operator. The proposed formulation adopts a discrete difference-based structure, which can be viewed as a natural extension of the classical power quantifier. A key feature of this operator is that the decision-maker can control the nature of the decision, whether adopting an optimistic or pessimistic stance simply by adjusting a single parameter to align with their preferences. Furthermore, this operator has been integrated with the TOPSIS method, thereby rendering the decision-making process more effective and practical. In this paper, the proposed method is applied to a real-world investment decision problem to compare various alternatives. 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