Optimal Bounds for Fully Fuzzy Transportation Problems: A Parametric Approach

Optimal Bounds for Fully Fuzzy Transportation Problems: A Parametric Approach | 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 Optimal Bounds for Fully Fuzzy Transportation Problems: A Parametric Approach K Shalini, T. D. Rao This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3890262/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 This article presents an algorithm for addressing optimization problems using fuzzy sets. Fuzzy optimization refers to the process of optimizing in a fuzzy environment, specifically involving optimization with fuzzy constraints. We have simplified this problem by employing the parametric technique, which transforms a fuzzy set into a collection of ordinary sets. As a result, we have converted it into a family of conventional optimization problems. The Vogel's Approximation Method (VAM) has been utilized to determine the best optimal solution for the fuzzy transportation problem. In addition, we employed the exact optimal solution to guarantee the accuracy of the acquired results. Fuzzy number Triangular Fuzzy Number Parametric Technique Transportation Problem Vogel`s Approximation Method 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-3890262","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":269959636,"identity":"79ba9bc5-a1eb-47a0-ab2e-8631134c64e9","order_by":0,"name":"K Shalini","email":"","orcid":"","institution":"Vellore Institute of Technology University","correspondingAuthor":false,"prefix":"","firstName":"K","middleName":"","lastName":"Shalini","suffix":""},{"id":269959637,"identity":"f203ba18-2584-4b51-bc53-8e7e22b5605f","order_by":1,"name":"T. D. 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