Multi-Attribute Decision-Making Problem in Career Determination Using Single-Valued Neutrosophic Distance Measure

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This paper introduces a new distance measure for single-valued neutrosophic sets to develop a multi-attribute decision-making methodology for career determination, which is then compared to existing measures.

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This preprint introduces a single-valued neutrosophic distance measure for single-valued neutrosophic sets, presenting it as a generalization of intuitionistic fuzzy distance measures and showing that it satisfies metric axioms while also linking the “distance from unity” to a similarity measure. The authors develop a methodology for multi-attribute decision-making (MADM) in a neutrosophic environment using the smallest distance-measure value to select the most common decision, and they apply it to a student career-determination example to identify the best-suited career for each student. They then compare the proposed distance measure against other distance measures (cited from Majumdar and Samanta and from Chai et al.) for the final decision. A major caveat is that the work is a preprint and not peer reviewed (status: under review). The paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.

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Abstract

Abstract In this paper, we introduce a distance measure on single-valued neutrosophic sets which is a generalization of intuitionistic fuzzy distance measure (Dutta and Goala 2018). This distance measure satisfies the axioms of metric (George F. Simmons 1963) on single-valued neutrosophic sets and shows that the difference of distance measure from unity is a similarity measure. A new methodology on multi-attribute decision-making problems (MADM) is developed for the most common decision by the smallest measure value of the proposed single-valued neutrosophic distance measure. We further apply this distance measure to a multi-attribute decision-making problem (MADM) for student’s career determination in a neutrosophic environment to find the best career for suitable students. Finally, the comparison is made between the proposed distance measure and the other distance measures (Majumdar and Samanta 2014; Chai et al. 2021) for the final decision chosen from the most common decisions of them.
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Multi-Attribute Decision-Making Problem in Career Determination Using Single-Valued Neutrosophic Distance Measure | 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 Multi-Attribute Decision-Making Problem in Career Determination Using Single-Valued Neutrosophic Distance Measure Arockia Dasan M, Little Flower V. F., Tubax X This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-1262496/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 4 You are reading this latest preprint version Abstract In this paper, we introduce a distance measure on single-valued neutrosophic sets which is a generalization of intuitionistic fuzzy distance measure (Dutta and Goala 2018 ). This distance measure satisfies the axioms of metric (George F. Simmons 1963 ) on single-valued neutrosophic sets and shows that the difference of distance measure from unity is a similarity measure. A new methodology on multi-attribute decision-making problems (MADM) is developed for the most common decision by the smallest measure value of the proposed single-valued neutrosophic distance measure. We further apply this distance measure to a multi-attribute decision-making problem (MADM) for student’s career determination in a neutrosophic environment to find the best career for suitable students. Finally, the comparison is made between the proposed distance measure and the other distance measures (Majumdar and Samanta 2014 ; Chai et al. 2021 ) for the final decision chosen from the most common decisions of them. Single-valued neutrosophic sets Single-valued neutrosophic distance measures Multi-attribute decision-making problems Career determination Full Text Cite Share Download PDF Status: Under Review Version 1 posted Reviewers agreed at journal 13 Nov, 2022 Reviewers invited by journal 17 Sep, 2022 Editor assigned by journal 20 Jan, 2022 First submitted to journal 18 Jan, 2022 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. 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