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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2016-7-3-518-522</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-1290</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PAPERS, PRESENTED AT NANO-2015</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>PAPERS, PRESENTED AT NANO-2015</subject></subj-group></article-categories><title-group><article-title>Mathematical modeling for the evaluation of various parameters of 5-methyl salicylaldehyde aniline nano composite using fuzzy evidence theory</article-title><trans-title-group xml:lang="ru"><trans-title>Mathematical modeling for the evaluation of various parameters of 5-methyl salicylaldehyde aniline nano composite using fuzzy evidence theory</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Hepzibah</surname><given-names>R. Irene</given-names></name><name name-style="western" xml:lang="en"><surname>Hepzibah</surname><given-names>R. Irene</given-names></name></name-alternatives><bio xml:lang="ru"><p>Department of Mathematics</p><p>Mayiladuthurai 609305, Tamil Nadu</p></bio><bio xml:lang="en"><p>Department of Mathematics</p><p>Mayiladuthurai 609305, Tamil Nadu</p></bio><email xlink:type="simple">ireneraj74@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Geethalakshmi</surname><given-names>G.</given-names></name><name name-style="western" xml:lang="en"><surname>Geethalakshmi</surname><given-names>G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Department of Mathematics.</p><p>Kumbakonam, Tamil Nadu</p></bio><bio xml:lang="en"><p>Department of Mathematics.</p><p>Kumbakonam, Tamil Nadu</p></bio><email xlink:type="simple">geethavish294@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Malarselvi</surname><given-names>R. Ida</given-names></name><name name-style="western" xml:lang="en"><surname>Malarselvi</surname><given-names>R. Ida</given-names></name></name-alternatives><bio xml:lang="ru"><p>Kumbakonam, Tamil Nadu; Coimbatore – 641046, Tamil Nadu</p></bio><bio xml:lang="en"><p>Kumbakonam, Tamil Nadu; Coimbatore – 641046, Tamil Nadu</p></bio><email xlink:type="simple">idamalaiselvi@gmail.com</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>AVC College of Engineering</institution></aff><aff xml:lang="en"><institution>AVC College of Engineering</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>K.S.K College of Engineering and Technology</institution></aff><aff xml:lang="en"><institution>K.S.K College of Engineering and Technology</institution></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Centre for Advanced Material Research, Government Arts College; Research and Development Centre, Bharathiar University</institution></aff><aff xml:lang="en"><institution>Centre for Advanced Material Research, Government Arts College; Research and Development Centre, Bharathiar University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2016</year></pub-date><pub-date pub-type="epub"><day>20</day><month>08</month><year>2025</year></pub-date><volume>7</volume><issue>3</issue><fpage>518</fpage><lpage>522</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Hepzibah R., Geethalakshmi G., Malarselvi R., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Hepzibah R., Geethalakshmi G., Malarselvi R.</copyright-holder><copyright-holder xml:lang="en">Hepzibah R., Geethalakshmi G., Malarselvi R.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://nanojournal.ifmo.ru/jour/article/view/1290">https://nanojournal.ifmo.ru/jour/article/view/1290</self-uri><abstract><p>Densities, viscosities, surface tension and Ultrasonic speeds of nano composite 5Methyl Salicylaldehyde (5MS) with Aniline (A) were measured over the entire composition range at temperature 303 K. The adiabatic compressibility (β), free length (Lf ), free volume (Vf ) and viscous relaxation time (T ) have been calculated from the experimental data. The experimental results have been correlated using Fuzzy Evidence Theory and the results are interpreted on the basis of possible hydrogen bonding between unlike molecules and changes in molecular association equilibria as well as structural effects for these systems. A good agreement among experimental data and the values estimated by theoretical procedure was obtained.</p></abstract><trans-abstract xml:lang="ru"><p>Densities, viscosities, surface tension and Ultrasonic speeds of nano composite 5Methyl Salicylaldehyde (5MS) with Aniline (A) were measured over the entire composition range at temperature 303 K. The adiabatic compressibility (β), free length (Lf ), free volume (Vf ) and viscous relaxation time (T ) have been calculated from the experimental data. The experimental results have been correlated using Fuzzy Evidence Theory and the results are interpreted on the basis of possible hydrogen bonding between unlike molecules and changes in molecular association equilibria as well as structural effects for these systems. A good agreement among experimental data and the values estimated by theoretical procedure was obtained.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>5-MS-A composite material</kwd><kwd>hydrogen bonding</kwd><kwd>acoustical and physical parameters</kwd><kwd>Fuzzy Evidence Theory</kwd></kwd-group><kwd-group xml:lang="en"><kwd>5-MS-A composite material</kwd><kwd>hydrogen bonding</kwd><kwd>acoustical and physical parameters</kwd><kwd>Fuzzy Evidence Theory</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">This work was financially supported by University Grants Commission, Govt of India, New Delhi, within the Minor Research Project scheme under the approval cum sanction No.F MRP-5150/14 (SERO/UGC). All the spectral data were obtained from SAIF, Indian Institute of Technology, Chennai</funding-statement><funding-statement xml:lang="en">This work was financially supported by University Grants Commission, Govt of India, New Delhi, within the Minor Research Project scheme under the approval cum sanction No.F MRP-5150/14 (SERO/UGC). All the spectral data were obtained from SAIF, Indian Institute of Technology, Chennai</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">G.M. Badger and A.G. Moritz. Spectrachimica Acta. Pergamon Press Ltd, 1959, 9, P. 672–678.</mixed-citation><mixed-citation xml:lang="en">G.M. Badger and A.G. Moritz. Spectrachimica Acta. Pergamon Press Ltd, 1959, 9, P. 672–678.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">J.C. Evans. 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