{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,2]],"date-time":"2026-02-02T11:39:31Z","timestamp":1770032371633,"version":"3.49.0"},"reference-count":30,"publisher":"SAGE Publications","issue":"5","license":[{"start":{"date-parts":[[2021,4,10]],"date-time":"2021-04-10T00:00:00Z","timestamp":1618012800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2021,11,17]]},"abstract":"<jats:p>\n                    This paper introduces the concept of homomorphism on fuzzy hyperlattice ordered group\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mo>(<\/mml:mo>\n                        <mml:mi mathvariant=\"script\">FHLOG<\/mml:mi>\n                        <mml:mo>)<\/mml:mo>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    . It studies how the binary and the fuzzy hyperoperations of a\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mi mathvariant=\"script\">FHLOG<\/mml:mi>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    can be transformed into the binary and the fuzzy hyperoperations of another\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mi mathvariant=\"script\">FHLOG<\/mml:mi>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    . The notion of fuzzy hypercongruence relation on\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mi mathvariant=\"script\">FHLOG<\/mml:mi>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    is also defined. The paper also establishes the redox reaction of copper, gold and americium forms three\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mi mathvariant=\"script\">FHLOG<\/mml:mi>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    s. Besides, homomorphism and composition function of\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mi mathvariant=\"script\">FHLOG<\/mml:mi>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    s using the redox reactions are developed. Therefore, the paper develops a relation among three different metal\u2019s redox reactions in which the binary and the fuzzy hyperoperations, are preserved.\n                  <\/jats:p>","DOI":"10.3233\/jifs-189888","type":"journal-article","created":{"date-parts":[[2021,4,13]],"date-time":"2021-04-13T22:12:09Z","timestamp":1618351929000},"page":"5691-5699","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Redox reaction on homomorphism of fuzzy hyperlattice ordered group"],"prefix":"10.1177","volume":"41","author":[{"given":"D.","family":"Preethi","sequence":"first","affiliation":[{"name":"Department of Mathematics, Alagappa University, Tamilnadu, India"}]},{"given":"J.","family":"Vimala","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Alagappa University, Tamilnadu, India"}]}],"member":"179","published-online":{"date-parts":[[2021,4,10]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.2307\/1968871"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10472-009-9146-5"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3714-1"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-14762-8"},{"key":"e_1_3_2_6_2","volume-title":"Hyperring Theory and Applications","author":"Davvaz B.","year":"2007","unstructured":"DavvazB., Leoreanu-FoteaV., Hyperring Theory and Applications, International Academic Press, USA, 2007."},{"key":"e_1_3_2_7_2","volume-title":"A Walk Through Weak Hyperstructures- Hv-Structure","author":"Davvaz B.","year":"2019","unstructured":"DavvazB., VougiouklisT., A Walk Through Weak Hyperstructures- Hv-Structure, World Scientific Publishing Co. 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