{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:44:31Z","timestamp":1777704271918,"version":"3.51.4"},"reference-count":14,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2018,8,14]],"date-time":"2018-08-14T00:00:00Z","timestamp":1534204800000},"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 & Fuzzy Systems"],"published-print":{"date-parts":[[2018,10]]},"abstract":"\n In this paper, we build a metric semi-linear space\n \n \n \n L<\/mml:mi>\n G<\/mml:mi>\n *<\/mml:mo>\n <\/mml:msubsup>\n <\/mml:math>\n <\/jats:inline-formula>\n for lattice intuitionistic fuzzy numbers (LIFNs). We give new concepts of some operations, for example, a geometric binary addition operation, a nonnegative multiplication operation, geometric differences, and propose a new formula to calculate the derivative and integral of geometric lattice intuitionistic fuzzy functions in\n \n \n \n L<\/mml:mi>\n G<\/mml:mi>\n *<\/mml:mo>\n <\/mml:msubsup>\n <\/mml:math>\n <\/jats:inline-formula>\n , we introduce and establish the positive solutions of the initial value problem for geometric lattice intuitionistic fuzzy differential equation (IVP for GLIFDE), and additionally show several practical applications in this semi-linear space with the medical intuitionistic fuzzy models.\n <\/jats:p>","DOI":"10.3233\/jifs-172027","type":"journal-article","created":{"date-parts":[[2018,8,14]],"date-time":"2018-08-14T15:54:56Z","timestamp":1534262096000},"page":"3347-3358","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["The geometric lattice intuitionistic fuzzy functions and applications"],"prefix":"10.1177","volume":"35","author":[{"given":"Nguyen Dinh","family":"Phu","sequence":"first","affiliation":[{"name":"Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam"},{"name":"Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam"}]},{"given":"Nguyen Nhut","family":"Hung","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics and Computer Science, University of Science, VNU Ho Chi Minh City, Vietnam"}]}],"member":"179","published-online":{"date-parts":[[2018,8,14]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10700-016-9239-7"},{"key":"e_1_3_2_3_2","author":"Atanassov K.T.","year":"1983","unstructured":"K.T.Atanassov, Intuitionistic fuzzy sets, VII ITKR's Session, Sofia, 1983.","journal-title":"Intuitionistic fuzzy sets, VII ITKR's Session"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1080\/00207720500382365"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0888-613X(03)00072-0"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00235-8"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2009.03.045"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(67)90189-8"},{"key":"e_1_3_2_10_2","article-title":"Introduction to interval analysis","author":"Moore R.E.","year":"2009","unstructured":"R.E.Moore, R.B.Kearfott and M.J.Cloud, Introduction to interval analysis, So for Ind and App Math Philadelphia, SIAM (2009).","journal-title":"So for Ind and App Math Philadelphia, SIAM"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1080\/03081070600574353"},{"key":"e_1_3_2_12_2","first-page":"34","article-title":"Intuitionistic fuzzy multisets and its application in medical diagnosis","volume":"6","author":"Shinoj T.K.","year":"2012","unstructured":"T.K.Shinoj and J.J.Sunil, Intuitionistic fuzzy multisets and its application in medical diagnosis, Int J ofMathematical, Computational, Physical, Electrical and Computer Engineering 6 (2012), 34\u201338.","journal-title":"Int J ofMathematical, Computational, Physical, Electrical and Computer Engineering"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.2307\/2274139"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1970-0273405-5"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"}],"container-title":["Journal of Intelligent & Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-172027","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/JIFS-172027","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-172027","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:40:50Z","timestamp":1777455650000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/JIFS-172027"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,8,14]]},"references-count":14,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2018,10]]}},"alternative-id":["10.3233\/JIFS-172027"],"URL":"https:\/\/doi.org\/10.3233\/jifs-172027","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,8,14]]}}}