{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:35:37Z","timestamp":1777703737013,"version":"3.51.4"},"reference-count":13,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2015,11,23]],"date-time":"2015-11-23T00:00:00Z","timestamp":1448236800000},"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":[[2016,3]]},"abstract":"<jats:p>\n                    In this paper, first we investigate some properties of\n                    <jats:italic>L<\/jats:italic>\n                    -ordered groups such as\n                    <jats:italic>L<\/jats:italic>\n                    -subgroup generated by an arbitrary subset and product of\n                    <jats:italic>L<\/jats:italic>\n                    -ordered groups. Then we introduce the notions of totally\n                    <jats:italic>L<\/jats:italic>\n                    -ordered group and strong totally\n                    <jats:italic>L<\/jats:italic>\n                    -ordered group, where\n                    <jats:italic>L<\/jats:italic>\n                    is a frame and some related results are obtained. We show that the set of all isomorphisms on a totally\n                    <jats:italic>L<\/jats:italic>\n                    -subgroup, forms an\n                    <jats:italic>L<\/jats:italic>\n                    -ordered group. Moreover, if it is a strong totally\n                    <jats:italic>L<\/jats:italic>\n                    -ordered group, then the set of all isomorphisms on it is an\n                    <jats:italic>L<\/jats:italic>\n                    -lattice ordered group.\n                  <\/jats:p>","DOI":"10.3233\/ifs-151856","type":"journal-article","created":{"date-parts":[[2016,3,1]],"date-time":"2016-03-01T10:45:16Z","timestamp":1456829116000},"page":"1489-1498","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["(Totally)\n                    <i>L<\/i>\n                    -ordered Groups"],"prefix":"10.1177","volume":"30","author":[{"given":"R.A.","family":"Borzooei","sequence":"first","affiliation":[{"name":"Department of Mathematics, Shahid Beheshti University, G. C., Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"F.","family":"Hosseini","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shahid Beheshti University, G. C., Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"O.","family":"Zahiri","sequence":"additional","affiliation":[{"name":"University of Applied Science and Technology, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2015,11,23]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-2871-8"},{"key":"e_1_3_1_3_2","volume-title":"Lattices and Ordered Algebraic Structures","author":"Blyth T.S.","year":"2005","unstructured":"BlythT.S., Lattices and Ordered Algebraic Structures, Springer-Verlag, 2005."},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2015.03.072"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/S1571-0661(04)80956-3"},{"key":"e_1_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.1142\/3811"},{"key":"e_1_3_1_7_2","unstructured":"JohnstoneP.T. Stone Spaces Cambridge University Press Cambridge 1982."},{"key":"e_1_3_1_8_2","volume-title":"Fuzzy Sets and Fuzzy Logic, Theory and Applications","author":"Klir G.J.","year":"1995","unstructured":"KlirG.J. and YuanB., Fuzzy Sets and Fuzzy Logic, Theory and Applications, Prentice-Hall, Upper Saddle River, 1995."},{"key":"e_1_3_1_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2010.11.003"},{"key":"e_1_3_1_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(81)90023-3"},{"key":"e_1_3_1_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(92)90134-P"},{"key":"e_1_3_1_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2010.11.010"},{"key":"e_1_3_1_13_2","doi-asserted-by":"publisher","DOI":"10.1002\/malq.200710079"},{"key":"e_1_3_1_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2005.01.007"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/IFS-151856","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/IFS-151856","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/IFS-151856","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:39:27Z","timestamp":1777455567000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/IFS-151856"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,11,23]]},"references-count":13,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2016,3]]}},"alternative-id":["10.3233\/IFS-151856"],"URL":"https:\/\/doi.org\/10.3233\/ifs-151856","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,11,23]]}}}