{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:30:03Z","timestamp":1777703403678,"version":"3.51.4"},"reference-count":14,"publisher":"SAGE Publications","issue":"5","license":[{"start":{"date-parts":[[2015,7,29]],"date-time":"2015-07-29T00:00:00Z","timestamp":1438128000000},"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":[[2015,7,29]]},"abstract":"<jats:p>In this paper, we examine the group structure of single valued neutrosophic sets. We introduce an approach to neutrosophic subgroup and establish some of its basic properties and characterizations. Then we give the homomorphic image and preimage of a neutrosophic (normal) subgroup.<\/jats:p>","DOI":"10.3233\/ifs-151672","type":"journal-article","created":{"date-parts":[[2015,11,10]],"date-time":"2015-11-10T11:35:37Z","timestamp":1447155337000},"page":"1941-1947","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":20,"title":["An approach to neutrosophic subgroup and its fundamental properties"],"prefix":"10.1177","volume":"29","author":[{"given":"Vildan","family":"\u00c7etkin","sequence":"first","affiliation":[{"name":"Department of Mathematics, Kocaeli University, Umuttepe Campus, Kocaeli, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Halis","family":"Ayg\u00fcn","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Kocaeli University, Umuttepe Campus, Kocaeli, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2015,8]]},"reference":[{"issue":"10","key":"e_1_3_1_2_2","first-page":"225","article-title":"Fuzzy neutrosophic soft topological spaces","volume":"4","author":"Arockiarani I","year":"2013","unstructured":"Arockiarani I, Sumathi IR, Martina Jency J 2013 Fuzzy neutrosophic soft topological spaces International Journal of Mathematical Arhchive 4 10 225 238","journal-title":"International Journal of Mathematical Arhchive"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-130965"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-130810"},{"key":"e_1_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.15373\/22778179\/August2014\/68"},{"issue":"53","key":"e_1_3_1_7_2","first-page":"2619","article-title":"A study on intuitionistic L-fuzzy subgroups","volume":"3","author":"Palaniappan N","year":"2009","unstructured":"Palaniappan N, Naganathan S, Arjunan K 2009 A study on intuitionistic L-fuzzy subgroups Applied Mathematical Sciences 3 53 2619 2624","journal-title":"Applied Mathematical Sciences"},{"key":"e_1_3_1_8_2","first-page":"512","article-title":"Fuzzy groups","volume":"35","author":"Rosenfeld A","year":"1971","unstructured":"Rosenfeld A 1971 Fuzzy groups J Math Appl 35 512 517","journal-title":"J Math Appl"},{"key":"e_1_3_1_9_2","doi-asserted-by":"publisher","DOI":"10.9790\/5728-0343135"},{"key":"e_1_3_1_10_2","first-page":"13","article-title":"Soft neutrosophic group","volume":"1","author":"Shabir M","year":"2013","unstructured":"Shabir M, Ali M, Naz M, Smarandache F 2013 Soft neutrosophic group Neutrosophic Sets and Systems 1 13 25","journal-title":"Neutrosophic Sets and Systems"},{"key":"e_1_3_1_11_2","unstructured":"Smarandache F 1999 A unifying field in logics Neutrosophy: Neutrosophic Probability Set and Logic Rehoboth: American Research Press"},{"key":"e_1_3_1_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(86)90077-1"},{"key":"e_1_3_1_13_2","unstructured":"Wang H 2005 Single valued neutrosophic sets Proc of 10th Int Conf on Fuzzy Theory and Technology Salt Lake City Utah"},{"key":"e_1_3_1_14_2","first-page":"40","article-title":"The intuitionistic normal fuzzy subgroup and its some equivalent propositions","volume":"82","author":"Xiaoping L","year":"2000","unstructured":"Xiaoping L 2000 The intuitionistic normal fuzzy subgroup and its some equivalent propositions BUSEFAL 82 40 44","journal-title":"BUSEFAL"},{"key":"e_1_3_1_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/IFS-151672","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/IFS-151672","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/IFS-151672","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:38:38Z","timestamp":1777455518000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/IFS-151672"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,7,29]]},"references-count":14,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2015,7,29]]}},"alternative-id":["10.3233\/IFS-151672"],"URL":"https:\/\/doi.org\/10.3233\/ifs-151672","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,7,29]]}}}