{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:32:05Z","timestamp":1777703525062,"version":"3.51.4"},"reference-count":25,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2018,4,19]],"date-time":"2018-04-19T00:00:00Z","timestamp":1524096000000},"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":[[2018,4,19]]},"abstract":"<jats:p>In this paper, the study of vague soft structures of modules is initiated by introducing the concepts of vague soft module, vague soft module homomorphism and vague soft exactness. In the meantime, some of their properties and structural characteristics are investigated and discussed. Thereafter, several illustrative examples are given.<\/jats:p>","DOI":"10.3233\/jifs-17497","type":"journal-article","created":{"date-parts":[[2018,4,20]],"date-time":"2018-04-20T11:15:40Z","timestamp":1524222940000},"page":"2597-2609","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Vague soft module"],"prefix":"10.1177","volume":"34","author":[{"given":"Serkan","family":"Onar","sequence":"first","affiliation":[{"name":"Department of Mathematics, Yildiz Technical University, Istanbul, Turkey"}]},{"given":"Sanem","family":"Yavuz","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Yildiz Technical University, Istanbul, Turkey"}]},{"given":"Bayram Ali","family":"Ersoy","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Yildiz Technical University, Istanbul, Turkey"}]},{"given":"Kostaq","family":"Hila","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Gjirokastra, Gjirokastra, Albania"}]}],"member":"179","published-online":{"date-parts":[[2018,4,19]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-014-1767-5"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.2991\/ijcis.2017.10.1.57"},{"key":"e_1_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-151652"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(99)00056-5"},{"key":"e_1_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(02)00216-X"},{"key":"e_1_3_1_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2004.10.036"},{"key":"e_1_3_1_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(03)00016-6"},{"issue":"1","key":"e_1_3_1_9_2","first-page":"3029","article-title":"The normal parameter reduction of soft sets and its algoritm","volume":"56","author":"Kong Z.","unstructured":"KongZ., GaoL., WangL. and LiS., The normal parameter reduction of soft sets and its algoritm, Comput Math Appl 56(1), 3029\u20133037.","journal-title":"Comput Math Appl"},{"key":"e_1_3_1_10_2","doi-asserted-by":"crossref","unstructured":"SunQ.-M. ZhangZ.-L. LiuJ. Soft sets and modules In: GuoyinWang Tian-ruiLi Grzymala-BusseJerzy W. MiaoDuoqian SkowronAndrzej YaoYiyu Eds. Rough sets and knowledge technology RSKT Proceedings Springer 2008 pp. 403\u2013409.","DOI":"10.1007\/978-3-540-79721-0_56"},{"key":"e_1_3_1_11_2","article-title":"Soft module theory","author":"Xiang D.","unstructured":"XiangD., Soft module theory, IEEE, 2013, 10th International Conference on Fuzzy Systems and Knowledge Discovery.","journal-title":"IEEE, 2013, 10th International Conference on Fuzzy Systems and Knowledge Discovery"},{"key":"e_1_3_1_12_2","first-page":"311","article-title":"Primary decomposition in a soft ring and soft module","volume":"38","author":"Shah T.","year":"2014","unstructured":"ShahT. and MedhitS., Primary decomposition in a soft ring and soft module, Iranian Journal of Science & Technology 38A3(Special issue-Mathematics) (2014), 311\u2013320.","journal-title":"Iranian Journal of Science & Technology"},{"key":"e_1_3_1_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2008.04.004"},{"issue":"11","key":"e_1_3_1_14_2","first-page":"1005","article-title":"Semantic decision making using ontology-based soft sets","volume":"42","author":"Jiang Y.","year":"2010","unstructured":"JiangY., LiuH., TangY. and ChenQ., Semantic decision making using ontology-based soft sets, Mathematical and Computer Modelling 42(11) (2010), 1005\u20131009.","journal-title":"Mathematical and Computer Modelling"},{"issue":"1","key":"e_1_3_1_15_2","first-page":"1","article-title":"MV- modules in view of soft set theory","volume":"13","author":"Erami A.","year":"2016","unstructured":"EramiA., HassankhaniA. and SaeidA.B., MV- modules in view of soft set theory, \u00c7ankaya University Journal of Science and Engineering 13(1) (2016), 1\u201315.","journal-title":"\u00c7ankaya University Journal of Science and Engineering"},{"key":"e_1_3_1_16_2","doi-asserted-by":"publisher","DOI":"10.1109\/21.229476"},{"key":"e_1_3_1_17_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(95)00154-9"},{"issue":"1","key":"e_1_3_1_18_2","first-page":"153","article-title":"Measures of similarity between vague sets and between elements","volume":"27","author":"Chen S.M.","year":"1997","unstructured":"ChenS.M., Measures of similarity between vague sets and between elements, IEEE Transactions on Systems 27(1) (1997), 153\u2013158.","journal-title":"IEEE Transactions on Systems"},{"issue":"1","key":"e_1_3_1_19_2","first-page":"82","article-title":"Analyzing fuzzy system reliability using vague set theory","volume":"1","author":"Chen S.M.","year":"2003","unstructured":"ChenS.M., Analyzing fuzzy system reliability using vague set theory, Int J Applied Science Engineering 1(1) (2003), 82\u201388.","journal-title":"Int J Applied Science Engineering"},{"key":"e_1_3_1_20_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00271-1"},{"key":"e_1_3_1_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2009.10.015"},{"issue":"4","key":"e_1_3_1_22_2","first-page":"549","article-title":"Possibility vague soft set and its application in decision making","volume":"77","author":"Alhazaymeh K.","year":"2012","unstructured":"AlhazaymehK. and HassanN., Possibility vague soft set and its application in decision making, Int J Pure and Applied Math 77(4) (2012), 549\u2013563.","journal-title":"Int J Pure and Applied Math"},{"issue":"3","key":"e_1_3_1_23_2","first-page":"391","article-title":"Generalized vague soft set and its application","volume":"77","author":"Alhazaymeh K.","year":"2012","unstructured":"AlhazaymehK. and HassanN., Generalized vague soft set and its application, Int J Pure Appl Math 77(3) (2012), 391\u2013401.","journal-title":"Int J Pure Appl Math"},{"key":"e_1_3_1_24_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-141403"},{"key":"e_1_3_1_25_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.03.034"},{"key":"e_1_3_1_26_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\/JIFS-17497","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/JIFS-17497","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-17497","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:38:50Z","timestamp":1777455530000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/JIFS-17497"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,4,19]]},"references-count":25,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2018,4,19]]}},"alternative-id":["10.3233\/JIFS-17497"],"URL":"https:\/\/doi.org\/10.3233\/jifs-17497","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,4,19]]}}}