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We define some operations on fuzzy coset relations and show that the set of all fuzzy coset relations on a vector space is a vector space, too. We study the union of two fuzzy congruence relations and investigate some its properties. Finally, by using the concepts of a generated subspace of a set and a congruence relation on a vector space, we introduce the notion of a fuzzy congruence relation generated by a fuzzy relation in a vector space.<\/jats:p>","DOI":"10.3233\/jifs-17088","type":"journal-article","created":{"date-parts":[[2018,8,10]],"date-time":"2018-08-10T10:47:35Z","timestamp":1533898055000},"page":"5635-5645","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Fuzzy congruence relation generated by a fuzzy relation in vector spaces"],"prefix":"10.1177","volume":"35","author":[{"given":"S.","family":"Khosravi Shoar","sequence":"first","affiliation":[{"name":"Department of Mathematics, Fasa University, Fasa, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.A.","family":"Borzooei","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shahid Beheshti University, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.","family":"Moradian","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Farhangian University, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2018,8,9]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(88)90101-7"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(67)90189-8"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(77)90233-5"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(92)90097-N"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10462-016-9490-x"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.3233\/IFS-152008"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(84)90050-1"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(89)90077-8"},{"key":"e_1_3_2_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(91)90138-G"},{"key":"e_1_3_2_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(93)90132-6"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00275-9"},{"key":"e_1_3_2_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2017.03.038"},{"key":"e_1_3_2_15_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2016.09.012"},{"key":"e_1_3_2_16_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-014-1528-x"},{"key":"e_1_3_2_17_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-016-2119-9"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-17088","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/JIFS-17088","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/JIFS-17088","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:41:28Z","timestamp":1777455688000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/JIFS-17088"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,8,9]]},"references-count":16,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2018,11,20]]}},"alternative-id":["10.3233\/JIFS-17088"],"URL":"https:\/\/doi.org\/10.3233\/jifs-17088","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,8,9]]}}}