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Moreover, we introduce the [Formula: see text]-fuzzy rough LO-proximity spaces and study some of its basic properties. An adequate number of examples support the study. <\/jats:p>","DOI":"10.1142\/s1793005725500334","type":"journal-article","created":{"date-parts":[[2024,3,22]],"date-time":"2024-03-22T15:09:05Z","timestamp":1711120145000},"page":"709-721","source":"Crossref","is-referenced-by-count":0,"title":["L-Fuzzy Rough Proximity Spaces and Their Relationship with L-Fuzzy Rough Grills"],"prefix":"10.1142","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8269-0807","authenticated-orcid":false,"given":"Surabhi","family":"Tiwari","sequence":"first","affiliation":[{"name":"Department of Mathematics, Motilal Nehru National, Institute of Technology Allahabad, Prayagraj 211004, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0005-0764-0056","authenticated-orcid":false,"given":"Virendra","family":"Kumar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Motilal Nehru National, Institute of Technology Allahabad, Prayagraj 211004, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2024,5,7]]},"reference":[{"key":"S1793005725500334BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"S1793005725500334BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(68)90057-7"},{"key":"S1793005725500334BIB003","first-page":"925","volume":"278","author":"Lowen R.","year":"1974","journal-title":"Comptes Rendus de l\u2019 Academie des Sciences Paris"},{"key":"S1793005725500334BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(79)90102-1"},{"issue":"2","key":"S1793005725500334BIB005","first-page":"57","volume":"36","author":"Khare M.","year":"2006","journal-title":"Novi Sad Journal of Mathematics"},{"key":"S1793005725500334BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2007.10.007"},{"key":"S1793005725500334BIB007","doi-asserted-by":"publisher","DOI":"10.1007\/BF01001956"},{"key":"S1793005725500334BIB008","doi-asserted-by":"publisher","DOI":"10.1080\/03081079008935107"},{"issue":"3","key":"S1793005725500334BIB009","first-page":"1","volume":"11","author":"Ji W.","year":"2021","journal-title":"Data Mining and Knowledge Discovery"},{"key":"S1793005725500334BIB010","series-title":"Lecture Notes in Computer Science","volume-title":"Rough Sets, Fuzzy Sets, Data Mining and Granular Computing. 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