{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,7,26]],"date-time":"2023-07-26T08:01:50Z","timestamp":1690358510136},"reference-count":33,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["New Math. and Nat. Computation"],"published-print":{"date-parts":[[2021,11]]},"abstract":"<jats:p> In this study, we investigate the problem of how to define [Formula: see text]-nearness semiring in the sense of Nobusawa theory which extends the notion of a nearness rings, nearness semirings and [Formula: see text]-rings [N. Nobusawa, On a generalization of the ring theory, Osaka Journal of Mathematics 1 (1964) 81\u201389; M. A. \u00d6zt\u00fcrk, Semirings on weak nearness approximation spaces, Annals of Fuzzy Mathematics and Informatics15(3) (2018) 227\u2013241; M. A. \u00d6zt\u00fcrk and E. \u0130nan, Nearness rings, Annals of Fuzzy Mathematics and Informatics 17(2) (2019) 115\u2013132]. Also, we introduce some properties of approximations and their algebraic structures. <\/jats:p>","DOI":"10.1142\/s1793005721500289","type":"journal-article","created":{"date-parts":[[2021,3,4]],"date-time":"2021-03-04T02:20:53Z","timestamp":1614824453000},"page":"571-588","source":"Crossref","is-referenced-by-count":3,"title":["Nobusawa Gamma Nearness Semirings"],"prefix":"10.1142","volume":"17","author":[{"given":"Mehmet Ali","family":"\u00d6zt\u00fcrk","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Arts and Sciences, Ad\u0131yaman University, 02040\/Ad\u0131yaman, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hasret","family":"Yazarli","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences, Sivac Cumhuriyet University, 58140 Sivas, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,4,1]]},"reference":[{"key":"S1793005721500289BIB001","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1966.18.411"},{"key":"S1793005721500289BIB003","first-page":"251","volume":"42","author":"Biswas R.","year":"1994","journal-title":"Bulletin of the Polish Academy Mathematics"},{"issue":"2","key":"S1793005721500289BIB004","first-page":"49","volume":"24","author":"Davvaz B.","year":"1998","journal-title":"Bulletin of the Iranian Mathematical Society"},{"key":"S1793005721500289BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2003.10.001"},{"key":"S1793005721500289BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-9333-5"},{"issue":"4","key":"S1793005721500289BIB007","first-page":"545","volume":"41","author":"\u0130nan E.","year":"2012","journal-title":"Hacettepe Journal of Mathematics and Statistics"},{"issue":"2","key":"S1793005721500289BIB008","first-page":"279","volume":"43","author":"\u0130nan E.","year":"2014","journal-title":"Hacettepe Journal of Mathematics and Statistics"},{"issue":"2","key":"S1793005721500289BIB009","first-page":"287","volume":"10","author":"\u0130nan E.","year":"2015","journal-title":"Annals of Fuzzy Mathematics and Informatics"},{"key":"S1793005721500289BIB010","first-page":"673","volume":"35","author":"Iwinski T. 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