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Since the introduction of this concept, the application of soft sets has been restricted to associative algebraic structures (groups, semigroups, associative rings, semi-rings etc). Acceptably, though the study of soft sets, where the base set of parameters is a commutative structure, has attracted the attention of many researchers for more than one decade. But on the other hand there are many sets which are naturally endowed by two compatible binary operations forming a non-associative ring and we may dig out examples which investigate a non-associative structure in the context of soft sets. Thus it seems natural to apply the concept of soft sets to non-commutative and non-associative structures. In present paper, we make a new approach to apply Molodtsov\u2019s notion of soft sets to LA-ring (a class of non-associative ring). We extend the study of soft commutative rings from theoretical aspect.<\/jats:p>","DOI":"10.3233\/ifs-151862","type":"journal-article","created":{"date-parts":[[2016,3,1]],"date-time":"2016-03-01T10:46:04Z","timestamp":1456829164000},"page":"1537-1546","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Application of soft sets to non-associative rings"],"prefix":"10.1177","volume":"30","author":[{"given":"Tariq","family":"Shah","sequence":"first","affiliation":[{"name":"Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Asima","family":"Razzaque","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Inayatur","family":"Rehman","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Sciences, College of Arts and Applied Sciences, Dhofar University, Oman"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2016,1,22]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"crossref","first-page":"3458","DOI":"10.1016\/j.camwa.2010.03.034","article-title":"Soft sets and soft rings","volume":"59","author":"Acar U.","year":"2010","unstructured":"AcarU., KoyuncuF. and TanayB., Soft sets and soft rings, Computers and Math with Appl 59 (2010), 3458\u20133463.","journal-title":"Computers and Math with Appl"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2006.12.008"},{"key":"e_1_3_2_4_2","doi-asserted-by":"crossref","first-page":"1547","DOI":"10.1016\/j.camwa.2008.11.009","article-title":"On some new operations in soft set theory","volume":"57","author":"Ali M.I.","year":"2009","unstructured":"AliM.I., FengF., LiuX.Y., MinW.K. and ShabirM., On some new operations in soft set theory, Computers and Math with Appl 57 (2009), 1547\u20131553.","journal-title":"Computers and Math with Appl"},{"key":"e_1_3_2_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(94)90331-X"},{"key":"e_1_3_2_7_2","doi-asserted-by":"crossref","first-page":"757","DOI":"10.1016\/j.camwa.2004.10.036","article-title":"The parametrization reduction of soft sets and its Applications","volume":"49","author":"Chen D.","year":"2005","unstructured":"ChenD., The parametrization reduction of soft sets and its Applications, Computers and Math with Appl 49 (2005), 757\u2013763.","journal-title":"Computers and Math with Appl"},{"key":"e_1_3_2_8_2","doi-asserted-by":"crossref","first-page":"2621","DOI":"10.1016\/j.camwa.2008.05.011","article-title":"Soft semirings","volume":"56","author":"Feng F.","year":"2008","unstructured":"FengF., JunY.B. and ZahoX., Soft semirings, Computers and Math with Appl 56 (2008), 2621\u20132628.","journal-title":"Computers and Math with Appl"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(87)90148-5"},{"key":"e_1_3_2_10_2","doi-asserted-by":"crossref","first-page":"1408","DOI":"10.1016\/j.camwa.2008.02.035","article-title":"Soft BCK\/BCI-algebras","volume":"56","author":"Jun Y.B.","year":"2008","unstructured":"JunY.B., Soft BCK\/BCI-algebras, Computers and Math with Appl 56 (2008), 1408\u20131413.","journal-title":"Computers and Math with Appl"},{"key":"e_1_3_2_11_2","first-page":"2466","article-title":"Applications of soft sets in ideal theory of BCK\/BCI-Algebras","volume":"178","author":"Jun Y.B.","year":"2008","unstructured":"JunY.B. and ParkC.H., Applications of soft sets in ideal theory of BCK\/BCI-Algebras, Information Sciences 178 (2008), 2466\u20132475.","journal-title":"Information Sciences"},{"key":"e_1_3_2_12_2","unstructured":"KamranM.S. 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