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Using the notion of soft-union sets in ordered semigroup, we characterize ordered semigroups in terms of union-soft (uni-soft) quasi-ideals. We characterize left, right simple and completely regular ordered semigroups in terms of uni-soft quasi-ideals. We define semiprime uni-soft quasi-ideal of ordered semigroups and characterize completely regular ordered semigroup in terms of semiprime uni-soft quasi-ideals. We also study the decomposition of left and right simple ordered semigroups having special property, by means of uni-soft quasi-ideals.<\/jats:p>","DOI":"10.3233\/ifs-151734","type":"journal-article","created":{"date-parts":[[2016,1,15]],"date-time":"2016-01-15T12:20:52Z","timestamp":1452860452000},"page":"97-107","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":7,"title":["Applications of soft union sets in ordered semigroups via uni-soft quasi-ideals"],"prefix":"10.1177","volume":"30","author":[{"given":"Asghar","family":"Khan","sequence":"first","affiliation":[{"name":"Department of Mathematics, Garden Campus, Abdul Wali Khan University, Mardan KPK, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Young Bae","family":"Jun","sequence":"additional","affiliation":[{"name":"Department of Mathematics Education and RINS, Gyeongsang National University, Chinju, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Syed Inayat","family":"Ali Shah","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Islamia College University, Peshawar, KPK, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Raees","family":"Khan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Garden Campus, Abdul Wali Khan University, Mardan KPK, Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2015,8,31]]},"reference":[{"key":"e_1_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(99)00056-5"},{"key":"e_1_3_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2010.03.034"},{"issue":"7","key":"e_1_3_1_4_2","article-title":"The algebraic theory of semigroups","volume":"1","author":"Clifford A.H.","year":"1961","unstructured":"CliffordA.H. and PrestonG.B., The algebraic theory of semigroups, Mathematical Surveys 1(7) (1961), AMS.","journal-title":"Mathematical Surveys"},{"key":"e_1_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2006.02.004"},{"issue":"1","key":"e_1_3_1_6_2","first-page":"27","article-title":"On completely regular ordered semigroups","volume":"1","author":"Kehayopulu N.","year":"1998","unstructured":"KehayopuluN., On completely regular ordered semigroups, Sci Math 1(1) (1998), 27\u201332. 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