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The concept of soft set is introduced by Molodtsov, it can be seen as a new mathematical tool for dealing with uncertainty. In this paper, soft set theory is applied to pseudo-BCI algebras, the new notions of soft pseudo-BCI algebras and filteristic soft pseudo-BCI algebras are introduced. The relationships between soft pseudo-BCI algebras and soft non-commutative residuated lattices are presented. The union, intersection, int-product, uni-product and difference operations of (filteristic) soft pseudo-BCI algebras are investigated. Finally, another application of soft set to pseudo-BCI algebras is discussed, the new concept of int-soft filters in pseudo-BCI algebras is introduced, and related properties are proved.<\/jats:p>","DOI":"10.3233\/jifs-17777","type":"journal-article","created":{"date-parts":[[2018,1,19]],"date-time":"2018-01-19T11:00:24Z","timestamp":1516359624000},"page":"559-568","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":45,"title":["Soft set theoretical approach to pseudo-BCI algebras"],"prefix":"10.1177","volume":"34","author":[{"given":"Xiaohong","family":"Zhang","sequence":"first","affiliation":[{"name":"Department of Mathematics, School of Arts and Sciences, Shaanxi University of Science &amp; Technology, Xi\u2019an, P.R. China"},{"name":"Department of Mathematics, College of Arts and Sciences, Shanghai Maritime University, Shanghai, P.R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Choonkil","family":"Park","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Hanyang University, Seoul, South Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Supeng","family":"Wu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, School of Arts and Sciences, Shaanxi University of Science &amp; Technology, Xi\u2019an, P.R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2018,1,12]]},"reference":[{"key":"e_1_3_2_2_2","unstructured":"AhnS.S. KoJ.M. and SoK.S. 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