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Jun, which is a kind of nonclassical logic algebra and close connection with various non-commutative fuzzy logic algebras. In this paper, hesitant fuzzy theory is applied to pseudo-BCI algebras. The new concepts of hesitant fuzzy filter and anti-grouped hesitant fuzzy filter in pseudo-BCI algebras are proposed, and their characterizations are presented. Also, the relationships between fuzzy filters and hesitant fuzzy filters are discussed. Moreover, by introducing the notion of tip-extended pair of hesitant fuzzy filters, a new union operation (generated by the union of two hesitant fuzzy filters) is defined and it is proved that the set of all hesitant fuzzy filters in pseudo-BCI algebras forms a bounded distributive lattice about intersection and the new union.<\/jats:p>","DOI":"10.3233\/jifs-172024","type":"journal-article","created":{"date-parts":[[2018,8,5]],"date-time":"2018-08-05T06:39:41Z","timestamp":1533451181000},"page":"3333-3345","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["The lattice generated by hesitant fuzzy filters in pseudo-BCI algebras"],"prefix":"10.1177","volume":"35","author":[{"given":"Chunxin","family":"Bo","sequence":"first","affiliation":[{"name":"School of Arts and Sciences, Shaanxi University of Science &amp; Technology, Xi\u2019an, P.R. 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