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Based on this, we systematically study the relationships between two types of three-way concepts (i.e., object-induced three-way concepts and attribute-induced three-way concepts) and classical concepts. More specifically, we can obtain all object-induced (attribute-induced) three-way concepts based on four relationships between all classical concepts and object-induced (attribute-induced) three-way concepts, where the four relationships are characterized by four theorems. After that, two algorithms are proposed to build an object-induced concept lattice and an attribute-induced concept lattice, respectively, and examples are given to verify these algorithms.<\/jats:p>","DOI":"10.3233\/jifs-17530","type":"journal-article","created":{"date-parts":[[2018,6,29]],"date-time":"2018-06-29T16:40:59Z","timestamp":1530290459000},"page":"1063-1075","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":6,"title":["Relationships between three-way concepts and classical concepts"],"prefix":"10.1177","volume":"35","author":[{"given":"Hua","family":"Mao","sequence":"first","affiliation":[{"name":"Department of Mathematics and Information Science, Hebei University, Baoding, China"}]},{"given":"Shufeng","family":"Zhao","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Information Science, Hebei University, Baoding, China"}]},{"given":"Lanzhen","family":"Yang","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Information Science, Hebei University, Baoding, China"}]}],"member":"179","published-online":{"date-parts":[[2018,6,28]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-7798-3_15"},{"key":"e_1_3_2_3_2","unstructured":"GanterB. and WilleR. 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