{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:29:04Z","timestamp":1760236144258,"version":"build-2065373602"},"reference-count":34,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2021,10,24]],"date-time":"2021-10-24T00:00:00Z","timestamp":1635033600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11801440,12001422"],"award-info":[{"award-number":["11801440,12001422"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Basic Research Plan in Shaanxi Province of China","award":["2019JQ-816"],"award-info":[{"award-number":["2019JQ-816"]}]},{"name":"Innovation and Entrepreneurship Training Program for College Students","award":["202110705035"],"award-info":[{"award-number":["202110705035"]}]},{"name":"2021 Provincial College Students\u2019 Innovation and Entrepreneurship Training Program in Henan Province","award":["S202110479028"],"award-info":[{"award-number":["S202110479028"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Three-way concept analysis (3WCA) is extended research of formal concept analysis (FCA) by combining three-way decision. The three-way object oriented concept lattice (OEOL) is one of the important data structures which integrates rough set, concept lattice and three-way decision in 3WCA. In the paper, we investigate the characteristics of formal context based on the isomorphic relationship among the kinds of concept lattices with OEOL. Firstly, II-dual intersectable attributes and II-dual intersectable context are proposed and the relationship between the type I-dual intersectable context(dual intersectable context) and the type II-dual intersectable context are studied. In addition, the relationship among the kinds of concept lattices with OEOL are studied when the formal context is both I-dual intersectable context and II-dual intersectable context. Finally, the inverse problems of the above conclusions are discussed and the following two conclusions are obtained: (1) the formal context is the type II-dual intersectable context, when the object oriented concept lattice and OEOL are isomorphic. (2) In addition, the formal context is the type I-dual intersectable context, when the concept lattice and OEOL are anti-isomorphic.<\/jats:p>","DOI":"10.3390\/e23111397","type":"journal-article","created":{"date-parts":[[2021,10,24]],"date-time":"2021-10-24T22:06:16Z","timestamp":1635113176000},"page":"1397","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["The Feature Description of Formal Context Based on the Relationships among Concept Lattices"],"prefix":"10.3390","volume":"23","author":[{"given":"Ting","family":"Qian","sequence":"first","affiliation":[{"name":"College of Science, Xi\u2019an Shiyou University, Xi\u2019an 710065, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6775-1189","authenticated-orcid":false,"given":"Yongwei","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China"}]},{"given":"Xiaoli","family":"He","sequence":"additional","affiliation":[{"name":"College of Science, Xi\u2019an Shiyou University, Xi\u2019an 710065, China"}]}],"member":"1968","published-online":{"date-parts":[[2021,10,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Rival, I. 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