Sources, Y.W.; software program, Y.L.; supervision, Y.G.; validation, Y.G.; visualization, W.P.; writing–original draft, Y.L.; writing–review and editing, D.J. All authors have read and agreed to the published version on the manuscript.Entropy 2021, 23,9 ofFunding: This perform is supported by the National Organic Science Foundation of China (Grant Nos. 61871407, 61801522). Information Availability Statement: The information made use of are incorporated in the write-up. Conflicts of Interest: The authors declare no conflict of interest.entropyArticleThe Feature Description of Formal Context Determined by the Relationships amongst Concept LatticesTing Qian 1, , Yongwei Yang1and Xiaoli HeCollege of Science, Xi’an Shiyou University, Xi’an 710065, China; [email protected] College of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China; [email protected] Correspondence: [email protected]: Qian, T.; Yang, Y.; He, X. The Function Description of Formal Context Based on the Relationships amongst Notion Lattices. Entropy 2021, 23, 1397. 10.3390/e23111397 Academic Editors: Alessandra Palmigiano, Yiyu Yao and Willem Conradie Received: 11 September 2021 Accepted: 20 October 2021 Published: 24 OctoberAbstract: Three-way concept analysis (3WCA) is extended analysis of formal idea evaluation (FCA) by combining three-way choice. The three-way object oriented notion lattice (OEOL) is among the essential data structures which integrates rough set, notion lattice and three-way choice in 3WCA. In the paper, we investigate the traits of formal context depending on the PF-05381941 MAPK/ERK Pathway isomorphic partnership among the sorts of idea lattices with OEOL. Firstly, II-dual intersectable attributes and II-dual intersectable context are proposed and the connection amongst the sort I-dual intersectable context(dual intersectable context) plus the variety II-dual intersectable context are studied. Furthermore, the connection among the sorts of notion lattices with OEOL are studied when the formal context is both I-dual intersectable context and II-dual intersectable context. Finally, the inverse challenges of the above conclusions are discussed and also the following two conclusions are obtained: (1) the formal context would be the kind II-dual intersectable context, when the object oriented idea lattice and OEOL are isomorphic. (2) Furthermore, the formal context is definitely the variety I-dual intersectable context, when the idea lattice and OEOL are anti-isomorphic. N1-Methylpseudouridine-5′-triphosphate Purity & Documentation Keywords and phrases: formal context; notion lattice; the three-way selection; the three-way object oriented concept lattice; II-dual intersectable context1. Introduction So as to find an application carrier for lattice, FCA was proposed by Wille in 1982 [1,2]. It studies the hierarchical structures (that’s, idea lattice) that is induced by a binary relation of objects and attributes. In current years, FCA becomes an helpfull tool for data processing and knowledge discovery [30]. For adapting to distinct information analysis, Wang et al. studied the AFS concept lattice [11]. Ma et al. proposed the variable threshold idea lattice [12]. Guo et al. offered the power idea lattice [13]. Li et al. gave the approximate idea lattice [14] based on incomplete information. D tsch and Gediga [15] and Yao [16] proposed the house oriented notion the lattice and object oriented notion lattice, respectively, and so on. Recently, an outline of three-way selection was proposed [17]. Conflict evaluation and FCA has been broadly developed depending on three-way d.